EXAMPLE 1 Use congruent triangles

Slides:

Advertisements

Similar presentations

4-4 Using Congruent Triangles: CPCTC

Advertisements

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

Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.

Use Congruent Triangles

Chapter 4.5 Notes: Prove Triangles Congruent by ASA and AAS Goal: You will use two more methods to prove congruences.

3.4: Using Similar Triangles

EXAMPLE 2 Use congruent triangles for measurement

Triangle Congruence by ASA and AAS Chapter 4 Section 3.

Monday, October 22, 2012 Homework: p. 211 #28-34 even.

4.3 Triangle Congruence by ASA and AAS You can prove that two triangles are congruent without having to show that all corresponding parts are congruent.

Triangles and Lines – Congruent Triangles Congruent triangles are triangles that share equal corresponding parts.

EXAMPLE 3 Write a flow proof In the diagram, CE BD and  CAB CAD. Write a flow proof to show ABE ADE GIVEN CE BD,  CAB CAD PROVE ABE ADE.

9-5 Proving Triangles Congruent by Angle-Angle-Side (AAS) C. N. Colon St. Barnabas HS Geometry HP.

4.6 Prove Triangles Congruent by ASA and AAS

4.8 Use Isosceles and Equilateral Triangles

4-6 Objective: Use Congruent Triangles to Prove Corresponding Parts Congruent.

EXAMPLE 3 Write a flow proof In the diagram, CE BD and  CAB CAD. Write a flow proof to show ABE ADE GIVEN CE BD,  CAB CAD PROVE ABE ADE.

4.5 – Prove Triangles Congruent by ASA and AAS In a polygon, the side connecting the vertices of two angles is the included side. Given two angle measures.

4-3 Triangle Congruence by ASA and AAS. Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles.

4.3 TRIANGLE CONGRUENCE BY ASA AND AAS TO PROVE TRIANGLE CONGRUENCE BY ASA POSTULATE AND AAS THEOREM.

5.6 Proving Triangle Congruence by ASA and AAS. OBJ: Students will be able to use ASA and AAS Congruence Theorems.

ASA AND AAS CONGRUENCE Section 4.5. Angle-Side-Angle (ASA) Congruence Postulate  If two angles and the included side of one triangle are congruent to.

EXAMPLE 1 Use congruent triangles Explain how you can use the given information to prove that the hanglider parts are congruent. SOLUTION GIVEN 1 2, 

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.

Objectives Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent by using ASA, AAS, and HL.

Section 4-3 Proving Triangles Congruent by ASA and AAS.

4.2 Notes SSS and SAS. What can you conclude? Look at the diagram. What can you conclude, if anything? How can you justify your conclusion(s).

Warm Up 1.) Find the measure of the exterior angle.

Tell whether the pair of triangles is congruent or not and why.

Prove triangles congruent by ASA and AAS

Section 4-5 Triangle Congruence AAS, and HL

Suppose that ∆XYZ ∆RST. Complete each statement.

4.6: Triangle congruence ASA, AAS, & HL.

Featuring ASA and AAS (angle-side-angle and angle-angle-side)

5.3 Proving Triangles are congruent:

Other Methods of Proving Triangles Congruent

Lesson 4.7 Objective: To learn how to prove triangles are congruent and general statements using Coordinate Proofs.

Warm Up 6.3 on desk Do daily Quiz 6.2.

Three ways to prove triangles congruent.

4-4 and 4-5: Congruent Triangle Theorems

Prove Triangles Congruent by ASA & AAS

5.6 Proving Triangle Congruence by ASA & AAS

5.7 Using Congruent Triangles

Ways to Prove Triangles Congruent

4.4 Proving Triangles are Congruent by ASA and AAS

7-3 Similar Triangles.

EXAMPLE 1 Use congruent triangles

4-2 Some Ways to Prove Triangles Congruent (p. 122)

Review: Chapter Test 2 CME Geometry.

Similarity, Congruence, & Proofs

Suppose that ∆XYZ ∆RST. Complete each statement.

Triangle Congruence by ASA and AAS

4.2 Triangle Congruence by SSS and SAS

Classify each triangle by its sides.

Get out your Module 4 quiz and

Learn to use the ASA and AAS tests for congruence.

7.2 Two Proof-Oriented Triangle theorems

Tell whether the pair of triangles is congruent or not and why.

5.2 ASA Triangle Congruence

8.2/8.3 Objectives Prove certain triangles are similar by using AA~, SSS~, and SAS~. Use triangle similarity to solve problems.

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Triangle Congruence by ASA and AAS

(AAS) Angle-Angle-Side Congruence Theorem

EXAMPLE 1 Identify congruent angles

5/16/2019 Confidential 4-2 Proving Triangles Congruent OBJECTIVES: -SSS -SAS -ASA.

4.5 Proving Triangles are Congruent: ASA and AAS

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

Chapter 5 Congruent Triangles.

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Presentation transcript:

EXAMPLE 1 Use congruent triangles Explain how you can use the given information to prove that the hanglider parts are congruent. GIVEN 1 2, ∠ RTQ RTS PROVE QT ST

EXAMPLE 2 Use congruent triangles for measurement Use the following method to find the distance across a river, from point N to point P. Surveying Place a stake at K on the near side so that NK NP Find M, the midpoint of NK . Locate the point L so that NK KL and L, P, and M are collinear.

EXAMPLE 2 Use congruent triangles for measurement Explain how this plan allows you to find the distance.

EXAMPLE 3 Plan a proof involving pairs of triangles Use the given information to write a plan for proof. GIVEN 1 2, 3 4 PROVE BCD DCE

GUIDED PRACTICE for Examples 2 and 3 No matter how far apart the strikes at K and M are placed the triangles will be congruent by ASA. Using the information in the diagram at the right, write a plan to prove that PTU UQP.

Daily Homework Quiz Tell which triangles you can show are congruent in order to prove AE = DE. What postulate or theorem would you use? 1.

Daily Homework Quiz Write a plan to prove 1 2. 2.