24.8k views
0 votes
Given: MATH is a parallelogram
prove: MT bisects AH

Given: MATH is a parallelogram prove: MT bisects AH-example-1
User Imhere
by
8.1k points

1 Answer

3 votes

Answer:

Explanation:

In a parallelogram, opposite sides are parallel and equal.

MA // HT & AH is transversal.

∠MAG ≅ ∠GHT {Alternate interior angles are equal} --Angle

MA = HT {MATH is a parallelogram} ---> Side

MA // HT & MT is transversal.

∠AMG ≅ ∠HTG {Alternate interior angles area equal} ---->Angle

ΔMGA ≅ ΔTGH { Angle side angle congruent}

AG = HG {CPCT}

MT bisects AH

User HNHN
by
8.1k points