1. 5.2 Using Congruent Triangles: CPCPC
Objective:
• Define CPCTC
• Use CPCTC to solve triangles

2. Concept: C.P.C.P.C. Corresponding Parts (of) Congruent Polygons (are)
If two polygons are congruent, then their corresponding parts are also congruent.

3. Concept: Corresponding ?
We have seen the word “Corresponding” before. Recall: Corresponding means “same place”
The order we write the statements is important.
means that:
A corresponds to D
B corresponds to E
C corresponds to F

4. Concept: Congruent Figures?
• Congruent figures have the same size and shape. • Corresponding sides are congruent. • Corresponding angles are congruent.
That means:

5. Concept: Using CPCPC?
You can use CPCPC to determine if two triangles are congruent. Determine if the triangles are congruent. Explain.
6.9 cm G
because: M P
60º
30º
9.2 cm
11.5 cm
11.5 cm
9.2 cm
30º
60º J H Q
6.9 cm

6. Concept: Using CPCPC?
You can also use CPCPC to solve for a given variable. Remember, CPCTC means that if two triangles are congruent, then the corresponding parts are congruent also. X V
Given that: are congruent,
find w.
36º
4w = 180 U
4w + 72= 180
– –72
(4w + 14)º
4w = 108 Y
___ ___
22º
w = 27 Z T