Question

Write a two-column proof.

Given: Quadrilateral GKJH is a parallelogram
Prove: △GLH ≅ △JLK

Answer 1

See explanation

Explanation:

Statement Reason

1. GKJH is a parallelogram - Given

2. GH║KJ - Definition of the parallelogram

3. ∠HGL and ∠KJL are alternate interior angles - Definition of alternate interior angles

4. ∠HGL≅∠KJL - Alternate interior angles theorem

5. GH≅KJ - Property of parallelogram

6. ∠GLH and ∠JLK are vertical angles - Definition of vertical angles

7. ∠GLH≅∠JLK - Vertical angles thoerem

8. ΔGLH≅ΔJLK - AAS postulate