Execise 3.4
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.
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).
