Question

What are all quadrilaterals that have opposite sides that are congruent and parallel?

Answer 1

Hint: Quadrilateral is the closed figure with four sides and the four vertices. It is also known as “quadrangle”. Basically, there are six types of quadrilaterals such as rectangle, square, kite, rhombus, trapezium and parallelogram. Refer the properties and know the difference among them.

Complete step-by-step answer:
Parallelogram - A parallelogram is the simple quadrilateral with its two opposite sides parallel to each other. The opposite sides of the parallelogram are of same length and never intersect each other.

Rhombus - Rhombus has all the four sides equal and opposite two sides of the rhombus are parallel to each other and the diagonals of the rhombus always intersect at right angles.

Rectangle- Opposite two sides of the quadrilateral are equal and parallel to each other.
Square – All the four sides of the quadrilateral are equal and parallel to each other.

Hence, the quadrilateral that has opposite sides which are congruent and parallel can be a parallelogram, rhombus, rectangle or square.

Note: Follow the properties of the parallelogram properly. Always remember that the opposite two sides of the parallelogram are always equal. Be good in multiples and simplification for the accurate and an efficient solution.