3. Can a trapezium have all angles equal? Can it have all sides equal? Explain.
2. A square was defined as a rectangle with all sides equal. Can we define it as
rhombus with equal angles? Explore this idea.
1. A mason has made a concrete slab. He needs it to be rectangular. In what different ways can he make sure that it is rectangular?
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).
5. Explain why a rectangle is a convex quadrilateral.
4. Name the quadrilaterals whose diagonals.
(iii) are equal
4. Name the quadrilaterals whose diagonals.
(ii) are perpendicular bisectors of each other
4. Name the quadrilaterals whose diagonals.
(i) bisect each other
3. Explain how a square is.
(iv) a rectangle
3. Explain how a square is.
(iii) a rhombus
3. Explain how a square is.
(ii) a parallelogram
A square is a parallelogram because square has opposite sides parallel to each other.
3. Explain how a square is.
(i) a quadrilateral
2. Identify all the quadrilaterals that have.
(b) four right angles
All the quadrilaterals that have four right angles are rectangle and square
2. Identify all the quadrilaterals that have.
(a) four sides of equal length
1. State whether True or False.
(h) All squares are trapeziums.
1. State whether True or False.
(g) All parallelograms are trapeziums.
1. State whether True or False.
(f) All rhombuses are kites.
1. State whether True or False.
(e) All kites are rhombuses.
1. State whether True or False.
(d) All squares are not parallelograms.
1. State whether True or False.
(c) All squares are rhombuses and also rectangles.