8.2 CPCTC Geometry

8.2 Corresponding Parts of Congruent Triangles are Congruent Objectives Identify corresponding parts of congruent triangles. Use CPCTC to prove angles and segments are congruent. Use CPCTC to prove the Isosceles Triangle Base Angle Theorem. Use CPCTC to prove the Isosceles Triangle Base Angle Converse Theorem. Apply corresponding parts of congruent triangles.

Problem 1: CPCTC If two triangles are congruent, then each part of one triangle is congruent to the corresponding part of the other triangle. CPCTC Corresponding Parts of Congruent Triangles are Congruent

Problem 1: CPCTC CPCTC Corresponding Parts of Congruent Triangles are Congruent Steps to use CPCTC Identify two triangles in corresponding order Prove the triangles congruent SSS, SAS, ASA, AAS, HL State the two parts are congruent using CPCTC

Problem 1: CPCTC Together #1

Problem 1: CPCTC Collaborate #2 (5 Minutes)

U R S H S K

Problem 3: Applications of CPCTC Collaborate 1-5 (5 Minutes) Pg. 622

The triangle on the left is congruent to the triangle on the right by ASA

x x

180-117=63 63 o 63 o x o

The triangle on the top is congruent to the triangle on the bottom by SAS 65 ft

Problem 3: Applications of CPCTC Collaborate 6 (3 Minutes) ∆𝑆𝐴𝑅≅∆𝑆𝐴𝑇 SSS ∠𝑇≅∠𝑅 CPCTC

Formative Assessment Skills Practice 8.2 Pg. 648-649 (13-18)