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Using Congruent Triangles - CPCTC

- Math 2 - Lesson 22
- Mr. Lopez

__ _O_ __ O W ! (Wheel of fortune Action)

C

A

- Given AB ? BD
- BD ? CD
- AD CB
- Prove ?AEB ?CED

E

D

B

Using Congruent Triangles

- Once you have a pair of congruent triangles , you

can make conclusions about their other parts

because, by definition, corresponding parts of

congruent triangles are congruent. - OR
- CPCTC!!

How to use CPCTC

- Ex 1
- Given E is the midpoint of CD and AB.
- Prove ? ?D ?C

A

C

E

D

B

How to use CPCTC

- Since we are not asked to prove triangles are

congruent in this proof, you MUST still prove

they are congruent to prove that their parts are

congruent.

Statements

Reasons

E is the midpoint of CD and AB CE ED AE

EB ?AEC ? BEC ?AEC ?BEC ?D ?C

Given ----- Def of

midpoint Vertical Angles SAS CPCTC

How to use CPCTC

- Now that the two triangles are congruent, you

conclude the proof by saying what is you want to

prove is congruent by CPCTC. - ?D ?C by CPCTC

Apply CPCTC

- Ex 2
- Given AD ? BC
- AB ? DC
- Prove ???A ?C

A

D

B

C

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