# Mathematics Class 6 NCERT Solutions: Chapter 5 Understanding Elementary Shapes Exercise 5.7

Q.1 Say true or false:

(a) Each angle of a rectangle is a right angle

(b) The opposite sides of a rectangle are equal in length.

(c) The diagonals of a square are perpendicular to one another.

(d) All the sides of a rhombus are of equal length.

(e) All the sides of a parallelogram are of equal length.

(f) The opposite sides of a trapezium are parallel.

Q.2 Give reasons for the following:

(a) A square can be thought of as a special rectangle.

Answer: Because its all angles are right angle and opposite sides are equal.

(b) A rectangle can be thought of as a special parallelogram.

Answer: Because its opposite sides are equal and parallel.

(c) A square can be thought of as a special rhombus.

Answer: Because its four sides are equal and diagonals are perpendicular to each other.

(d) Squares, rectangles, parallelograms are all quadrilateral.

Answer: Because all of them have four sides.

(e) Square is also a parallelogram.

Answer: Because its opposite sides are equal and parallel.

Q.3 A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?