# Using Congruent Triangles CPCTC - PowerPoint PPT Presentation

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## Using Congruent Triangles CPCTC

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### Using Congruent Triangles ... have a pair of congruent triangles , you can make conclusions about their other ... How to use CPCTC ... – PowerPoint PPT presentation

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Title: Using Congruent Triangles CPCTC

1
Using Congruent Triangles - CPCTC
• Math 2 - Lesson 22
• Mr. Lopez

2
__ _O_ __ O W ! (Wheel of fortune Action)
C
A
• Given AB ? BD
• BD ? CD
• Prove ?AEB ?CED

E
D
B
3
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!!

4
How to use CPCTC
• Ex 1
• Given E is the midpoint of CD and AB.
• Prove ? ?D ?C

A
C
E
D
B
5
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
6
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

7
Apply CPCTC
• Ex 2