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

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Step-by-step 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

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step-by-step explanation:

the answer is a

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