TODAY IN GEOMETRY…  REVIEW: SSS, SAS, HL, ASA, AAS  WARM UP: PROOF-A-RAMA 1  Learning Goal: 4.6 Use CPCTC to prove congruent parts of a triangle  Independent.

Slides:

Advertisements

Similar presentations

Proving Triangles Congruent

Advertisements

Proving Triangles Congruent

CCGPS Analytic Geometry

3.8 The HL Postulate Objective:

1 MM1G3c Proving Triangles Congruent (AAS, HL). 2 Postulates AAS If two angles and a non included side of one triangle are congruent to the corresponding.

6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.

4-4 & 4-5: Tests for Congruent Triangles

Corresponding Parts of Congruent Triangles Lesson 4-4.

GOAL 1 PLANNING A PROOF EXAMPLE Using Congruent Triangles By definition, we know that corresponding parts of congruent triangles are congruent. So.

Congruent Triangles – Pairs of Triangles Page 11.

6.3 Congruent Triangles: SSS and SAS

TODAY IN GEOMETRY…  Review: Finding congruent angles and sides and proving triangles are congruent.  Learning Goal: 4.6 Use CPCTC to prove congruent.

TODAY IN GEOMETRY…  Review for CH. 4 QUIZ  CH. 4 QUIZ – TODAY!  Learning Goal: 4.3 You will use the side lengths to prove triangles are congruent. 

ADVANCED GEOMETRY 3.1/2 What are Congruent Figures? / Three ways to prove Triangles Congruent. Learner Objective: I will identify the corresponding congruent.

Module 5 Lesson 2 – Part 2 Writing Proofs

TODAY IN GEOMETRY…  Learning Target: PROOF-A-RAMA Work in groups to prove triangles are congruent  Independent practice.

TODAY IN GEOMETRY… REVIEW: Solutions for PROOF-A-RAMA 2

Proving Triangles Congruent. Warm Up Objectives Can you prove triangles congruent using SSS, SAS, ASA, AAS, and HL?

TODAY IN GEOMETRY…  Go over proofs from HW #5  4.4 WS Warm Up  Learning Goal: 4.5 You will use postulates Angle-Side-Angle and Angle-Angle-Side to prove.

TODAY IN GEOMETRY…  STATs for CH. 4 Quiz  Learning Goal: 4.4 You will use postulates Side-Angle-Side and Hypotenuse-Leg to prove triangles are congruent.

Lesson: 9 – 3 Similar Triangles

Proving Triangles Congruent. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles,

Warm up. 4.3 Analyzing Triangle Congruence Two new shortcuts: AAS HL.

Unit 4 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)

Unit 2 Part 4 Proving Triangles Congruent. Angle – Side – Angle Postulate If two angles and the included side of a triangle are congruent to two angles.

1Geometry Lesson: Pairs of Triangles in Proofs Aim: How do we use two pairs of congruent triangles in proofs? Do Now: A D R L B P K M.

POINTS, LINES AND PLANES Learning Target 5D I can read and write two column proofs involving Triangle Congruence. Geometry 5-3, 5-5 & 5-6 Proving Triangles.

Triangle Similarity Keystone Geometry. 2 Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding.

4.4 Isosceles Triangles, Corollaries, & CPCTC. ♥Has at least 2 congruent sides. ♥The angles opposite the congruent sides are congruent ♥Converse is also.

Δ CAT is congruent to Δ DOG. Write the three congruence statements for their SIDES

Unit 7 Congruency and Similarity Proving Triangles Congruent (SSS, SAS, ASA, AAS, and HL)

By Shelby Smith and Nellie Diaz. Section 8-1 SSS and SAS  If three sides of one triangle are congruent to three sides of another triangle, then the triangles.

Geometry - Unit 4 $100 Congruent Polygons Congruent Triangles Angle Measures Proofs $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.

TODAY IN GEOMETRY…  Warm Up: Parallel Lines WS  Learning Goal 2: 3.3 Use Converse of Angle Theorems to prove lines are parallel.  Independent Practice.

