A day full of math games & activities. Find one near you.

Which of the following figures do not satisfy any of the following properties?
- All sides are equal.
- All angles are right angles.
- Opposite sides are parallel

(a) P
(b) Q
(c) R
(d) S

Solution:

We have to find the figure which does not satisfy the given properties.

Figure P represents a trapezium. A trapezium is a two-dimensional quadrilateral having a pair of parallel opposite sides.

Figure Q represents a square. A square is a two-dimensional plane figure with four equal sides.

There are only two diagonals of the square and they bisect each other at right angles.

Figure R represents a rectangle. A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other.

Figure S represents a parallelogram. A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.

Therefore, figure P does not satisfy the given properties.

✦ Try This: A quadrilateral has three acute angles. If each measures 87°, then the measure of the fourth angle is

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 9

Which of the following figures do not satisfy any of the following properties? - All sides are equal. - All angles are right angles. - Opposite sides are parallel (a) P (b) Q (c) R (d) S

Summary:

In figure P, all sides are not equal, all angles are not right angles and opposite sides are not parallel.

☛ Related Questions: