Question

GEOMETRY:

Explain why segment PR is congruent to segment VE, given segment VO is congruent to segment RO and line PR is parallel to line VE

Answer 1

See explanation

Explanation:

∠POR is congruent to ∠VOE because they are vertical angles

∠PRV is congruent to ∠RVE because alternate interior angles are congruent when the lines are parallel.

VO is congruent to OR which is given

Therefore, ΔPRO is congruent to ΔEVO by the angle-side-angle theorem

So, PR is congruent to VE because corresponding parts of congruent triangles are congruent