4-4 skills practice proving triangles congruent

This chapter focuses on proving triangle congruence theorems and using the theorems to determine whether triangles ... two triangles are congruent. XX 5.4 Side-Angle-Side Congruence Theorem G.CO.6 G.CO.7 G.CO.8 G.CO.10 ... 333C Chapter 5 Congruence Through Transformations 5 Skills Practice Correlation for Chapter 5 Lesson Problem …

Proving Triangles Congruent Using ASA or AAS. Geometry Skills Practice. 1. Given the two triangles shown, determine if they are congruent using AAS or ASA theorem of congruency. Answers: In the ...Homework Sheets. Determine which proof helps you explain the given information. Homework 1 - Side-Side-Side Postulate (SSS) – If three sides of a triangle are congruent to three sides of another triangle, the triangles are congruent. Homework 2 - Side-Angle-Side Postulate (SAS) – If two sides and the included angle of a triangle are ...These Triangles & Congruence Editable Quizzes include 2 different quizzes.1st Quiz covers: classifying triangles triangle sum theoremexterior angle theoremidentifying SSS or SAS or not congruent1 proof using SAS2 pages, 15 problems + 1 proof2nd Quiz covers: Identifying SSS, SAS, AAS, ASA, or not congruent3 proofs using various triangle ...• Lesson 4-1 Classify triangles. • Lesson 4-2 Apply the Angle Sum Theorem and the Exterior Angle Theorem. • Lesson 4-3 Identify corresponding parts of congruent triangles. • Lessons 4-4 and 4-5 Test for triangle congruence using SSS, SAS, ASA, and AAS. • Lesson 4-6 Use properties of isosceles and equilateral triangles. • Lesson 4-7 ... Angles. Triangles. Medians of triangles. Altitudes of triangles. Angle bisectors. Circles. Free Geometry worksheets created with Infinite Geometry. Printable in convenient PDF format.The Proving Congruence: Triangles Worksheet Answers for Practice can help you understand the concept of congruence and practice solving triangle problems. The worksheet consists of a number of questions with different scenarios. You need to identify which method of proving congruence (SSS, SAS, or ASA) is appropriate for …In today’s digital age, computer typing skills have become essential for both kids and adults. One of the most effective ways to engage kids in computer typing practice is through interactive typing games.

Learn how to solve problems involving the Pythagorean theorem and its converse with this answer key. This pdf file provides detailed explanations and examples for each exercise in the 4.4 - 4.8 sections of the textbook. Geometry Skills Practice. 1. If the two triangles are congruent, determine the congruency using SAS theorem of congruence. 2. If the two triangles are congruent, determine the congruency using SAS ...In geometric art, carpet designs, stepping stone patterns, and architectural designs, congruent triangles are also often used. 3. The two most prevalent examples of this could be: Truss Bridge: Equilateral triangles are used to create truss bridges on both sides. All these triangles all meet the SSS congruence criteria, which states that if the ...233. Share. Save. 42K views 7 years ago. Need a custom math course? Visit https://www.MathHelp.com . This lesson covers proving triangles are congruent. …2.1: The Congruence Statement. Two triangles are said to be congruent if one can be placed over the other so that they coincide (fit together). This means that congruent triangles are exact copies of each other and when fitted together the sides and angles which coincide, called corresponding sides and angles, are equal.

The triangles will be congruent if the conditions of the ASA Congruence Postulate or of the AAS Congruence Theorem are met. We know that formula of the area of an isosceles …4 3 skills practice congruent triangles worksheet answers. Where to download practice 4 2 triangle congruence by sss and sas worksheet answers exploring mathematics iii tm' 2003 ed. ... 4 4 practice proving triangles congruent sss sas answer key theloveliestdesigns.blogspot.com. Compare the triangles and determine whether …Are you looking to improve your typing speed and accuracy? Look no further. With the advent of technology, there are numerous online resources available that offer free typing test practice. These resources can help you enhance your typing ...Oct 21, 2023 · The triangles can be proven congruent by AAS. The figure below shows two triangles. Which statement about the triangles is true? ∆TSU ≅ ∆RUS. AND. ∆UST ≅ ∆SUR. Which congruence statements can you write about the triangles in the previous question? The triangles can be proven congruent by AAS.

