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## Question

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.

## Answer

Observe the figure given.Given: ABCD is a parallelogram.To prove: ABCD is a rhombusStatement1. ABCD is a parallelogram. AC bisects .Reason: Given2. Reason: Definition of an angle bisector3. Reason: Reflexive property of congruence4. Reason: ASA Postulate5. Reason: corresponding parts of congruent triangles are equal.6. Reason: Opposite sides of the parallelogram are congruent.7. Reason: Transitive property of congruence8. ABCD is a rhombusReason: Definition of rhombus

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