2) Prove that opposite sides and opposite angles of a parallelogram ar

1.	2) Prove that opposite sides and opposite angles of a parallelogram are congruent.
Answer» ong>Answer: 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. THEOREM: If a quadrilateral has consecutive angles which are supplementary, then it is a parallelogram. Step-by-step explanation: Properties of parallelograms 1.Opposite sides are congruent (AB = DC). 2.Opposite ANGELS are congruent (D = B). 3.Consecutive angles are supplementary (A + D = 180°). 4.If one angle is right, then all angles are right. 5.The diagonals of a parallelogram bisect each other. 6.Each diagonal of a parallelogram separates it into two congruent triangles.

2) Prove that opposite sides and opposite angles of a parallelogram are congruent.

Answer»

ong>Answer:

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

Step-by-step explanation:

Properties of parallelograms

1.Opposite sides are congruent (AB = DC).

2.Opposite ANGELS are congruent (D = B).

3.Consecutive angles are supplementary (A + D = 180°).

4.If one angle is right, then all angles are right.

5.The diagonals of a parallelogram bisect each other.

6.Each diagonal of a parallelogram separates it into two congruent triangles.

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