Question

Use the diagram and given information to answer the questions and prove the statement.

Answer 1

Answer:

See explanation

Step-by-step explanation:

ASA Postulate (Angle-Side-Angle):

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider triangles XYB and ZYA. In these triangles

• ∠X≅∠Z (given)
• XY≅ZY (given)
• ∠Y is common angle

By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so

BX≅AZ