Question Answers

8. ABCD is a quadrilateral in which AB || DC and AD = BC. Prove that ∠A = ∠B and ∠C = ∠D. 8. ABCD is a quadrilateral in which AB || DC and AD = BC. Prove that ∠A = ∠B and ∠C = ∠D. July 1, 2021 Category: Chapter 8 - Quadrilaterals , [...]

7. P and Q are the mid-points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects DP at S and BQ intersects CP at R. Show that PRQS is a parallelogram. 7. P and Q are the mid-points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects [...]

6. A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus. 6. A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus. July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

5. P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC = BD and AC ⊥ BD. Prove that PQRS is a square. -q 5. P BC CD and DA of quadrilateral ABCD in which AC = BD and AC ⊥ BD. Prove [...]

4. P, Q, R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD such that AC ⊥ BD. Prove that PQRS is a rectangle. -q 4. P BC CD and DA of a quadrilateral ABCD such that AC ⊥ BD. Prove that PQRS is a rectangle. [...]

3. P, Q, R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD in which AC = BD. Prove that PQRS is a rhombus. -q 3. P BC CD and DA of a quadrilateral ABCD in which AC = BD. Prove that PQRS is a rhombus. [...]

2. In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ∠A meets DC in E. AE and BC produced meet at F. Find the length of CF. 2. In a parallelogram ABCD AB = 10 cm and AD = 6 cm. The bisector of ∠A meets DC in [...]

1. A square is inscribed in an isosceles right triangle so that the square and the triangle have one angle common. Show that the vertex of the square opposite the vertex of the common angle bisects the hypotenuse. 4. ABCD is a rhombus in which altitude from D to side AB bisects AB. Find the [...]

10. In Fig. 8.7, P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. Prove that AD = 2CD. 10. In Fig. 8.7 P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. Prove that AD = 2CD. July 1, 2021 Category: Chapter [...]

9. Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP = CQ (Fig. 8.6). Show that AC and PQ bisect each other. 9. Points P and Q have been taken on opposite sides AB and CD respectively of a parallelogram ABCD such that [...]