Congruent Triangles

Congruent Triangles Congruent triangles mean those triangles which are congruent with each other. Two triangles are said to be congruent if any of the following axioms are fulfilled: - SSS (Side, Side, Side) axiom, ASA (Angle, Side, Angle) axiom, SAS (Side, Angle, Side) axiom, AAS (Angle, Angle, Side) axiom and RHS (Right angle, Hypotenuse, Side) axiom. These five axioms are important for the proof of congruency. This can be more clarified by the following examples:- Example 1:- Proof that two triangles ABC and FDE shown below are congruent to each other. All dimensions are in cm Solution: In triangle ABC, AB = 50 cm, AC = 40 cm and BC = 60 cm Now in triangle FDE, FD = 50 cm, FE = 40 cm and DE = 60 cm By comparing both triangles we find the following:- AB = FD = 50 cm, AC = FE = 40 cm and BC = DE = 60 cm Therefore by SSS axiom, Triangle ABC and Triangle FDE are congruent to each other Example 2:- Proof that two triangles ABC and DEF shown below are congruent to each other. Here AB = 10 cm and BC = 5 cm and angle ABC = 60 degree Also DE = 10 cm and EF = 5 cm and angle DEF = 60 degree Solution: Given In triangle ABC, AB = 10 cm, Angle ABC = 60 degree, BC = 5 cm In triangle DEF, DE = 10 cm, Angle DEF = 60 degree and EF = 5 cm By carefully examining we see the following:- AB = DE, Angle ABC = Angle DEF and BC = EF Therefore by axiom SAS, both triangles are congruent.

