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Chapter 4.6 Notes: Use Congruent Triangles . Goal: You will use congruent triangles to prove that corresponding parts are congruent. Properties of Congruent Triangles A D

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chapter 4 6 notes use congruent triangles

Chapter 4.6 Notes: Use Congruent Triangles

Goal: You will use congruent triangles to prove that corresponding parts are congruent.

slide2

Properties of Congruent Triangles

A D

B C E F

What pairs of angles and sides are congruent? ____________________________________________________________________________________

slide3

Using CPCTC:

  • Once you know that triangles are congruent, you can make conclusions about corresponding sides and angles because Corresponding Parts of Congruent Triangles are Congruent (CPCTC).

Ex.1: Suppose you know that by SAS. Which additional pairs of sides and angles are congruent by CPCTC? A B

1 2

D 4 C

slide4

Ex.2: Explain how you can prove that

Ex.3: Complete the proof.

Given:

Prove: A D

1 2

C

B E

slide5

Ex.4: Complete the proof.

Given: bisects

Prove:

F

K G

H

slide8

Ex.7: Complete the proof.

Given:

Prove:

O

N P

M Q