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Proving Triangles Similar 382 Chapter 7 Similarity Lessons 4-2 and 4-3 Name the postulate or theorem you can use to prove the triangles congruent. 1. 2. 3. ... Extra Skills, Word Problems, Proof Practice, Ch. 4 PowerPoint Special Needs Have students use mirrors and tape measures to4-4 Skills Practice - Mrs. Foy's Classroom EN English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian Lithuanian český русский български العربية UnknownProving triangle congruence. Prove triangle congruence. Triangle congruence review. Math > High school geometry > Congruence > Congruent triangles ... Search for courses, skills, and videos. Help us do more. We'll get right to the point: we're asking you to help …For similar triangles A B C and X Y Z shown below: X Y = k ( A B) Y Z = k ( B C) X Z = k ( A C) X Y A B = Y Z B C = X Z A C = k. A B C X Y Z. To calculate a missing side length, we: Write a proportional relationship using two pairs of corresponding sides. Plug in known side lengths. We need to know 3.

Prove: PQS RQS Proof: Statements Reasons 1. ∠P ∠R, ∠PSQ ∠RSQ 1. Given 2. ∠PQS ∠RQS 2. Third Angle Theorem 3. PQ −− RQ −−, PS −− RS −− 3. Given 4. QS −− −− QS 4. Reflexive Property 5. PQS RQS 5. CPCTC 6. QUILTING a. Indicate the triangles that appear to be congruent. b. Name the congruent angles and congruent ...The Proving Congruence: Triangles Worksheet Answers for Practice can help you understand the concept of congruence and practice solving triangle problems. The worksheet consists of a number of questions with different scenarios. You need to identify which method of proving congruence (SSS, SAS, or ASA) is appropriate for …Typing is an essential skill for anyone who works with computers. Whether you’re a student, a professional, or someone who just wants to be more efficient when using their computer, improving your typing speed can be beneficial.4-4 Proving Triangles Congruent-sss Sas Answers. 4-3 Practice Proving Triangles Congruent-sss Sas Answer Key. Lesson 4.4 Practice A Geometry Answers Prove Triangles Congruent By Sss The activity indicates that if two angles and the included side of one triangle are congruent to two angles and the included side of the other triangle, then the triangles are congruent. Skills Practice; Lesson Plans; ... 3:12 Practice Proof; 4:20 Finding Congruence; 5:52 Lesson Summary; Save Timeline ... Proving Triangles Congruent: Explanation & Examples;The BBC show forces participants to practice a skill we've increasingly forgotten in the age of social media: having a civilized debate, face-to-face, in public. Blind dates are one of the most awkward, potentially uncomfortable situations ...4-4 Skills Practice Proving Triangles Congruent—SSS, SAS ... 4-5 Practice Proving Triangles Congruent—ASA, AAS 047_052_GEOHWPC04_890849.indd 52 6/26/08 3:14:33 PM. 212 Chapter 4 Congruent Triangles Proving Triangles are Congruent: SSS and SAS SSS AND SAS CONGRUENCE POSTULATES ... Extra Practice to help you master skills is on p. 809. STUDENT HELP STUDENT HELP HOMEWORK HELP Example 1: Exs. 18, 20–28 Example 2: Exs. 19–28 Example 3: Exs. 12–17Recommendations. Skill plans. IXL plans. Textbooks. Test prep. Awards. Improve your math knowledge with free questions in "Proving triangles congruent by ASA and AAS" and thousands of other math skills.

Test prep Geometry L.4 Proving triangles congruent by ASA and AAS 23Z Share skill Learn with an example or Watch a video Questions answered 0 Time elapsed SmartScore out of 100 IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade.

