Question

Question #19dab

Answer 1

A parallelogram is a quadrilateral (a polygon with four sides) with two pairs of parallel sides that are opposite to each other. These opposite parallel sides are equal in length.

Explanation:

Examples would be rectangles and rhombuses.

Triangles would not be parallelograms because they have three sides.

Trapezoids would not be parallelograms because they only have 1 pair of parallel sides.

All parallelograms are trapezoids, however, because they all have 2 pairs of parallel sides. Trapezoids are quadrilaterals with at least 1 pair of parallel sides.

Answer 2

A parallelogram has opposite sides parallel and equal.

i.e. Opposite angles are equal and adjacent angles are supplementary.

Explanation:

Simple definition of a parallelogram :

Parallelogram is a quadrilateral ( a four sided figure) with opposite sides parallel and equal.

i.e. Opposite angles are equal and adjacent angles are supplementary.

Rectangles are a special case of parallelogram where in all the four angles are right angles.

Rhombus is also a parallelogram but with all four sides equal.

Area of a parallelogram `A_p = b * h` where h is the shortest distance between the pair of opposite sides (Altitude).