Question

Hi, I need help asap.

Answer 1

part a) draw two triangles, translating one of them to the right.

part b) Consider triangles ΔYXB and ΔYZA. In these triangles:

• ∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);
• ∠YXB≅∠YZA (given);
• XY≅ZY (given).

Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.

ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

part c) flow chart proof:

$\triangle YXB\cong \triangle YZA\Rightarrow$

• XY≅ZY (given);
• XB≅ZA (implies);
• YB≅YA (implies).