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Alenkinab [10]
3 years ago
14

Given:

Mathematics
1 answer:
Natali [406]3 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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