Question

question #11 g.gsr.3.4 which triangle congruence theorem can be used to prove the triangles below are congruent? a. sss b. sas c. asa d. aas e. hl question #12 g.gsr.3.4 identify the additional information needed to prove △cab≅△ktw by sas. a. kw≅cb

Explanation:

Question #11:

1. Analyze triangle properties:

The triangles are right - angled (right - angle symbol shown), and the hypotenuses are congruent (marked with the same tick mark). The HL (Hypotenuse - Leg) theorem is used for right - angled triangles when the hypotenuse and one leg are congruent.

Question #12:

1. Recall SAS criterion:

The Side - Angle - Side (SAS) congruence criterion requires two sides and the included angle to be congruent. We already have one pair of sides congruent (marked with tick marks). For $\triangle CAB\cong\triangle KTW$ by SAS, we need the side adjacent to the right - angle in each triangle to be congruent, so $\overline{AB}\cong\overline{TW}$.

Answer:

Question #11:

e. HL

Question #12:

The additional information needed is $\overline{AB}\cong\overline{TW}$