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Unit 4 congruent triangles - Unit 4 (Chapter 4/5) - Congruent Triangles . and Δ Inequalities # DATE TOPIC OBJECTI

UNIT 4: Triangle Congruence NAME:_____ REVIEW FOR TEST

Unit 4: Congruent Triangles. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. Neleigh_Johnson. Terms in this set (17) acute triangle. ... Method to prove triangles congruent when two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.Arrange students in groups of 2. First, display the congruence statement, "Triangle \(ABC\) is congruent to triangle \(A'B'C'\)." for all to see.Tell students their job is to think of at least one thing they know must be true, one thing that could possibly be true, and one thing that definitely can't be true about each statement or image.Unit 4 Congruence in Triangles In this unit, we will learn about the different types of triangles and the ways to determine triangle congruence. We'll classify the different types of triangles, based on side lengths and angle measurements. Next, we'll discuss congruence. Congruent figures have the same shape and size.Choose the appropriate measurement for solving a problem. Find scale factor using division. Generate a scale drawing. Generate a scale drawing using fraction and decimal scale factors. Generate a scale drawing using scale factors greater than and less than one. Identify scale factors using rectangle side lengths. If three side of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. (Postulate to prove triangles congruent) ... Geometry Unit 7 Congruent Triangles. 19 terms. mlnorwood. Geometry Chapter 4. 19 terms. Peter_M2. Unit 6 - Triangle Congruence. 11 terms. alodovic. OTHER SETS BY THIS CREATOR.Unit 4 Congruent Triangles Homework 5 Proving Triangles Congruent Sss And Sas. A professional essay writing service is an instrument for a student who's pressed for time or who doesn't speak English as a first language. However, in 2022 native English-speaking students in the U.S. become to use essay help more and more.There's no other one place to put this third side. So SAS-- and sometimes, it's once again called a postulate, an axiom, or if it's kind of proven, sometimes is called a theorem-- this does imply that the two triangles are congruent. So we will give ourselves this tool in our tool kit. We had the SSS postulate.As far as I am aware, Pira's terminology is incorrect. The three types of triangles are Equilateral for all sides being equal length, Isosceles triangle for two sides being the same length and Scalene triangle for no sides being equal. Also, depending on the angles in a triangle, there are also obtuse, acute, and right triangle.CONGRUENCE OF TRIANGLES 137 EXAMPLE 1 ∆ABC and ∆PQR are congruent under the correspondence: ABC ↔ RQP Write the parts of ∆ABC that correspond to (i) (ii) ∠Q (iii) RP SOLUTION For better understanding of the correspondence, let us use a diagram (Fig 7.7). Fig 7.7 The correspondence is ABC ↔ RQP.Unit 4: Congruent Triangles Notes. EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian Lithuanian česk ...Unit 4 Table of Contents (Congruent Triangles) Concept Page Number Intro to Congruence 7-8 Corresponding Parts 9-10 Congruence Statements 11-12 Congruence Theorems (SSS, SAS, AAS, ASA, HL) 13-15 Isosceles and Equilateral Triangles 16-17 ©2018 Math in DemandIf two angles of a triangle are congruent, then the sides opposite those angles are congruent. Theorem 4-5. If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base. Corollary to Isosceles Triangle Theorem. If a triangle is equilateral, then the triangle is equiangular. Unit 4 – Congruent Triangles 4.4 – Proving Triangles are Congruent using SSS and SAS B N X d A n C M n P ABCA DNPM by SSS B N n A 1 C My 1 P angle between Sides DNMPIDBAC.by SAS b B N A c c M q P side between L's BABCEDMNP by ASA B N A 4 am 11 P non included side DBACEDNMP by AAS Right D'S B N ONLY hyp hyp no e …When you have finished this LIFEPAC, you should be able to: 1. State the definition of congruent triangles. 2. Prove triangles congruent by using SSS, SAS, ASA, ...Unit 4 Congruent Triangles Homework 4 Congruent Triangles Answers Gina Wilson | Best Writing Service. Definitely! It's not a matter of "yes you can", but a matter of "yes, you should". Chatting with professional paper writers through a one-on-one encrypted chat allows them to express their views on how the assignment should turn out and share ...decide if the triangles are congruent by one of the four postulates/theorems c.) write the congruence statement. If not possible, write that and give a brief ...Unit 4: Congruent Triangles. Flashcards. Learn. Test. Match. ... Method to prove triangles congruent when two angles and the included side of one triangle are ...Unit 4 Congruent Triangles Homework 5 Proving Triangles - Displaying top 8 worksheets found for this concept.When the triangles have an angle or side in common 6. Definition of a Midpoint Results in two segments being congruent 2. Vertical Angles are Congruent When two lines are intersecting 7. Definition of an angle bisector Results in two angles being congruent 3. Right Angles are Congruent When you are given right triangles and/or a square ...Nessa proved that these triangles are congruent using ASA. Roberto proved that they are congruent using AAS. Which statement and reason would be included in Roberto's proof that was not included in Nessa's proof? Given: B ≅ N; BC ≅ NM; C is right; M is right. Prove: ABC ≅ QNM. Click the card to flip 👆. A ≅ Q because of the third ...Geometry Unit 4 Study Guide quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Congruent Triangles 4.6K plays 9th ...4.8/5. Dan . Unit 4 Congruent Triangles Homework 7 Proofs Review All Methods Answer Key Gina Wilson, Esl Analysis Essay Writer Service Gb, Resume And Sap Mdm And Abap, Creative Writing Colleges New York, How To Start An Essay About The Great Gatsby, Monkey's Paw Theme Essay, Training And Development Case Study Examples ...Geometry Unit 4 Vocabulary. Triangle Congruence. Congruence ... SSS Congruence Theorem -Triangles are congruent if all three sides in one triangle are.Quiz 1: congruent triangles. Pedigree Chart Worksheet. Weeks 11-15 | English 10. g r r)+g(r) and (f g)(r)= f (r)g(r) discrete math. A perfect number is a natural number that is equal to the sum of its factors, excluding the number itself, Determine whether or not each number is perfect. Verified answer.Unit 4 Congruent Triangles Homework 2 Angles Of Triangles Answer Key. This profile significantly reduces distractions, to help people with ADHD and Neurodevelopmental disorders browse, read, and focus on the essential elements of the website more easily. This profile adjusts the website to be compatible with screen-readers such as JAWS, NVDA ...Unit 4 Congruent Triangles quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free!Mar 16, 2023 · Watch the full walk through explanation on Numerade! https://www.numerade.com/ask/question/unit-4-homework-2-gina-wilson-all-things-algebra-pls-help-name-uni... Unit 4- Congruent Triangles ... 19 cards Geometry College Geometry Practice all cards Acute triangles 3 acute angles Obtuse triangle 1 obtuse angle Right triangle 1 right angle Equal angular 3 congruent angles Equilateral 3 congruent sides Isosceles 2 congruent sides Scalene No congruent sides Triangle angle sum theoremUnit 3: Parallel & Perpendicular Lines Unit 4: Congruent Triangles • Parallel Lines & Transversals • Angles & Parallel Lines • Proving Lines are Parallel • 0Slope Review • Parallel vs. Perpendicular • Equations of Lines (including Slope-Intercept, Standard Form, and Point-Slope Form) • Classifying TrianglesA closed polygon made of three line segments forming three angles is known as a Triangle. Two triangles are said to be congruent if their sides have the same length and angles have same measure. Thus, two triangles can be superimposed side to side and angle to angle. In the above figure, Δ ABC and Δ PQR are congruent triangles.Use similar triangles. CCSS.Math: HSG.SRT.B.5. Google Classroom. You might need: Calculator. In the diagram below, D R → is perpendicular to O P ― . P O A U D R M 4.5 4.0 10.0 3.75. Find the area of D U O . If entering your answer as a decimal, round your final answer to the nearest hundredth. square units.Write three valid congruency statements given the triangles below. a) b) W c) Directions: Given the congruency statement, list all congruent angles and sides. 2. AABE = AMNP 3. AQRY = AJLS Angles Sides Angles Sides Write another valid congruency statement: Write another valid congruency statement: 4. Given ASTU AKLM, complete each of the ...01. Edit your gina wilson all things algebra congruent triangles online. Type text, add images, blackout confidential details, add comments, highlights and more. 02. Sign it in a few clicks. Draw your signature, type it, upload its image, or use your mobile device as a signature pad. 03. Unit 4 Congruent Triangles Homework 3. Level: University, College, Master's, High School, PHD, Undergraduate, Entry, Professional. Just sign up (it takes only 3 seconds) and fill out a short order form describing what type of work you need done. From a high school essay to university term paper or even a PHD thesis.Unit 4 Congruent Triangles Homework 5 Proving Triangles Congruent Sss And Sas. A professional essay writing service is an instrument for a student who's pressed for time or who doesn't speak English as a first language. However, in 2022 native English-speaking students in the U.S. become to use essay help more and more.Professional authors can write an essay in 3 hours, if there is a certain volume, but it must be borne in mind that with such a service the price will be the highest. The cheapest estimate is the work that needs to be done in 14 days. Then 275 words will cost you $ 10, while 3 hours will cost you $ 50. Please, take into consideration that VAT ...©3 a2V0r1 M19 3KUuVtmao vS roufktSw ka XrweX 0LmL0Cz.u o 5A MlclB tr Lijgnh 6t5s t Prje 1sQeArfv de Xda.A 9 uM UaDd0e4 3w 6iat 4hH qI0n 1fZi jn ji et LeI OGve Bocm de Et9r IyW.u Worksheet by Kuta Software LLCQuiz 1: congruent triangles. Pedigree Chart Worksheet. Weeks 11-15 | English 10. g r r)+g(r) and (f g)(r)= f (r)g(r) discrete math. A perfect number is a natural number that is equal to the sum of its factors, excluding the number itself, Determine whether or not each number is perfect. Verified answer.There's no other one place to put this third side. So SAS-- and sometimes, it's once again called a postulate, an axiom, or if it's kind of proven, sometimes is called a theorem-- this does imply that the two triangles are congruent. So we will give ourselves this tool in our tool kit. We had the SSS postulate.A hypotenuse and a leg define congruence. parts are congruent. A segment from a vertex perpendicular to the opposite side. The two angles that include the base of an isosceles triangle. The third, unequal side of an isosceles triangle. A segment from a vertex to the midpoint of the opposite side.Unit 4 Review Congruent Triangles 1. Name all the pairs of corresponding angles. _____ 2. Name all the pairs of vertical angles. ... prove the triangles congruent. Given: ∠B ≅ ∠Y and AB̅̅̅̅≅XY̅̅̅̅ Prove: ∆ABC ≅ ∆XYZ using the AAS Postulate 18.Evergrow, a stealth climate fintech startup, just landed over $7 million in seed funding. With a two-pronged approach, Evergrow aims to be the world’s first dedicated carbon offtake company — rapidly funding climate developer projects and i...Unit 4 Congruent Triangles Homework 4 Answer Key, Esl University Essay Writers Website, Cover Letter Examples For Inexperienced, Oracle Architect Resume Nebraska, Blanchard Importing And Distributing Case Study, Postgraduate Application Thesis Statement, Should I Mention Career Change In Cover LetterUnit 4 Congruent Triangles Homework 5 Proving Triangles Congruent Sss And Sas. A professional essay writing service is an instrument for a student who's pressed for time or who doesn't speak English as a first language. However, in 2022 native English-speaking students in the U.S. become to use essay help more and more.Congruent Triangles Unit Test Answers. (4) angle a is to angle d. Unit 6 triangle congruence target 6.1: (2) line segment bc is to line segment ef. (1) Line Segment Ab Is To Line Segment De. Prove triangle congruence get 3 of 4 questions to level up! (6) angle c is to angle f. Notice that each one of these properties makes common sense.Name: Unit 4: Congruent Triangles Date: Bell: Homework 5: Proving Triangles Congruent: SSS & SAS ** This is a 2-page document! ** State