Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.7 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.7

Question 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.

Solution:

(a) True

(b) True

(c) True

(d) True

(e) False

(f) False

Question 2.

Give reasons for the following:

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

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

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

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

(e) Square is also parallelogram.

Solution:

(a) A square can be considered as a rectangle having all of its sides equal.

(b) A rectangle can be considered as a parallelogram having each of its angles equal to 90°.

(c) A square can be considered as a rhombus having each angle equal to right angle.

(d) Quadrilateral is a polygon having four sides. Squares, rectangles and parallelograms are four-sided polygons.

(e) The opposite sides of a square are parallel, therefore a square is also a parallelogram.

Question 3.

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

Solution:

Square is the only quadrilateral having all its sides equal in length and all its angles equal in measure.

Therefore, square is a regular quadrilateral.