Question

prove that opposite angles of a parallelogram are congruent​

Answer 1

Answer:

A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.

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Answer 2

Use the following, to PROVE a parallelogram:

DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. 

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THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram. 

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THEOREM: If a quadrilateral has consecutive angles which are supplementary, then it is a parallelogram. 

THEOREM: If a quadrilateral has diagonals which bisect each other, then it is a parallelogram. 

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THEOREM: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.

This last method can save time and energy when working a proof!