Integrated math 1 18 units · 200 skills. Unit 1 Algebra foundations. Unit 2 Solving equations & inequalities. Unit 3 Working with units. Unit 4 Linear equations & graphs. Unit 5 Forms of linear equations. Unit 6 Systems of equations. Unit 7 Inequalities (systems & graphs) Unit 8 Functions. These workbooks have been compiled and tested by a team of math experts to increase your child's confidence, enjoyment, and success at school. Fourth Grade Math Made Easy provides practice at all the major topics for Grade 4 with emphasis on multiplication and division of larger numbers. It includes a review of Grade 3 topics and a preview of ...When proving if two triangles are congruent there are five different ways in order to demonstrate by congruent triangle theorems. These five theorems are considered: SSS: Side-Side-Side; three ...that the triangles can be proved congruent by the ASA Postulate. 4 5 Skills Practice Proving Triangles Congruent Answers 4 LESSON 4.5 Skills Practice page 2 Problem Set Calculate the volume of each sphere. Use 3.14 for p. Round decimals to the nearest tenth, if necessary. 1. r 5 7 meters 2. ... information to prove ASA Postulate (Angle-Side-Angle) If two angles and the included side of one triangle are congruent to the corresponding. parts of another triangle, then the triangles are congruent. In a sense, this is basically the opposite of the SAS Postulate. The SAS Postulate. required congruence of two sides and the included angle, whereas the ASA Postulate.hypotenuse and a leg of another right triangle,then the triangles are congruent. yes; SAS yes; SAS Check Skills You’ll Need GO for Help 4-6 235 1. Plan Objectives 1 To prove triangles congruent using the HL Theorem Examples 1 Real-World Connection 2 Using the HL Theorem 3 Using the HL Theorem Math Background The HL Theorem is an example of ...Practice proving congruence. Let's leave the safety of spring training and try our skills with some real major league games. Here is a rectangle, GRIN, with a diagonal from interior right angle G to interior right angle I. Congruent triangles. With just that one diagonal, we know a tremendous amount about our polygon:4-6 Skills Practice DATE Isosceles and Equilateral Triangles Refer to the figure at the right. 1. If AC AD, name two congruent angles. ZACD LCDA 2. If BE BC, name two congruent angles. ZBEC ZBCE 3. If ZEBA ZEAB, name two congruent segments. 4. If ZCED ZCDE, name two congruent segments. CE CD Find each measure. 5. mZABC 60 600 6. mZEDF 70 400 21

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Classwork: 4-2 Skills Practice; Classwork: 4-2 Practice (Back of 108) Notes: Proving Congruence Between Triangles Classwork: 4-3 Skills Practice; Classwork: 4-3 Practice (Back of 111) Warm-Up: Parallel Lines in Shapes #2; Notes: Proving Congruence Between Triangles Handout; Classwork: 4-4 Skills Practice; Classwork: 4-4 Practice (Back of 115 ... Angle Angle Side (AAS) Theorem. If two angles and the nonincluded side of one triangle are congruent to two angles and the nonincluded side of another triangles, then the triangles are congruent. Side Side Angle. SSA does NOT guarantee that the triangles are congruent. Angle Angle Angle. AAA does NOT guarantee that the triangles are …212 Chapter 4 Congruent Triangles Proving Triangles are Congruent: SSS and SAS SSS AND SAS CONGRUENCE POSTULATES ... Extra Practice to help you master skills is on p. 809. STUDENT HELP STUDENT HELP HOMEWORK HELP Example 1: Exs. 18, 20–28 Example 2: Exs. 19–28 Example 3: Exs. 12–1790. CED BAC because all right angles are congruent. IURPWKH0LGSW 7KP ECD ACB because they are vertical angles. Angle -Side -Angle gives us that EHFDXVHFRUUHVSRQGLQJ parts of congruent triangles are congruent. Given: F J, Prove: 62/87,21 Proof: F J and EHFDXVHLWLVJLYHQ FHG JGH because they are alternate interior angles.Proving Congruent Triangles. Download Article. 