Question Answers

18. P is the mid-point of the side CD of a parallelogram ABCD. A line through C parallel to PA intersects AB at Q and DA produced at R. Prove that DA = AR and CQ = QR. 18. P is the mid-point of the side CD of a parallelogram ABCD. A line through C [...]

17. Prove that the line joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides of the trapezium. 17. Prove that the line joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides of the trapezium. July 1, 2021 Category: Chapter 8 - Quadrilaterals , [...]

16. D, E and F are respectively the mid-points of the sides AB, BC and CA of a triangle ABC. Prove that by joining these mid-points D, E and F, the triangles ABC is divided into four congruent triangles. 16. D BC and CA of a triangle ABC. Prove that by joining these mid-points D [...]

15. ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square. 15. ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square. July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

14. P and Q are points on opposite sides AD and BC of a parallelogram ABCD such that PQ passes through the point of intersection O of its diagonals AC and BD. Show that PQ is bisected at O. 14. P and Q are points on opposite sides AD and BC of a parallelogram ABCD [...]

13. Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle. 13. Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle. July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

12. E and F are respectively the mid-points of the non-parallel sides AD and BC of a trapezium ABCD. Prove that EF || AB and EF = 1/2 (AB + CD). 12. E and F are respectively the mid-points of the non-parallel sides AD and BC of a trapezium ABCD. Prove that EF || AB [...]

11. Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a square is also a square. 11. Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a square is also a square. July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class [...]

10. E is the mid-point of a median AD of ∆ABC and BE is produced to meet AC at F. Show that AF = 1/3 AC. 10. E is the mid-point of a median AD of ∆ABC and BE is produced to meet AC at F. Show that AF = 1/3 AC. July 1, 2021 [...]

9. In Fig. 8.11, AB || DE, AB = DE, AC || DF and AC = DF. Prove that BC || EF and BC = EF. 9. In Fig. 8.11 AB = DE AC || DF and AC = DF. Prove that BC || EF and BC = EF. July 1, 2021 Category: Chapter 8 [...]