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I need help with a geometry problem!

I need help with a geometry problem!-example-1
User HBG
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Short Answer: D
Start with the givens.

MP is the base of an isosceles Δ Given
HM = HP The Triangle is isosceles. Two sides are =
NM = OP Given
NP ⊥ OM Where they meet forms a right angle.

Other things that can be proven.
<NHM = <OHP Lines that are ⊥ form right angles where the lines meet.

Conclusion
We have 2 right angle triangles. They have equal hypotenuses. They have 1 other side that is congruent to a corresponding side of the other triangle

The triangles are congruent by HL

D <<<< Answer
User Karni
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