1. Draw a diagram. A diagram may already be provided, but if one is not, it’s essential to draw one. Try to draw it as accurately as you can. Include all of the given information in your diagram. If two sides or angles are congruent (equal), mark them as such. [2]• Lessons 4-4 and 4-5 Test for triangle congruence using SSS, SAS, ASA, and AAS. • Lesson 4-6 Use properties of isosceles and equilateral triangles. • Lesson 4-7 Write coordinate proofs. Triangles are found everywhere you look. Triangles with the same size and shape can even be found on the tail of a whale. You will learn more about orca ...The methods which are used to prove congruency between two triangles are: SSS Criteria: Side-Side-Side. SAS Criteria: Side-Angle-Side. ASA Criteria: Angle-Side-Angle. AAS Criteria: Angle-Angle-Side. RHS Criteria: Right angle- Hypotenuse-Side. These congruency conditions are explained in detail, below in this article.Proving Triangles Congruent by Definition and Side-Side-Side (SSS) ... to apply deductive and inductive reasoning to hypotheses about two-dimensional objects that build real-world reasoning skills. H: Activity 1 begins with a measured drawing of a triangle built, successively, from side length 7 centimeters, angle measure 40 degrees, side ...4-4 Study Guide and Intervention NAME DATE PERIOD 4-4 Study Guide and Intervention Proving Triangles Congruent—SSS, SAS SSS Postulate You know that two triangles are congruent if corresponding sides are congruent and corresponding angles are congruent. ….

hypotenuse and a leg of another right triangle,then the triangles are congruent. yes; SAS yes; SAS Check Skills You’ll Need GO for Help 4-6 235 1. Plan Objectives 1 To prove triangles congruent using the HL Theorem Examples 1 Real-World Connection 2 Using the HL Theorem 3 Using the HL Theorem Math Background The HL Theorem is an example of ... Triangle Congruence. 2K plays. 9th - 10th. 8 Qs. Congruent Figures. 814 plays. 8th. Triangle Congruence Practice quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free!Chapter 4 26 Glencoe Geometry Study Guide and Intervention (continued) Proving Triangles Congruent—SSS, SAS SAS Postulate Another way to show that two triangles are congruent is to use the Side-Angle-Side (SAS) Postulate. Example For each diagram, determine which pairs of triangles can be proved congruent by the SAS Postulate. a. A …2.1: The Congruence Statement. Two triangles are said to be congruent if one can be placed over the other so that they coincide (fit together). This means that congruent triangles are exact copies of each other and when fitted together the sides and angles which coincide, called corresponding sides and angles, are equal.• Lesson 4-1 Classify triangles. • Lesson 4-2 Apply the Angle Sum Theorem and the Exterior Angle Theorem. • Lesson 4-3 Identify corresponding parts of congruent triangles. • Lessons 4-4 and 4-5 Test for triangle congruence using SSS, SAS, ASA, and AAS. • Lesson 4-6 Use properties of isosceles and equilateral triangles. • Lesson 4-7 ... There are many different ways to get paid to type while working from home today. From freelance posts to data entry, options abound. With the right typing job that fits with your lifestyle, schedule, and skills, enjoy your position while ea...To succeed as a scientist, one needs skills including the ability to apply a broad range of scientific knowledge in practical situations, creativity, research abilities and the flexibility to integrate new scientific information as it becom...Lesson 4-3 Chapter 4 21 Glencoe Geometry 4-3 Show that polygons are congruent by identifying all congruent corresponding parts. Then write a congruence statement. 1. L P J S V T 2. In the figure, ABC FDE. 3. Find the value of x. 36 4. Find the value of y. 48 5. PROOF Write a two-column proof. Given: −−− AB −−− CB , −−− AD − ... 4-5: ASA, AAS, and HL ASA, AAS, and HLI can prove triangles are congruent using I can mark pieces of a triangle congruent given how they are to be proved congruent. 4 7 skills practice triangles and coordinate proof answers. 4 7 skills practice triangles and coordinate proof answers 4 7 skills practice triangles and coordinate proof answers 6.15. hr. min. sec. SmartScore. out of 100. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! 