Which reason completes the proof below? given: abcd is a parallelogram. modifyingabove upper a upper c with bar bisects angle b c d and angle b c d. prove: abcd is a rhombus. a. opposite sides of a parallelogram are congruent. b. sides of a rhombus are congruent. c. diagonals of a parallelogram bisect each other. d. diagonals of a rectangle are congruent.

Observe the figure given.

Given: ABCD is a parallelogram.

To prove: ABCD is a rhombus

Statement

1. ABCD is a parallelogram. AC bisects .

Reason: Given

2.

Reason: Definition of an angle bisector

3.

Reason: Reflexive property of congruence

4.

Reason: ASA Postulate

5.

Reason: corresponding parts of congruent triangles are equal.

6.

Reason: Opposite sides of the parallelogram are congruent.

7.

Reason: Transitive property of congruence

8. ABCD is a rhombus

Reason: Definition of rhombus

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