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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?

Square is the only quadrilateral with sides equal in length and angles equal in measure, therefore, a square is the regular quadrilateral.

2.(e) Give reasons for the following :

(e)     Square is also a parallelogram.

Square is also a parallelogram as its opposite sides are parallel.

2.(d)   Give reasons for the following :

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

Squares, rectangles, parallelograms are all quadrilaterals as they all have four sides.

2.(c)     Give reasons for the following :

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

A square can be thought of as a special rhombus because like a rhombus it has all sides equal but all its angles are also equal.

2.(b)     Give reasons for the following :

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

A rectangle can be thought of as a special parallelogram as it s a parallelogram only but with all angles equal to ninety degrees.

2.(a)  Give reasons for the following :

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

A square can be thought of as a special rectangle as it is a rectangle only but with all sides equal.

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.

(a) True. (b) True. (c) True. (d) True. (e) False. (f) False.
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