(i) Prove that bisectors of any two adjacent angles of a parallelogram are at right angles.
(ii) Prove that bisectors of any two opposite angles of a parallelogram are parallel.
(iii) If the diagonals of a quadrilateral are equal and bisect each other at right angles, then prove that it is a square.
Solution:
More Solutions:
- Prove that 3 ∠POB = ∠AOP.
- Prove that EFGH is a square.
- ABCD and ABEF are parallelograms.
- Find the ratio AC : BD.
- ABCD in which ∠ BAD = 45°
- AB = 6cm, BC = 4cm, CD = 4 cm
- Construct the quadrilateral ABCD.
- Which AB = 3.3 cm, BC = 4.9 cm, CD = 5.8 cm.
- Construct a trapezium ABCD in which AD || BC
- AB = 5 cm. BC = 6.2 cm and CD = 4.8 cm.