4-4 skills practice proving triangles congruent, Proofs with congruent triangles. Wyzant is IXL's tutoring network and features thousands of tutors who can help with math, writing, science, languages, music, hobbies, and almost anything else you can imagine. For all ages, children to adults. You can prove that triangles are congruent by SSS, SAS, ASA, AAS, or HL., 4.4­4.5 ­ Proving Triangles Congruent.notebook 4 October 23, 2013 Angle­Angle­Side Congruence Theorem (AAS) If two angles and the non­included side of a triangle are congruent to two angles and the non­ included side of another triangle, then the triangles are congruent., (Def. segments) 4-4 Proving 11. Triangles Congruent-SSS, (SSS) SAS x = 3; By CPCTC, ALGEBRA Find the value of the variable that 30. REASONING Determine whether the following yields congruent triangles. Explain. statement is true or false . If true, explain your 28. reasoning., 6.5 prove triangles similar by sss and sas detwilerr 1.8K views•21 slides. Geometry unit 4.5 Mark Ryder 1.3K views•23 slides. Geometry unit 6.4 Mark Ryder 2.9K views•38 slides. Geometry unit 6.6 Mark Ryder 3.3K views•46 slides. Geometry 201 unit 4.4 Mark Ryder 2.1K views•28 slides. Geometry unit 6.5 Mark Ryder 1.2K views•34 slides., This is a double-sided practice page over proving triangles congruent.The student uses the given information, labels the diagram, adds in any additional information such as vertical angles, definition of midpoint or reflexive property and then decides which shortcut (SSS, SAS, ASA, AAS, HL) would prove the two triangles congruent.They use their answer to …, 212 Chapter 4 Congruent Triangles Proving Triangles are Congruent: SSS and SAS SSS AND SAS CONGRUENCE POSTULATES How much do you need to know about two triangles to prove that they are congruent? In Lesson 4.2, you learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent. , Section 4-4: Proving Congruence: SSS, SAS. 4 5 Skills Practice Proving Triangles Congruent Answers The curricular approach aligns the mission, goals, outcomes, and practices of a student affairs division, unit, or other unit that works to educate students beyond the classroom with those of the institution, and organizes intentional and ... , http://bit.ly/tarversub Subscribe to join the best students on the planet!!----Have Instagram? DM me your math problems! http://bit.ly/tarvergramHangout with..., Notes: Proving Congruence Between Triangles Classwork: 4-3 Skills Practice; Classwork: 4-3 Practice (Back of 111) Warm-Up: Parallel Lines in Shapes #2; ... Classwork: Proving Triangles Congruent: SSS, SAS, or AAS Two Column Proof; Notes: Right, Isosceles, and Equilateral Triangles;, Now, with expert-verified solutions from Geometry: Homework Practice Workbook 1st Edition, you’ll learn how to solve your toughest homework problems. Our resource for Geometry: Homework Practice Workbook includes answers to chapter exercises, as well as detailed information to walk you through the process step by step., In this activity students are asked to examine 24 sets of triangles to determine if they are being shown congruent by Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS) or Hypotenuse-Leg (HL). Some figures are a showcasing a single method, while others are multiple methods. After examing each of …, Proving Triangles are Congruent Worksheet. PROVING TRIANGLES ARE CONGRUENT WORKSHEET. Problem 1 : ... Problem 4 : In the diagram given below, prove that ... Sat …, Practice and Applications S R T W M P U V N P D G F E Skill Check Vocabulary Check Guided Practice K J L B A C 5.4 Exercises Extra Practice See p. 683. Example 1: Exs. 10–13, 24, 29–31 Example 2: Ex. 32 Example 3: Exs. 13–24, 29–31 Example 4: Ex. 32 Homework Help J K M L Page 4 of 7, Chapter 4: Congruent Triangles: Apps Videos Practice Now; Lesson 1: Apply Triangle Sum Properties. ... Prove Triangles Congruent by ASA and AAS. apps. videocam. create., Skills Practice; Lesson Plans; ... 