Basic Geometry Section 4-6: Triangle Congruence: CPCTC

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Presentation transcript:

Basic Geometry Section 4-6: Triangle Congruence: CPCTC

CPCTC Corresponding Parts of Congruent Triangles are Congruent. If the triangles are congruent, then all the parts are CONGRUENT Useful to prove segments or angles are congruent that you have no other way to get to on the green sheet.

FORMAT 1) 1) Given ?) Use this section to ?) ?) find your pairs ?) ?) of ≅ parts. ?) ?) ∆ ≅ ∆ ?)SAS, SSS, AAS, ASA or HL ?) Part ≅ Part ?) CPCTC

Example 1 A and B are on the edges of a ravine. What is AB?

Example 2 1) YW bisects XZ; XY = YZ 1) Given

Example 3 1) NO // MP; ∠N ≅ ∠P 1) Given

Using CPCTC in the Coordinate Plane It’s hard to prove angles are congruent on a graph. Use the distance formula to prove SSS Then use CPCTC to prove any angles are congruent.

Example 4

Assignment #6 Page 263 #’s 1,2,6,8,9,19,20,24,26,(36)