The Ultimate Guide to Notes on a Guitar

The Ultimate Guide to Notes on a Guitar Sign up successful In simple terms, a guitar works by disrupting air around the strings, creating a vibration. That vibration is then amplified by the hollow chamber of the guitar and the guitar bridge to create the sounds you hear. The speed and depth of the strings vibration influences the pitch of the sound that comes from the guitar. Electric guitars work in a similar fashion, but instead of the sound vibrating through a hollow chamber, the sounds of the strings vibrating against the bridge are amplified by an outside speaker. Electric guitars, on their own, are very quiet. The strings dont produce much noise unless an amp is attached, because the sound of the string has no hollow chamber to travel into. A traditional guitar has six strings and each string is responsible for a different note. The strings width influences the amount of vibration thats produced by the string, which influences the sound of each note. The length of the string also comes into play. You may notice that a mandolin, for example, has a higher pitch than a traditional acoustic guitar. This is because the strings are shorter, and thus the sound needs less time to travel. Frets, which will be covered in-depth below, can help you change the pitch of a note, or change the note of a string to a completely different one. Notes on a guitar are both fluid and concrete. An open string on a well-tuned guitar will always be the same note, but pressing the frets down to alter the distance between the string and the bridge can completely change the resulting sound. Guitar String Notes The notes on a guitar are created by the strings of the guitar. When holding a guitar, the thickest string, the E string, is at the top of the guitar. The E note is the deepest note. The rest of the strings get progressively thinner and the notes get higher in pitch. Theyre responsible for the A, D, G, B and E notes, respectively. The thinnest string, which is situated at the bottom of the guitar when youre holding it, is responsible for the E note, which is two  octaves up from the low E note. As you may note on your guitar, there are also marks along the neck of guitar. These markers indicate the different frets on the guitar. Your guitar may have anywhere between 16 and 24 frets. When you strum a string without pressing down on a fret, its known as an open chord. Each fret represents one half-step of the musical scale. In order to play a higher pitch note, regardless of the string youre playing, your hands would be placed on a fret closer to the bridge of the guitar. If youre fretting at the second fret marker on the guitar, the low E turns into an F sharp, which is often denoted as F#. Focusing on the low E string, holding down the first fret will produce an F, while holding down the second fret will produce an F#; the third fret will produce a G and the fourth, a G#. The seventh fret on the low E string will produce the B note, while the eighth fret will produce the C note. This process can be replicated on each of the remaining five strings. How to Learn Guitar Notes For the novice guitar player, the above information may seem complicated. Remember: rock stars, professional session players, and even music teachers started at the same place you are now. The good news, however, is that if you can master guitar notes and gain an in-depth understanding of how they work, youre well on your way to truly understanding music theory and being able to play the songs you hear on the radio on your guitar. So now youre probably wondering about the best ways to learn guitar notes. Here are some of the best options. Private Lessons Learning to play an instrument isnt easy, especially for individuals who have never picked up the instrument before. The guitar, in particular, can seem confusing, but really is a straightforward instrument to play. Once a student understands the basics, its perhaps the most enjoyable instrument out there. To learn the basics, including the anatomy of a guitar, students would be best served learning from a private instructor. A private instructor can offer the guidance and explanation needed for students to truly understand the structure of the guitar. This is an important framework for understanding how notes on a guitar work, and how they work together to create chords, chord progressions, and eventually songs/blog/basic-guitar-chords-easy-songs-beginners. Mnemonic Devices To start  learning guitar notes, youll need to memorize them. To do this, you can take yourself back in time to when you were first in grammar school. At some point you probably used mnemonic devices to remember grammar rules or the planets  in the solar system. Simply put, a mnemonic device is a technique that helps you remember something by attaching a rhyming scheme to it, or a phrase. When it comes to the notes on a guitar, the strings  progress as E, A, D, G, B, E. Several professional musicians use the mnemonic device, “Eddie ate dynamite, good-bye Eddie.” Mnemonic devices can help you remember the names of each note, but for this to be truly helpful, youll need to memorize them with the guitar in front of you. Playing each note while reciting it out loud is perhaps the best way to learn the basics. Experts suggest starting with open notes. An open note, as you know, is simply the act of strumming a string without fretting. Memorizing Intervals The guitar strings are tuned in intervals of fourths, starting from the lowest pitched string. That means that the next higher string is 5 half-steps above the previous string. This is true for all sets of strings except for the relationship between the third and second string, which is a third interval (4 half-steps) instead of a fourth interval. Start by identifying and memorizing all interval fingerings within an octave that are in a practical position to play on the guitar. For example,  looking at the chart to the left, find all the As. You can play A on the fifth fret of the E string, on the open A string, the seventh fret of the D string, the second fret of the G string, and so on. When you reach the fingering of a fifth interval, youll have three practical shape options: Same string / 7 frets up Next higher string / 2 frets up Skip a string / 3 frets down Keep in mind to compensate for the third interval tuning between the third and second strings whenever you use or cross over the second string. Once you feel comfortable with visualizing all possible fingerings within an octave, it’s time to explore these same intervals but in reverse. This  time around, let’s start with the first note on the first string and work ourselves down in pitch using the same interval fingerings but in reverse. Remember to stick to practical fingerings that you can incorporate into your playing. The next step would be to explore interval fingerings that are larger than an octave.  You can use the next higher or lower octave note as an anchor point to help you visualize where you need to go. This alone will take lots of patient practicing and visualizing. If youre a visual learner, looking at a guitar fretboard chart â€" like the one pictured â€" can really help. You can use this chart to practice even when you don’t have a guitar around. Practice It may sound cliché, but now that you have a basic understanding of the notes on a guitar and how they all work in conjunction together, the best step to mastering these very basic concepts is to practice. Experts suggest looking at the notes and playing each one so you can gain a better understanding of how each note sounds. Experts also suggest completing note exercises with an electric tuner attached to the guitar. A tuner is a small device that connects to the neck of the guitar and measures the tone of each note. Mostly used to help players tune their guitar, its a great learning tool too. It can help you understand how each note should sound when the guitar is correctly tuned, and itll further help you understand how the notes on a guitar are connected to the strings that are being strummed. Remember to have fun when practicing guitar notes! When you step out of a private lesson, you shouldnt just put your guitar away until the next week. Instead, go home and have fun with what you learned. Try out different guitar notes, follow along to your favorite songs, and try to work out the notes that are most commonly used in your favorite music. This will not only give you a deeper appreciation for the art of playing guitar, but itll make your practice a fun experience. Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photos by Eli Christman, poppy

