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# 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:**

- Which of the following properties describe a trapezium? (a) A pair of opposite sides is parallel. (b . . . .
- Which of the following is a property of a parallelogram? (a) Opposite sides are parallel. (b) The di . . . .
- What is the maximum number of obtuse angles that a quadrilateral can have ? (a) 1 (b) 2 (c) 3 (d) 4

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