3:12 Practice Proof; 4:20 Finding Congruence; 5:52 Lesson Summary; Save Timeline ... Proving Triangles Congruent: Explanation & Examples;, 4 5 Skills Practice Proving Triangles Congruent Answers When people should go to the books stores, search establishment by shop, shelf by shelf, it is truly problematic. This is why we offer the books compilations in this website. It will no question ease you to see guide 4 5 Skills Practice Proving Triangles Congruent Answers as you such as., High school geometry 9 units · 90 skills. Unit 1 Performing transformations. Unit 2 Transformation properties and proofs. Unit 3 Congruence. Unit 4 Similarity. Unit 5 Right triangles & trigonometry. Unit 6 Analytic geometry. Unit 7 Conic sections. Unit 8 Circles., 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. , Bell Ringer Practice Check Skills You’ll Need For intervention, direct students to: Using the SAS and SSS Postulates Lesson 4-2: Example 2 Extra Skills, Word Problems, Proof Practice, Ch. 4 Proving Triangles Congruent Lesson 4-1: Example 4 Extra Skills, Word Problems, Proof Practice, Ch. 4 PowerPoint Special Needs Have students mark congruent ..., Jun 7, 2022 · Proving that two triangles are congruent could simply be accomplished using a full comparison of their three sides and three angles. However, in many cases, congruence can be proved more easily. , Practice, Ch. 4 Proving Triangles Congruent Lesson 4-1: Example 4 Extra Skills, Word Problems, Proof Practice, Ch. 4 PowerPoint Special Needs Have students mark congruent sides and angles as shown to distinguish between AAS and ASA. Below Level Students may substitute specific measures for the, 15. hr. min. sec. SmartScore. out of 100. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! , These Triangles & Congruence Editable Quizzes include 2 different quizzes.1st Quiz covers: classifying triangles triangle sum theoremexterior angle theoremidentifying SSS or SAS or not congruent1 proof using SAS2 pages, 15 problems + 1 proof2nd Quiz covers: Identifying SSS, SAS, AAS, ASA, or not congruent3 proofs using various triangle ..., Proving Triangles Congruent and proofs • Activity ... - Desmos ... Loading..., Triangle Congruence. 2K plays. 9th - 10th. 8 Qs. Congruent Figures. 814 plays. 8th. Triangle Congruence Practice quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free!, Proving Triangles Congruent Using SSS. Geometry Skills Practice. 1. Given the two triangles shown, determine if they are congruent using the SSS theorem of congruence. 2. Given the two triangles ..., A 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., Proving Triangles Congruent by Definition and Side-Side-Side (SSS) ... to apply deductive and inductive reasoning to hypotheses about two-dimensional objects that build real-world reasoning skills. H: Activity 1 begins with a measured drawing of a triangle built, successively, from side length 7 centimeters, angle measure 40 degrees, side ..., Determine congruent triangles Get 5 of 7 questions to level up! Prove triangle congruence Get 3 of 4 questions to level up! Find angles in congruent triangles Get 3 of 4 …, There are basically four congruence rules that proves if two triangles are congruent. But it is necessary to find all six dimensions. Hence, the congruence of triangles can be …, Show triangles are congruent using SSS and SAS. Key Words • proof The Geo-Activity suggests the following postulate. 5.2 Proving Triangles are Congruent: SSS and SAS 2 Open your compass to measure AB&*of TABC . Use this length to construct DE&*so that it is congruent to AB&*. 4 Open your compass to measure BC&*. Use this length to draw an, Lesson 4-3 Chapter 4 21 Glencoe Geometry 4-3 Show that polygons are congruent by identifying all congruent corresponding parts. Then write a congruence statement. 1. L P J S V T 2. In the figure, ABC FDE. 3. Find the value of x. 36 4. Find the value of y. 48 5. PROOF Write a two-column proof. Given: −−− AB −−− CB , −−− AD − ... , 4.4­4.5 ­ Proving Triangles Congruent.notebook 4 October 23, 2013 Angle­Angle­Side Congruence Theorem (AAS) If two angles and the non­included side of a triangle are congruent to two angles and the non­ included side of another triangle, then the triangles are congruent.