Question

question 1 of 45 which of the following proves △abc≅△def? given: ab≅de bc≅ef ∠b≅∠e a. sas b. asa c. sss d. ssa

Explanation:

The Side - Angle - Side (SAS) congruence 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, then the two triangles are congruent. Here, $\overline{AB}\cong\overline{DE}$, $\angle B\cong\angle E$, and $\overline{BC}\cong\overline{EF}$, which satisfies the SAS criterion. ASA requires two angles and the included side, SSS requires all three sides to be congruent, and SSA is not a valid congruence postulate.

Answer:

A. SAS