Question

determine if the triangles in the figure are congruent. if so write the congruency statement and the reason the triangles are congruent. Explain your answer.

Answer 1

Congruent shapes must have the same shape and size. To determine if two figures are congruent, measure all of their angles and side lengths. If each pair of corresponding angles and sides have the same measure, then the figures are congruent.

Step-by-step explanation:

Edg 2021

Answer 2

Triangles UVW and YXW are congruent by ASA

see the explanation

Explanation:

we know that

The ASA Postulate (Angle-Side-Angle) states that: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

In this problem

`m\angle VWU=m\angle XWY` ---> by vertical angles

`m\angle VUW=m\angle XYW` ----> given problem

`UW=YW` ----> given problem

so

Two angles and the included side of triangle UVW are congruent to the corresponding parts of triangle YXW

therefore

Triangles UVW and YXW are congruent by ASA