Kids Wish Their Doctors Would Talk to Them about ADHD

Kids Wish Their Doctors Would Talk to Them about ADHD A recent study found that kids with ADHD would like to talk to their doctors directly about ADHD medication and ADHD symptoms, but dont often ask the questions that are on their mind. Researchers at the University of North Carolina at Chapel Hill surveyed 70 kids between the ages of 7-17 who were diagnosed with ADHD and were prescribed ADHD medication by their pediatricians or primary care providers. One-third of the kids said that they wished their doctor spent more time talking to them directly about their ADHD, and 57% percent reported that their doctor spent most of the appointment talking to their parents. So, what do kids want to talk about with their doctor? What are the questions that are on their mind? The kids in this study were presented with a list of questions related to ADHD or ADHD medication and were asked to choose the questions that they would like to ask. On average, kids selected 8 questions. The number one question, chosen by 75% of the kids, was Will I outgrow my ADHD? Other top questions included: Do a lot of people have ADHD? Are there other things I can do at home to help my ADHD? Should I take my ADHD medication every day? The results from this study suggest that opportunities are being missed that would otherwise allow kids with ADHD to feel heard and to participate in their treatment from an early age. ADHD is a chronic disorder, and one that requires a high level of parent involvement throughout childhood and adolescence. However, parent involvement doesnt need to be at the exclusion of child participation in appointments, treatment planning, and day-to-day management. In fact, gradually encouraging your child to take a more active role in managing his or her ADHD can be empowering. If your child is accustomed to sitting in the background while the adults in the room discuss ADHD, then it will probably take some encouragement on your part to get him or her involved in his or her own care. The following tips will help you prepare your child to talk to his or her doctor at the next appointment. Start the conversation at home. A few weeks (or more) before your childs next appointment, start having conversations about questions he or she might like to have answered by his or her doctor. Many kids feel embarrassed about having ADHD, and may hold back during these conversations with their parents. Thats okay. Take it slow, and help your child feel more comfortable by sharing some things that youve been curious about when it comes to ADHD. Follow your childs lead. You want to encourage your child to talk to his or her doctor if he or she has questions, but you also dont want to force the issue. If your child seems overwhelmed in conversations with you at home, ask them to privately write down one or two questions he or she might like to have answered about his or her ADHD. Tell him or her to share the questions with you or keep them private, its his or her choice. The goal is to get your child thinking about his or her ADHD and things he or she might like to ask the doctor, even if he or she is not ready to talk about them right now. The day before your childs next appointment ask him or her if he or she would like to have the opportunity to ask the doctor some of the questions you had discussed (or that he or she had written down). If he or she hasnt done so already, encourage your child to write these questions down ahead of time so he or she can recall them easily during the appointment. During the appointment, create space for your child to speak by letting the doctor know that your child has some questions. Then turn the floor over to your child. Teens and tweens may prefer to talk to their doctor privately about their ADHD concerns. While parents should always be involved in appointments that include a discussion of ADHD symptoms and medication side effects, the doctor can set aside a few minutes for an individual discussion with your child. Encourage your teen to ask the doctor if they can have a few minutes to discuss ADHD one-on-one. By creating opportunities for your child to actively participate in their ADHD treatment you are providing an opportunity for your child to learn skills that will serve him or her well for a lifetime. The more empowered and the more involved he or she is in his or her treatment, the more your child will feel in charge of his or her ADHD. For additional study information: Betsy Sleath et al. (2017). Youth Views on Communication about ADHD and Medication Adherence. Community Mental Health Journal, 53: 438-444. DOI: 10.1007/s10597-016-0078-3 ABOUT DR. MARY ROONEY Mary Rooney, Ph.D., is a licensed clinical psychologist in the Department of Psychiatry at the University of California San Francisco. Dr Rooney is a researcher and clinician specializing in the evaluation and treatment of ADHD and co-occurring behavioral, anxiety, and mood disorders. A strong advocate for those with attention and behavior problems, Dr. Rooney is committed to developing and providing comprehensive, cutting edge treatments tailored to meet the unique needs of each child and adolescent. Dr. Rooney's clinical interventions and research avenues emphasize working closely with parents and teachers to create supportive, structured home and school environments that enable children and adolescents to reach their full potential. In addition, Dr. Rooney serves as a consultant and ADHD expert to Huntington Learning Centers. ABOUT HUNTINGTON Huntington Learning Center is the tutoring and test prep leader. Its certified tutors provide individualized instruction in reading, phonics, writing, study skills, elementary and middle school math, Algebra through Calculus, Chemistry, and other sciences. It preps for the SAT and ACT, as well as state and standardized exams. Huntington programs develop the skills, confidence, and motivation to help students of all levels succeed and meet the needs of Common Core State Standards. Founded in 1977, Huntington's mission is to give every student the best education possible. Call us today at 1.800.CAN LEARN to discuss how Huntington can help your child. For franchise opportunities please visit www.huntingtonfranchise.com. This website does not provide medical advice, diagnosis, or treatment. The material on this site is provided for educational purposes only.

