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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
  • AD CB
  • 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
  • Given AD ? BC
  • AB ? DC
  • Prove ???A ?C

A
D
B
C
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