Geometry 4-6 CPCTC. Definition  Corresponding Parts of Congruent Triangles are Congruent (CPCTC)  If two triangles are congruent, then all of their.

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Presentation transcript:

Geometry 4-6 CPCTC

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.

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.

Example x-2

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

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?