**Understanding Elementary Shapes Class 6 Ex. 5.7 **

**New Ncert Class 6 Math Free Solution.**

**Exercise 5.7**

**Question 1 :- Say True or False:**

**(a) Each angle of a rectangle is a right-angle.**

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

**(c) The diagonals of 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 trapezium are parallel.**

**Solution 1:- **

(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) Square, rectangles, parallelograms are all quadrilaterals.**

**(e) Square is also a parallelogram.**

**Solution 2:-**

(a) A rectangle with all sides equal becomes a square.

(b) A parallelogram becomes a rectangle when each angle is a right angle.

(c) A square is formed when a rhombus has a right angle at each corner.

(d) All these are four-sided polygons made of line segments.

(e) A square is a parallelogram because its opposing sides are parallel.

**Question 3 :- A figure is said to be the regular if its sides are equal in length and angles are equal in measure. Can you identify the ‘regular’ quadrilateral ?**

**Solution 3:-**

Square is only the ‘regular’ quadrilateral with equal sides and equal angles.

Therefore, a square is a ‘regular’ quadrilateral.

**Free Understanding Elementary Shapes Class 6 Exercise. 5.7 for Free (2023-24).**