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4 years ago

Given:

Mathematics

1 answer:

Natali [406]4 years ago

4 0

Answer:

$\overline{PM}\cong\overline{ON}$ :, Segment subtended by the same angle on two adjacent parallel lines are congruent

Step-by-step explanation:

Statement, Reason

MNOP is a parallelogram:, Given

$\overline{PM}\left | \right |\overline{ON}$ :, Opposite sides of a parallelogram

∠PMO ≅ ∠MON:, Alternate Int. ∠s Thm.

$\overline{MN}\left | \right |\overline{PO}$ :, Opposite sides of a parallelogram

∠POM ≅ ∠NMO:, Alternate Int. ∠s Thm.

OM ≅ OM:, Reflexive property

$\overline{PM}\cong\overline{ON}$ :, Segment subtended by the same angle and on two adjacent parallel lines are congruent

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Step-by-step explanation:

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