 # NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.7

NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.7 are provided here to help the students in their exam preparation. A quadrilateral is a four sided polygon. Rectangle, Square, parallelogram, rhombus and trapezium are the types of quadrilaterals which are covered under this exercise. The concepts are explained by the faculty in the best possible way to help students perform effectively in the exam. These NCERT Solutions Class 6 Maths are based on the prescribed syllabus and guidelines of current CBSE board.

## NCERT Solutions for Class 6 Chapter 5: Understanding Elementary Shapes Exercise 5.7 Download PDF ### Access NCERT Solutions for Class 6 Chapter 5: Understanding Elementary Shapes Exercise 5.7

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.

Solutions:

(a) True, each angle of a rectangle is a right angle

(b) True, the opposite sides of a rectangle are equal in length.

(c) True, the diagonals of a square are perpendicular to one another

(d) True, all the sides of a rhombus are of equal length

(e) False, all the sides of a parallelogram are not equal

(f) False, the opposite sides of a trapezium are not parallel

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 a parallelogram.

Solutions:

(a) A rectangle in which all the interior angles are of same measure i.e 900 and only opposite sides of the rectangle are of same length whereas in square all the interior angles are of 900 and all the sides of the square are of same length. Hence, a rectangle with all sides equal becomes a square. Therefore square is a special rectangle.

(b) In a parallelogram opposite sides are parallel and equal. In a rectangle opposite sides are parallel and equal. The interior angles of the rectangle are of same measure i.e 900. Hence, a parallelogram with each angle as right angle becomes a square. Therefore a rectangle is a special parallelogram

(c) All sides of a rhombus and square are equal but in case of square all interior angles are of 900. A rhombus with each angle as right angle becomes a square. Therefore a square is a special rhombus

(d) Since, all are closed figures with 4 line segments. Hence all are quadrilaterals

(e) Opposite sides of a parallelogram are equal and parallel whereas in a square opposite sides are parallel and all 4 sides are of same length. Therefore a square is a special parallelogram.

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?

Solutions:

Square is a regular quadrilateral because all the interior angles are of 900 and all sides are of same length.