Question

I need to find out how these two Triangles are congruent. Can take another picture if you can't see the question in full.

Answer 1

Input data

GH║KL and J is the midpoint of HK.

To Prove:

`\Delta GHJ\cong\Delta LKJ`

Statements Reasons

1. GH║KL 1. Given

2. J is the midpoint of HK 2. Given

3. JH ≅ JK 3. Definition of the midpoint of a segment

4. ∠JKL ≅ ∠JHG 4. Alternate interior angles

5. ∠GJH ≅ ∠KJL 5. Vertically opposite angles

6. ΔGHJ ≅ ΔLKJ 6. By ASA theorem of congruence