Question

my one pair of opposite sides is parallel diagonals intersect each other in the same ratio two adjacent angles are supplementary​

Answer 1

Step-by-step explanation:

One pair of opposite sides is parallel and equal in length. Adjacent angles are supplementary. Each diagonal divides the quadrilateral into two congruent triangles. The sum of the squares of the sides equals the sum of the squares of the diagonals.a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations.

Parallelogram

Parallelogram.svg

This parallelogram is a rhomboid as it has no right angles and unequal sides.

Type

quadrilateral

Edges and vertices

4

Symmetry group

C2, [2]+,

Area

b × h (base × height);

ab sin θ (product of adjacent sides and sine of the vertex angle determined by them)

Properties

convex

By comparison, a quadrilateral with just one pair of parallel sides is a trapezoid .

The three-dimensional counterpart of a parallelogram is a parallelepiped.

Hope ots help..