Advanced Geometry 3.3. Objective To write proofs involving congruent triangles and CPCTC.

8.2 CPCTC Geometry.

Geometry Worksheets Congruent Triangles #3.

4-4 Using Corresponding Parts of Congruent Triangles I can determine whether corresponding parts of triangles are congruent. I can write a two column proof.

Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.

Prove triangles congruent by ASA and AAS

Geometry-Part 7.

Using Triangle Congruence to Prove Sides and Angles Congruent C h. 5-2

Aim: How do we prove triangles congruent using the Angle-Angle-Side Theorem? Do Now: In each case, which postulate can be used to prove the triangles congruent?

Other Methods of Proving Triangles Congruent

Proving Triangles Congruent

Proving Triangles Congruent

Warm Up (on the ChromeBook cart)

4-4 and 4-5: Congruent Triangle Theorems

More Proving Triangles Congruent

Two-Column Triangle Proofs

3.5 Overlapping Triangles

4.4 Proving Triangles are Congruent by ASA and AAS

4.5 ASA and AAS Ways to prove 2 triangles congruent:

Warm up Solve  x 4x – 20 2. 42 2y + 28 3y – 14°

Warm Up (on handout).

Aim: Do Now: ( ) A B C D E Ans: S.A.S. Postulate Ans: Ans:

4-7 & 10-3 Proofs: Medians Altitudes Angle Bisectors Perpendicular

Proving Triangles Congruent

Learn to use the ASA and AAS tests for congruence.

Postulates and Theorems to show Congruence SSS: Side-Side-Side

Ex: Given: Prove: CPCTC:

Triangle Congruence Obj: learn all the ways to prove triangles are congruent To Identify- SSS, AAS, SAS, or ASA.

Warm up Solve  x 4x – 20 2. 42 2y + 28 3y – 14°

Chapter 5: Quadrilaterals

Warm Up 7.4 Is there enough information to prove that the triangles are congruent? If so, state the reason (SSS, SAS, HL, ASA,

4-4/4-5 Proving Triangles Congruent

There are 5 ways to prove triangles congruent.

Advanced Geometry Section 3.8 The HL Postulate

Presentation transcript:

TODAY IN GEOMETRY…  REVIEW: SSS, SAS, HL, ASA, AAS  WARM UP: PROOF-A-RAMA 1  Learning Goal: 4.6 Use CPCTC to prove congruent parts of a triangle  Independent practice  AT: PROOF-A-RAMA 1 must be turned in!

PRACTICE: Find all 6 corresponding parts

PRACTICE: Which postulate would you use to state that the triangles are congruent. Then tell which triangles are congruent. ORDER MATTERS: When writing congruent triangles, make sure all angles and sides correspond!

CPCTC: Corresponding parts of congruent triangles are congruent.

Using CPCTC in proofs: We use CPCTC to prove that parts of a triangle are congruent. We MUST PROVE TRIANGLES ARE CONGRUENT FIRST!

1.USE one postulate to prove triangles are congruent. 2.What other information do I need? 3.What are the congruent triangles? 4.Use CPCTC

STATEMENT REASON 1. Given 2. Reflexive Property 3. AAS 4. CPCTC *we’re proving congruent sides!!!!-use CPCTC

STATEMENT REASON 1. Given 2. Definition of bisector 4. SAS 5. CPCTC 3. Reflexive Property *we’re proving congruent sides!!!!-use CPCTC

HOMEWORK #7: Pg. 259: 3-8, 10, 11, 21 If finished, work on other assignments: HW #1: 221: 1-26, 32, HW #2: Pg. 228: 3-10, 15-16, Pg. 231: HW #3: Pg. 236: 5, 7, 9-12, 24, 26 (Graph paper needed) HW #4: Pg. 243: 3-15, 20-22, 25-27, HW #5: Pg. 252: 3-5, 8-13, 18-20, 33, 34, HW #6: Proof-A-Rama 1