Great Summer Reading Programs

Great Summer Reading Programs Great Summer Reading Programs One of the best and simplest ways to prevent your childs reading proficiency levels from declining this summer is to establish a daily reading habit. And with the relaxed pace of summer, your child might be happy to hear that he or she is free to choose whatever books sound the most interestinga welcome change from the school year, which is undoubtedly busy with required school reading. Want to give your child a nudge in the right direction? Why not enroll him or her in a summer reading program? Summer reading programs offer a fun way for children to keep track of their reading and rewards for completing reading milestones. Huntington Learning Centers offer a summer reading program to all of their students in grades K through twelve. Your local library or bookstore may have a reading program, and there are also a number of excellent online options as well. Here are a few online summer reading programs for you to explore: Scholastics Summer Challenge · The Scholastic Summer Reading Challenge runs May 7 to September 7, 2018. Once you register your child, you will receive book lists, activities and tips and your child can earn weekly virtual badges and free book excerpts for meeting certain milestones. The program also features a sweepstakes with a range of prizes. www.scholastic.com/summer Barnes Noble Summer Reading · Barnes Noble provides a reading journal in which your child records the books he or she reads and a little about the book. The program runs from May 15, 2018 to September 3, 2018. After finishing eight books, a child can bring the reading journal into a Barnes Noble store and redeem it for a free book. www.barnesandnoble.com/summerreading Pizza Hut Book It Summer Program · Pizza Huts summer reading program (called Spark Your Greatness) asks children to read books and record them on the program website. Participants are then entered into a sweepstakes for prizes. In addition, the program has activity calendars and games. www.bookitprogram.com/summer Half Price Books Feed Your Brain Summer Reading Program · Half Price Booksthe independent new and used bookstore chain in 16 stateshas a summer program in which children ages 14 and under are challenged to read for 15 minutes a day in June and July. Once they reach 300 minutes, they can turn in their completed reading log to earn $5 in bookworm bucks, redeemable in the Half Price Books marketplace. Top reader awards are given out each month, too. www.hpb.com/fyb Huntington Learning Centers across the country offer a reading adventure program during the summer months, which encourages students to keep reading. Reading Adventure runs from May to August and is open to students in all grades who are currently enrolled in a Huntington program. Students choose books from Huntingtons pre-selected book lists, which offer a variety of high-interest choices by grade level and reading ability. Each student receives a reading passport in which to record books as completed and make a few notes of what he or she learned and enjoyed about each book. A summer reading program is a great way to incentivize your child to stick with reading all summer long. These programs all strive to make reading enjoyable, reward progress and encourage children to commit to reading as a hobby of choice. The summer is upon usget started now, and help your child start off on the right foot for a fun-filled summer of learning and exploration. . About Huntington Huntington is the tutoring and test prep leader. Its certified tutors provide individualized instruction in reading, phonics, writing, study skills, elementary and middle school math, Algebra through Calculus, Chemistry, and other sciences. It preps for the SAT and ACT, as well as state and standardized exams. Huntington programs develop the skills, confidence, and motivation to help students succeed and meet the needs of Common Core State Standards. Founded in 1977, Huntingtons mission is to give every student the best education possible. Learn how Huntington can help at www.huntingtonhelps.com. For franchise opportunities please visit www.huntingtonfranchise.com.

