Understanding Elementary Shapes

Exercise 5.7

Questions with (*) sign are open-ended questions.

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.

Answers:

(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.

2). Give reasons for the following:

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

If all the sides of a rectangle are congruent then it becomes square.

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

If each angle of a parallelogram is a right angle then it becomes a rectangle.

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

If each angle of a rhombus is a right angle then it is square.

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

All these are closed polygons made up of four sides.

(e). Square is also a parallelogram.

The opposite sides of a square are parallel to each other, therefore, it is also a square.

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?

A square is a regular polygon. 

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