Question

Write a two-column proof. Given: Quadrilateral GKJH is a parallelogram Prove: △GLH ≅ △JLK

Answer 1

Answer:

See explanation

Step-by-step 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