Students can download Chapter 5 Understanding Elementary Shapes Ex 5.7 KSEEB Solutions for Class 6 Maths helps you to revise the complete syllabus.

## Karnataka State Syllabus 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. – True

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

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

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

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

f) The opposite sides of a trapezium are parallel. – False

Question 2.

Give reasons for the following:

Solution:

a) A square can be through of as a special rectangle.

In a rectangle all the interior angles are of the same measure i,e, 90° and the opposite side of the rectangle are of the same length where as in case of a square, all the interior angles are of 90° and all the sides are of the same length in other words, a rectangle with all sides equal becomes a square there, a square is a special rectangle.

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

Opposite sides of a parallelogram are parallel and equal in a rectangle, the opposite sides are parallel and equal also, all the interior angles of the rectangle are of the same Measure, i,e. 90°. in other words, a parallelogram with each angle a right angle becomes a rectangle Therefore a rectangle can be thought of as a specific parallelogram.

c) A square can be through of as a special parallelogram.

All sides of a rhombus and a square are equal However, in case of a square, all interior angles are of 90° Measure. A rhombus with each angle a right angle becomes a square Therefore a square can be thought of as a special rhombus.

d) Squares, rectangles, parallelograms are all quadrilaterals.

All are closed figure made of 4 line segments Therefore all these are quadrilaterals.

e) Square is also a parallelogram. Opposite sides of a parallelogram are parallel and equal in a square, the opposite sides are parallel and the lengths of the four sides are equal Therefore a square can be thought 6 f as a special parallelogram.

Question 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?

Solution:

In a square, all the interior angles are 90° and all the sides are of the same length Therefore a square is a regular quadrilateral.