Chapter 8 – Quadrilaterals

Three angles of a quadrilateral ABCD are equal. Is it a parallelogram? Why or why not? Three angles of a quadrilateral ABCD are equal. Is it a parallelogram? Why or why not? July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

Diagonals of a rhombus are equal and perpendicular to each other. Is this statement true? Give reason for your answer. Diagonals of a rhombus are equal and perpendicular to each other. Is this statement true? Give reason for your answer. July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

ABCD is a parallelogram. If its diagonals are equal, then find the value of ∠ABC. ABCD is a parallelogram. If its diagonals are equal then find the value of ∠ABC. July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

Diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90^o and ∠BDC = 50^o, then ∠OAB is Diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90^o and ∠BDC = 50^o then ∠OAB is July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

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 ,