4 2 Triangle Congruence by SSS and SAS

4 -2: Triangle Congruence by SSS and SAS 4 -3: Triangle Congruence by ASA and AAS 4 -4: Using Corresponding Parts of Congruent Triangles

Side-Side (SSS) If, in two triangles: three sides of one are congruent to three sides of the other, then the triangles are congruent. E B F C A D

Side-Angle-Side (SAS) If, in two triangles: two sides and the included angle of one are congruent to two sides and the included angle of the other, then the triangles are congruent E B F C A D

Angle-Side-Angle (ASA) If, in two triangles: two angles and the included side of one are congruent to two angles and the included side of the other, then the two triangles are E congruent. B F C A D

Angle-Side (AAS) If, in two triangles: two angles and a non-included side of one are congruent respectively to two angles and the corresponding non-included side of the other, then the triangles are congruent. E B F C A D

Using only the given information, which pairs of triangles are congruent? Justify your answer. 1. 2. No Yes; SAS 3. No

Writing Proofs 3 congruent to Prove ___ parts of one triangle are ______ the _________ corresponding parts of another triangle. 3 Use Triangle Congruence Theorems and other theorems in the proof.

Ex. 1 Given: N Prove: U Statement 1). C F A Reason 1). Given

Ex. 2 L Given: T Prove: O Statement 1). P Reason 1). Given

A Ex. 3 Given: B Prove: E Statement 1). Reason 1). Given C D

Ex. 4 K J Given: M Prove: Statement 1). L Reason 1). Given

Corresponding Parts of Congruent Figures are Congruent (CPCFC) If two figures are congruent, then so are all of their corresponding parts.

Ex. 5 W 2 Given: Prove: 1). 1 3 4 T Statement A Reason 1). Given I