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Geometry Lesson 4.3.notebook December 03, 2014 Bell Ringer Find the measure of each numbered angle. 1 Geometry Lesson 4.3.notebook December 03, 2014 Congruent Triangles If two geometric figures have the same shape and size, they are congruent. In congruent polygons, all the parts of one polygon are congruent to the corresponding parts of the other polygon. These corresponding parts include corresponding angles and corresponding sides. Corresponding Angles: Corresponding Sides: Congruence Statement: INVALID STATEMENT: Because corresponding parts do not match. 2 Geometry Lesson 4.3.notebook December 03, 2014 Identify the corresponding congruent parts: If two polygons are congruent, then their corresponding parts are congruent. For triangles we say Corresponding Parts of Congruent Triangles are Congruent, or to shorten it up, CPCTC. 3 Geometry Lesson 4.3.notebook December 03, 2014 Third Angle Theorem If two angles of one triangle are congruent to two angles of a second triangle, then the third angles are also congruent. 4 Geometry Lesson 4.3.notebook December 03, 2014 Given: L bisects Prove: L bisects 5 Geometry Lesson 4.3.notebook December 03, 2014 Properties of Triangle Congruence Reflexive Property Symmetric Property Transitive Property P. 257 920, 23, 24, 2830 6 Geometry Lesson 4.3.notebook December 03, 2014 7