# Execise 3.4

Complete above steps to enable this content

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

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

**(a) four sides of equal length:**

**(b) four right angles:**

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

**(i) a quadrilateral:** because it has

**(ii) a parallelogram:** because its opposite sides are

**(iii) a rhombus:** because all four sides are of

**(iv) a rectangle:** because it has

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

**(i) Diagonals bisect each other:**

Parallelogram,

**(ii) Diagonals are perpendicular bisectors of each other:**

**(iii) Diagonals are equal:**

Rectangle,

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

In convex quadrilaterals, diagonals lie in the

Rectangle ABCD has

**Hence, ABCD is a convex quadrilateral.**

Complete above steps to enable this content

**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).**

**Therefore, O is equidistant from A, B, C, and D.**