Category Class 9

7. ABCD is a trapezium in which AB || CD and AD = BC (see Fig.). Show that: (i) ∠A = ∠B (ii) ∠C = ∠D (iii) ΔABC ≅ ΔBAD (iv) diagonal AC = diagonal BD    [Hint :Extend AB and draw…

6. ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (see Fig.). Show that:(i) ΔAPB ≅ ΔCQD (ii) AP = CQ Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise 8.1…

5. In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see Fig.). Show that:      (i) ΔAPD ≅ ΔCQB     (ii) AP = CQ (iii) ΔAQB ≅ ΔCPD    (iv) AQ = CP      (v)…

4. ABCD is a  rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that:   (i) ABCD is a square (ii) diagonal BD bisects ∠B as well as ∠D. Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise…

3. Diagonal AC of a parallelogram ABCD bisects ∠A (see Fig.). Show that:(i) it bisects ∠C also, (ii) ABCD is a rhombus. Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise 8.1 1. If the diagonals of a parallelogram are…

2. Show that the diagonals of a square are equal and bisect each other at right angles. Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise 8.1 1. If the diagonals of a parallelogram are equal, then show that it…

1. If the diagonals of a parallelogram are equal, then show that it is a rectangle. Quadrilaterals Exercise 8.1 Previous Next Class 9 Quadrilaterals Exercise 8.1 1. If the diagonals of a parallelogram are equal, then show that it is…