The Dangers Of Taking Focus Medications For Studying

The Dangers Of Taking Focus Medications For Studying Image via betches.com Adderall, the most commonly abused stimulant on college campuses, carries the same effects. Some people believe that since this drug is an actual prescribed medication, it can’t be “that bad.” But, it is. First of all, stimulant drugs are mostly used for school. Good for you? Not exactly. These drugs are abused in order to improve study efficiency. So, naturally, students believe better study habits create better grades. Wrong. According to drugabuse.gov, “Prescription stimulants do promote wakefulness, but studies have found that they do not enhance learning or thinking ability when taken by people who do not actually have ADHD. Also, research has shown that students who abuse prescription stimulants actually have lower GPAs in high school and college than those who don’t.” What is happening in your body when you do happen to take this drug? To start off, dopamine greatly increases. This chemical in your brain is the neurotransmitter for pleasure, movement, and attention. For actual patients with ADHD, the drug amount is slowly enlarged to steadily reach a beneficial effect. Therefore, when you take someone else’s dosage, it will not cooperate with your brain at all. Additionally, there is more that goes on. Such stimulants increase blood pressure and heart rate, thus putting you at risk for heart attack. The desire to eat and sleep is also decreased. Abuse can lead to malnutrition. With malnutrition comes hostility, paranoia, and serious cardiovascular difficulties. Focusing again on the heightened levels of dopamine, withdrawal symptoms are a factor. Fatigue and depression follow the abuse of stimulants. Consequently, the feeling that is attained when taking such a drug creates a state of euphoria for the user. Dopamine in the brain is rapidly amplified, causing the ecstasy and possibly resulting in the risk of addiction. Image via addictioncenter.com But wait, why would you need to be in a state of euphoria to study? The truth is, not only is Adderall used for school, it is used for partying. What a shocker it must be. And what a surprise it also must be that there are negative side effects to abusing prescription drugs. Stats from 2012.Image via medicineabuseproject.org Students with the prescribed medication carry the legal risk of dealing it. In legal terms, Amphetamine possession without a legal prescription is a crime. (Amphetamines being stimulants). Furthermore, dealing it has serious consequences. It comes down to intent to sell and attempted sale. Charging someone with intent to sell stimulants relies on evidence. It depends on the amount in the defendant’s possession, purity of the drug, and amount of cash from sales. Here is the interesting, yet scary, part, according to criminaldefenselawyer.com. “Under the Controlled Substances Act, a person convicted of selling or attempting to sell amphetamines near a school, including a college, or other areas where young people may be present faces  twice  the maximum prison sentence,  twice  the maximum fine, and  twice  the term of supervised release (21 U.S.C. 860).” So if you are thinking of selling amphetamines to your friends for a study-boost, think again. Those convicted of selling stimulants can earn five to 20 years in prison. Or, you can be fined $250,000 to $5 million. And if you happen to be super unlucky: both. Just for additional information, (hopefully this does not apply to any college campus), if someone dies because of your little Adderall sale, you face life in prison. So even if it is for school, it is still super illegal. Good thing there are alternatives to using Adderall for studying. First and foremost, caffeine is your friend. Coffee or soda, it will keep you awake. There is always a Starbucks open somewhere or a vending machine in order. Not only is this option cheaper, it is safer. Waiting until the last minute: we all do it. Start studying days before your exam so you do not have to cram all night and, therefore, result to Adderall. Do not put yourself in the position to take drugs. Skip the party. An effective way to not take drugs is to not be around them. In another perspective, the party will take up hours of study time. Therefore, if you study Saturday, you won’t have to cram Sunday. It all comes down to time management. If you put yourself in a position where you are crammed for time and cannot focus, that is when you start looking for ADHD medications. In conclusion, you do not want to have a heart attack nor do you want to get arrested with a felony. Stimulants can lead you to both. It is a greater risk over reward if there even is a reward.

