MATH SOLVE

2 months ago

Q:
# Which statements prove that a quadrilateral is a parallelogram? Select each correct answer. Quadrilateral DEFG has opposite angles that are congruent. Quadrilateral DEFG has diagonals that bisect each other. Quadrilateral DEFG has only one set of opposite sides that are congruent. Quadrilateral DEFG has only one set of consecutive angles that are supplementary.'

Accepted Solution

A:

Answer:- Statement 1 and Statement 2

Explanation:-Properties of a parallelogram:-The opposite sides are congruent. The opposite angles are congruent . The consecutive angles are supplementary. If one angle is right, then all angles are right. Diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram divides it into two congruent triangles. Thus, statements 1 and 2 are the correct answer to prove that a quadrilateral DEFG is a parallelogram.

Explanation:-Properties of a parallelogram:-The opposite sides are congruent. The opposite angles are congruent . The consecutive angles are supplementary. If one angle is right, then all angles are right. Diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram divides it into two congruent triangles. Thus, statements 1 and 2 are the correct answer to prove that a quadrilateral DEFG is a parallelogram.