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(i) a quadrilateral

(ii) a parallelogram

(iii) a rhombus

(iv) a rectangle

Answer :

(i) Square is a quadrilateral because it is a closed polygon with four line segments.

(ii) Square is a parallelogram because the opposite sides are equal and parallel and also opposite angles are equal.

(iii) Square is a rhombus because its opposite sides are parallel and all the sides are equal.

(iv) Square is a rectangle because its opposite sides are equal and have equal diagonal.

- 1.State whether True or False. (a) All rectangles are squares. (b) All rhombuses are parallelograms. (c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are trapeziums. (h) All squares are trapeziums.
- 2.Identify all the quadrilaterals that have (a) four sides of equal length (b) four right angles .
- 4.Name the quadrilaterals whose diagonals (i) bisect each other (ii) are perpendicular bisectors of each other (iii) are equal
- 5.Explain why a rectangle is a convex quadrilateral.
- 6.ABC is a right-angled triangle and O is the midpoint of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you).

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