**ABCD is a parallelogram. If the diagonal AC bisects ∠A, then prove that:**

**(i) AC bisects ∠C**

**(ii) ABCD is a rhombus**

**(iii) AC ⊥ BD.**

**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.