A transversal cuts two parallel lines at A and B. The two interior angles at A are bisected and so are the two interior angles at B ; the four bisectors form a quadrilateral ABCD. Prove that
(i) ABCD is a rectangle.
(ii) CD is parallel to the original parallel lines.
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.