5 Things to Know About Teacher Recommendations

5 Things to Know About Teacher Recommendations Tips from an Irvine Admissions Consultant: 5 Things to Know About Teacher Recommendations Tips from an Irvine Admissions Consultant: 5 Things to Know About Teacher Recommendations Most colleges and universities will allow students to provide two letters of recommendation on their behalf. A few larger universities will not look at recommendations at all and others will make it optional. Its important for applicants to know that “optional” is another way of saying “you should probably do this if you want to win a spot at this college”.   So if you do need recommendations from teachers, there are few things you should know before you ask. 1. Ask a teacher who has known you for at least a full year You may have met your very favorite teacher just this semester. Although that will make for a great senior year experience, a teacher who has known you for less than a year may not have as much to say as someone who has known you throughout high school. It’s always a good idea to ask teachers who can discuss that you have been a consistently prompt, intelligent, and involved student. Although teachers who have known you for two or three months might say lovely things, the recommendation may not carry the same weight (READ: 5 Things to do Before You Go Away for College). 2. Ask teachers who have given you consistent positive feedback It’s also important to ask teachers who have provided positive feedback over long periods of time. You may have gotten an A+ with excellent remarks on your latest assignment in Chemistry but received a C or D for the previous assignment. You dont want a teacher to say that you can excel some of the time to the college of your dreams. 3. One low grade doesn’t mean they wont write a good recommendation Although consistently good feedback is essential, one poor grade shouldn’t prevent a student from asking for a recommendation. If you have been in a teachers class for AP Language and  11th grade English, where you have received a 4.0 and excellent feedback, you shouldnt worry too much about that one C you got back in the 9th grade. Most educators know that students improve with time and that how they perform during junior and senior year is a better indicator than something that happened while they were transitioning to high school in the past. 4. Keep in mind that you wont see the letter of recommendation It’s important to remember that you won’t see the letter of recommendation written about you. Very few teachers will agree to write a recommendation if they know that students and parents are going to see their words. Colleges and universities require that recommendations be sent separately from the teacher to ensure that they are sincere and unbiased. If you have any doubts as to the specifics of the recommendation, it might be better to ask someone else (READ: Extra Curricular Activities For Your College Resume). 5. Give them ample time to write the recommendation One of the biggest issues teachers face is the amount of time students give them to write recommendations. Its important to remember that teachers may have dozens of students asking for references and that they will only be able to write so many in a short period of time. In fact, students who ask just a couple days before a due date may be denied the opportunity to receive a reference from an excellent educator. Additionally, even if the teacher is willing to write a last minute recommendation it certainly wont be as well written as if they had two or three weeks to thoughtfully sit down and review all of your contributions to the class or school (READ: College Application Crunch Time). In Short Asking teachers for recommendations can be nerve racking. Many students will be wondering what to do if the teacher declines or if the recommendation isnt as good as it needs to be. It’s a good idea to select who you will ask well in advance and make sure that you provide at least two weeks for each teacher to write and submit their letters. Many students get into college because of an excellent recommendation thus it’s a very important part of the college application process. Need help on your college application? Our experienced Orange County college admissions consultants have a 97% success rate. Call us today for more details. All blog entries, with the exception of guest bloggers, are written by Tutor Nerds. Are you an education professional? If so, email us at pr@tutornerds.com for guest blogging and collaborations. We want to make this the best free education resource in SoCal, so feel free to suggest what you would like to see us write.

Mastering Computer Skills How to Subdue High Technologies

Mastering Computer Skills How to Subdue High Technologies Today many people can’t imagine their lives without computers, laptops, tablets, smartphones, eBooks, GPS navigators and other gadgets. These devices serve not only for playing games and entertainment. They are also extremely helpful in work, study, research activity and just for being well up on recent events and developments. However, there are still very many people who are not familiar with the high tech appliances and they do not know how to find an approach to the “clever” machines. Older generation often neglects all benefits that computers may offer them or somebody may even be afraid to break down the sophisticated equipment with incautious touch. But in fact it is not so difficult to master the basic computer skills. Computer is not just a toy for killing time. Except for being indispensable tool for shopping, study, work and raising money, computer also supplies brilliant resources for creative work, self development and communication. There are many ways to learn computer skills for those who decided to assimilate into digital world. Learning centers offer numerous trainings, seminars and courses for people of all ages struggling with computers. However, the most efficient way is to hire a private tutor. What are the positive sides of studying computer craft with a personal tutor? Only one-on-one tutor may patiently explain the material as many times as needed for understanding and take into account the personal needs of a student. There is no need to hurry and change usual schedule, lessons may take place in any convenient time. It is possible to focus efforts on the most needed skills and software, instead of learning the standard set of topics the most part of which will never be of use. Student may choose in-person or online tutoring, lessons may take place at home or in the nearby library according to student’s preferences. Mastering computer skills is like learning to swim or to ride a bicycle. It is frightening at the beginning but it becomes easy with each new step and there are plenty of fun afterwards. Do not deprive yourself of the wonderful opportunities provided by the modern technologies! Find the best tutor in computer skills on TutorZ.com