Question

question #12 g.gsr.3.4 identify the additional information needed to prove △cab≅△ktw by sas. a. kw¯≅cb¯ b. kt¯≅ca¯ c. ∠b≅∠w d. ∠c≅∠k

Explanation:

Step1: Recall SAS criterion

The Side - Angle - Side (SAS) congruence criterion 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.

Step2: Analyze given information

In $\triangle CAB$ and $\triangle KTW$, we already know one pair of angles ($\angle A\cong\angle T$) and one pair of sides ($\overline{AB}\cong\overline{TW}$). For SAS, we need the pair of sides that include the given angles to be congruent. So we need $\overline{KW}\cong\overline{CB}$ since $\angle A$ is included between $\overline{CA}$ and $\overline{AB}$, and $\angle T$ is included between $\overline{KT}$ and $\overline{TW}$.

Answer:

a. $\overline{KW}\cong\overline{CB}$