ProcrastinationIsKey ProcrastinationIsKey
  • 11-03-2021
  • Mathematics
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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

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 class=

Respuesta :

reeserl reeserl
  • 11-03-2021

Answer:

See explanation

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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