Question

triangles congruent by sss and sas review name the triangle congruence postulate you can use to prove each pair of triangles congruent. a. because three sides of △ghi are congruent to three sides of △zyx, △ghi≅△zyx by ____. b. because two sides and the included angle of △bcf are congruent to two sides and the included angle of △ecd, △bcf≅△ecd by ____.

Explanation:

Step1: Recall SSS congruence postulate

The SSS (Side - Side - Side) postulate states that if three sides of one triangle are congruent to three sides of another triangle, the two triangles are congruent. Since three sides of $\triangle GHI$ are congruent to three sides of $\triangle ZYX$, we use SSS.

Step2: Recall SAS congruence postulate

The SAS (Side - Angle - Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the two triangles are congruent. Since two sides and the included angle of $\triangle BCF$ are congruent to two sides and the included angle of $\triangle ECD$, we use SAS.

Answer:

a. SSS
b. SAS