How do i do this, I don’t understand how to figure out all the congruent info

Question

Given: U is a midpoint, line ST is parallel to line UH, Angle T is congruent to angle H

Prove: Line ST is congruent to line UH

statement:

U is a midpoint, line ST is parallel to line UH, Angle T is congruent to angle H

1.

2.Line SU is congruent to Line UJ

3.

4.

justification:

given

2.cooresponding angles

3.AAS

4.CPCTC

Answer 1

Hi Sarah,

since you haven’t given a diagram or proper description of the figure, I’m going to think of it as two triangles STU and UHJ

here we are trying to prove that these two triangles are congruent using AAS

it is given that angle T congruent to angle H

and line SU is congruent to line UJ - given U is the midpoint

so prove that angle UST congruent to angle JUH - corresponding angles

so triangle STU is congruent to triangle UHJ by AAS

Therefore

line ST is congruent to line UH by CPCTC