Question

Drag and drop a statement or reason to each box to complete the proof.

Given: parallelogram MNPQ

Prove: ∠N≅∠Q

Parallelogram M N P Q with diagonal M P drawn.

Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Statement Reason
parallelogram MNPQ
Given
Press enter key to drop response here.Response input area The opposite sides of a parallelogram are congruent.
Press enter key to drop response here.Response input area Reflexive Property of Congruence
△MQP≅△PNM
Press enter key to drop response here.Response input area
Press enter key to drop response here.Response input area Press enter key to drop response here.Response input area

Answer 1

Fill the boxes as follows (statement — reason):

1. parallelogram MNPQ — Given

2. MQ ≅ PN — The opposite sides of a parallelogram are congruent.

3. QP ≅ NM — The opposite sides of a parallelogram are congruent.

4. MP ≅ MP — Reflexive Property of Congruence

5. △MQP ≅ △PNM — SSS Postulate

6. ∠Q ≅ ∠N — Corresponding parts of congruent triangles are congruent (CPCTC)