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Which statements prove that a quadrilateral is a parallelogram? Select each correct answer. Responses Quadrilateral DEFG has two sets of consecutive angles that are complementary. quadrilateral D E F G,

asked Nov 6, 2024 145k views

Which statements prove that a quadrilateral is a parallelogram?

Select each correct answer.

Responses

Quadrilateral DEFG has two sets of consecutive angles that are complementary.
quadrilateral D E F G, has two sets of consecutive angles that are complementary.

Quadrilateral DEFG has diagonals that are congruent.
quadrilateral D E F G, has diagonals that are congruent.

Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.
quadrilateral D E F G, has one set of opposite sides that are both congruent and parallel.

Quadrilateral DEFG has opposite angles that are congruent.

Which statements prove that a quadrilateral is a parallelogram? Select each correct-example-1

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Shibankar · Answer 1 · 2024-11-12T09:12:39+0000

A quadrilateral is a parallelogram if it has opposite angles that are congruent, one set of opposite sides that are both congruent and parallel, and congruent diagonals.

A quadrilateral is a parallelogram if it satisfies certain conditions. The statements that prove a quadrilateral DEFG is a parallelogram are:

Quadrilateral DEFG has opposite angles that are congruent.

Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.

Quadrilateral DEFG has diagonals that are congruent.

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