**Q.1 State whether True or False.
**

(b) True

(c) True

(d) False

(e) False

(f) True

(g) True

(h) True

**Q.2 Identify all the quadrilaterals that have.
**

(b) Square and rectangle have four right angles.

**Q.3 Explain how a square is.
**

(ii) a parallelogram

(iii) a rhombus

(iv) a rectangle

(ii) A square is a parallelogram since its opposite sides are parallel to each other.

(iii) A square is a rhombus since it has four equal sides and diagonals bisect at 90áµ’ to each other.

(iv) A square is a rectangle since its each interior angle measures 90áµ’.

**Q.4 Name the quadrilaterals whose diagonals.
**

(ii) Rhombus and square are quadrilaterals whose diagonals are perpendicular bisectors of each other.

(iii) Square and rectangle are quadrilaterals whose diagonals are equal.

**Q.5 Explain why a rectangle is a convex quadrilateral.
**

**Q.6 ABC is a right-angled triangle and O is the mid point 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).**

** Sol.** For the given right-angled triangle ABC, draw lines AD and DC such that || and || . Also, AD = BC and AB = DC.

Hence, now ABCD is a rectangle as opposite sides are equal and parallel to each other and all the interior angles are of 90áµ’.

We know that, in rectangle diagonals are of equal length and they bisect each other.

Therefore, AO = OC = BO = OD.

Thus, O is equidistant from A, B and C.

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