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