1. Geometry 4-6 CPCTC

2. Definition  Corresponding Parts of Congruent Triangles are Congruent (CPCTC)  If two triangles are congruent, then all of their corresponding parts are congruent.  You can only use CPCTC after you know that two triangles are congruent.

3. Example A landscape architect sets up the triangles shown in the figure to find the distance JK across a pond. What is JK? First, prove the triangles congruent. Second, use CPCTC to find JK.

4. Example 15 5 5 24 3x-2

5. Example Find the values of x and y. Given: PR bisects  QPS and  QRS. 125° x - 5° 12 2y - 4

6. Example  If ∆DEF  ∆GHI and DE = 25, EF = 30, and DF = 27, what is the value of GI?  If ∆ABC  ∆XYZ and AB = 12, BC = 35, AC = 40, and YZ = 5x + 5, what is the value of x?