whether the triangles could be proven. Q&A. Unit4: Congruent Triangles Hw 5: Proving Triangles Congruent: SSS & SAS (All things algebra) 2014. Q&A.Unit 4 Congruent Triangles Homework 3 Isosceles, Help On Writing A Thesis Statement, How To Write To A Different Url In Perl Cgi, Written Book Reports, Creative Writing And Media Cardiff Met, Scholarship Essay 300 Word Sampel, Harvard University Uses Nigeria As A Case Study Of A Failed African CountryDOWNLOAD UNIT 4 CONGRUENT TRIANGLES HOMEWORK 1 CLASSIFYING TRIANGLES AND GET THE ANSWERS. Whether you’re a self-starter who likes the autonomy of the course or need the guidance of an expert instructor, we have you covered. We make sure to provide you with key learning materials that align with your …Math Geometry Unit 4 Congruent Triangles Study Guide scalene triangle Click the card to flip 👆 a triangle with no congruent sides Click the card to flip 👆 1 / 24 Flashcards Learn Test Match Q-Chat Created by John_DellAnno Terms in this set (24) scalene triangle a triangle with no congruent sides isosceles triangleTopic: Unit 4 Congruent Triangles Homework 5 Answers Homework 2 Solutions For Congruent Triangles Angles From Unit 4 Lesson 3 Geometry 2 Get Other Questions On The Subject Carmine Creason Unit 4 Congruent Triangles Homework 1 Classifying Triangles Answer Key: Content: Explanation: File Format: DOC: File size: 1.8mb: Number of Pages: 40+ pagesRight Triangle. a triangle with one 90 degree angle. Obtuse Triangle. A triangle with one angle that is greater than 90 degrees. Equiangular Triangle. A triangle where all the angles are congruent. Equilateral Triangle. A triangle with three congruent sides. Lesson 4.2 Vocabulary.Beranda unit 4 congruent triangles homework 5 answers : congruent triangles homework with key page 1 of 4 answers chapter 4 triangle congruence lesson 4 3 congruent triangles file f holt geometry chapter 4 course hero - the congruent triangles shortcuts sss, sas, asa, aas and hl, why ssa and aaa don't work as congruence …Unit 4 Congruent Triangles Homework 3 Answer Key, A Good Resume Cover Letter, Building A Resume 2011, Quartier Perdu Resume, Nader Behdad Dissertation, Best Blog Post Ghostwriter For Hire Uk, Resume Network Developer 10 question spreadsheets are priced at just .39! Along with your finished paper, our essay writers provide detailed calculations ...SAS Postulate (Side-Angle-Side) If two sides and the included angle of one triangle are congruent to the corresponding. parts of another triangle, then the triangles are congruent. A key component of this postulate (that is easy to get mistaken) is that the angle. must be formed by the two pairs of congruent, corresponding sides of the triangles.The congruence of corresponding parts justifies that the vertices of the triangles will line up exactly. One of the most common ways to line up the vertices is through a translation to get one pair of vertices to line up, followed by a rotation to get a second pair of vertices to line up, and if needed, a reflection to get the third pair of ...Unit 4 Congruent Triangles Homework 1 Classifying Triangles Worksheet Answers. 954. Customer Reviews. 100% Success rate. 100% Success rate. Direct communication with a writer. Our writers always follow the customers' requirements very carefully. 100%.Unit 4 Congruent Triangles Homework 1 Answers. Use our user-friendly form to place your order. Please remember that your e-mail is both your login to use while accessing our website and your personal lifetime discount code. Interested writers will start bidding on your order. View their profiles, check clients' feedback and choose one ...HOME ABOUT Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6. Grade 10 Math Scroll. Unit 4: Similarity & Congruency . QUICK LINKS TO TOPICS ... Congruent Triangles. Similar ...Determine congruent triangles Get 5 of 7 questions to level up! Prove triangle congruence Get 3 of 4 questions to level up! ... Level up on all the skills in this unit and collect up to 1000 Mastery points! Start Unit test. Our mission is to provide a free, world-class education to anyone, anywhere.Pg. 228 #3-17 Yes No Section 4.3/4.4 : I can use the SSS, SAS, and HL to prove triangles are congruent. Worksheet 4.3/4.4 Yes No Unit 4 Quiz Section 4.5: I can use ASA and AAS to prove triangles are congruent. Worksheet 4.5 Yes No Section 4.6: I can use congruent triangles to prove corresponding parts are congruent.Name: Date: UNIT 4-CONGRUENT TRIANGLES Period: LESSON 5: PROVING TRIANGLES CONGRUENT USING SSS AND SAS PRACTICE Use the diagram to namo tho includod anglo botwoon tho givon pair of sides. 1. in and m Z neoc 2. CC c 3..üandBD 4. jibandiVA Z State whether the triangles can be proven congruent. If yes, state your reasoning and then write a ...Unit 4 Congruent Triangles Homework 1, Dissertation Eng Nl, How To Write Entry Level Cover Letter, Dissertation Binding Services Fast, Top Persuasive Essay On Founding Fathers, Business Plan Mercedes, Case Study In Nursing Journal 4.9/5 ...Unit 4: Congruent Triangles. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. rebeccaduong. Terms in this set (23) all corresponding sides and angles are congruent . congruent polygons •3 acute angles •Each angle is more than 0, less than 90. acute •3 equal angles •each angle is 60. equiangular •1 right angle (90) right •1 …Unit 4 Congruent Triangles Homework 7 Answers, Essay About Airlines Industries, Essay February Revolution, Homework Ghostwriter Websites Usa, Effective Self Assessment Performance Reviews, Laws Of Life Essay Contest Connecticut, Both career and academic students should find this topic absolutely interesting. With these easy to read and ...State if the two triangles are congruent. If they are, state how you know. APPLICATION . Prove the following. Start by marking the picture and determining why the triangles are congruent. ... ANSWERS TO UNIT 4 CORRECTIVE ASSIGNMENT . 5) x = 7 6) x = 8 and -6 7) x = -9 and 4 . 35) Given: 𝑽𝑿 bisects 𝒁𝑾 ...Unit 4 Congruent Triangles Homework 3 Answer Key. Yes, we accept all credit and debit cards, as well as PayPal payments. Research papers can be complex, so best to give our essay writing service a bit more time on this one. Luckily, a longer paper means you get a bigger discount!Geometry Unit 4 Test Study Guide Properties of Triangles 1. #2 and #3: Find the measure of each missing. Upload to Study. Expert Help. Study Resources. ... Name: Unit 4: Congruent Triangles Date: Bell: Homework 5: Proving Triangles Congruent: SSS & SAS ** This is a 2-page document! ** State whether the triangles could be provenAs far as I am aware, Pira's terminology is incorrect. The three types of triangles are Equilateral for all sides being equal length, Isosceles triangle for two sides being the same length and Scalene triangle for no sides being equal. Also, depending on the angles in a triangle, there are also obtuse, acute, and right triangle.Terms in this set (35) Five ways to prove 2 triangles are congruent. SAS, ASA, AAS, SSS and HL. Reflexive Property. Used when the triangles share a side or an angle. Vertical Angles. Angles that are across from each other and are congruent. Midpoint. Forms 2 congruent segments.An extra line or segment that helps with a proof. Define Legs. (the geometric definition) One of a triangle's sides. In a right triangle, it typically refers to a side that is not the hypotenuse. Define Vertex Angle. The angle at the vertex, sometimes the highest angle on a diagram, with the lower 2 being base angles.Unit 4 Congruent Triangles Homework 1 Classifying Triangles All Things Algebra, How To Write On Apollos Templates, Esl College Analysis Essay Sample, How Long Should A Major Essay Be, Dissertation Allo Prof, Sample Cover Letter For Resume Education, Resume Formats OutlinesGet Professional Writing Services Today! Get a free quote from our professional essay writing service and an idea of how much the paper will cost before it even begins. If the price is satisfactory, accept the bid and watch your concerns slowly fade away! Our team will make sure that staying up until 4 am becomes a thing of the past.View Kami Export - Unit 4 - Congruent Triangles Proofs (SSS and SAS) HW (1).pdf from MATH 4010 at The University of Tennessee, Chattanooga. Name: _ Unit: Congruent Triangles Date: _ Per: _ Homework. Upload to Study. Expert Help. Study Resources. Log in Join. Kami Export - Unit 4 - Congruent Triangles Proofs SSS and SAS HW 1 .pdf . …About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...6 cm cm 6 cm 6 cm query 2 determine congruent triangles utilizing the 4 assessments a) write down the 4 assessments for 2. Quadrilaterals unit 4 evaluation reply keys unit 4 quiz model a key unit 4 quiz model b key 4.1: Supply: villardigital.com. Identify the idea, if attainable, that makes the triangles congruent. X 5 15, y 5 38 3.Geometry Unit 4 Bundle - Congruent Isosceles Equilateral Triangles (18 days) This is a unit plan bundle for a Geometry class. The plans include common core math standards, time frame, activities, enduring understandings, essential questions, and resources used. It is designed to last 18 days, depending on pacing.Course: High school geometry > Unit 3. Lesson 3: Congruent triangles. Triangle congruence postulates/criteria. Determining congruent triangles. Calculating angle measures to verify congruence. Determine congruent triangles. Corresponding parts of congruent triangles are congruent. Proving triangle congruence. Prove triangle congruence.Geometry Unit 4 Vocabulary. Triangle Congruence. Congruence ... SSS Congruence Theorem -Triangles are congruent if all three sides in one triangle are.A segment from a vertex perpendicular to the opposite side. The two angles that include the base of an isosceles triangle. The third, unequal side of an isosceles triangle. A segment from a vertex to the midpoint of the opposite side. a point in which the three altitudes of the triangle intersect. It is possible for the orthocenter to occur on ...Unformatted text preview: Name: Date: Bell: Unit 4: Congruent Triangles Homework 7: Proofs Review: All Methods ** This is a 2-page document! ** 1. Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or …A triangle that has three acute angles. Obtuse Triangle. A triangle with one angle that measures greater than 90 degrees. Right Triangle. A triangle that has one angle whose measure is exactly 90 degrees. Equiangular Triangle. A triangle whose angles are all congruent. Scalene Triangle. A triangle that has no congruent sides.Geometry Unit 4-Congruent Triangles - Flashcards 🎓 Get access to high-quality and unique 50 000 college essay examples and more than 100 000 flashcards and test answers from around the world! ... If TWO ANGLES and a NON-INCLUDED SIDE of one triangle are congruent to two angles and the corresponding NON-INCLUDED SIDE of a second triangle ...Name: _____ Period: _____ Date: _____ UNIT 4 – Congruent Triangles TEST Copyright © GeometryCoach.com Page A triangle that has three acute angles. Obtuse Triangle. A triangle with one angle that measures greater than 90 degrees. Right Triangle. A triangle that has one angle whose measure is exactly 90 degrees. Equiangular Triangle. A triangle whose angles are all congruent. Scalene Triangle. A triangle that has no congruent sides.Unit 4 homework 4 congruent triangles answer key — villar, Unit 4 Congruence in Triangles In this unit, we will learn about the different type, Unit 4 Congruent Triangles Homework 1 Classifying Triangles Answers Gina Wilson, Argumentative E, The angle formed by two adjacent sides of a polygon. Included side. The common side o, Study this incomplete image of a geometric construction. This image may result from the construction , Unit 4 Congruent Triangles Homework 6 Proving Triangles Congruent, How Mobile Phones Changed Our L, Geometry Unit 4 Study Guide quiz for 9th grade students. Find other quizzes for Mathemat, Reply key.the sss rule states that: Unit 4 (congruent, Lesson Videos: Apply Congruence and Triangles: Video , Unit 4 : Congruent Triangle. Flashcards. Learn. Test. Match. Fl, The Triangle of Life Myth - The triangle of life my, The Triangles Quilt Border Pattern is both versatile and elegant, Geometry 1 Unit 4Congruent Triangles Casa Grande Union High Sc, Unit test. Learn for free about math, art, computer programming, Unit 4. Linear equations in two variables. Unit 5. Lines and angles. U, Unit 4 Congruent Triangles Homework 7, Topics About Research Prop, Geometry (SCPS pilot: textbook aligned) 13 units · 185 , Geometry Unit 4 Congruent Triangles Homework 1 Classifying Triangles .