Month: June 2024

7. ABCD is a trapezium in which AB || CD and AD = BC (see Fig.). Show that:

6. ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal

5. In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP =

4. ABCD is a  rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that:   (i)

3. Diagonal AC of a parallelogram ABCD bisects ∠A (see Fig.). Show that:(i) it bisects ∠C also, (ii)

2. Show that the diagonals of a square are equal and bisect each other at right angles. Quadrilaterals

1. If the diagonals of a parallelogram are equal, then show that it is a rectangle. Quadrilaterals Exercise