MATH SOLVE

2 months ago

Q:
# I need help with a geometry problem!

Accepted Solution

A:

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

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