Free download NCERT Solutions for Class 9 Maths Chapter 8 exercise 8.1 and 8.2 of chapter quadrilaterals in PDF form. For other chapter of Class IX Maths PDF solutions or other subjects solutions move to NCERT Solutions for all subjects.

## NCERT Solutions for Class 9 Maths Chapter 8

### Class 9 Maths Chapter 8

#### Important Questions with Answers – Quadrilaterals

- In a rhombus ABCD, if angle A = 60° find angle B, angle C & angle D.
- The angles of a quadrilateral are in the ratio 1:2:4:5. Find the measure of each angle.
- If in a rhombus LMNP, angle LNM = 40°, then what is the measure of angle LPM?
- In a parallelogram if all the four angles are in the ratio 1:1:1:1, then what type of parallelogram is this one?
- PQRS is a rhombus with angle QPS = 50°. Find angle RQS.
- The angles of a quadrilateral are in the ratio 2:3:5:8. Find all the angles of the quadrilateral.
- If two adjacent angles of a parallelogram ABCD are in the ratio 5:4 find all the angles of the parallelogram.
- Prove that the sum of all the four angles of a quadrilateral is 360°.
- Show that opposite angles of a parallelogram are equal.
- In a parallelogram ABCD, angle B = 110°. Determine the measure of angle A and angle D.
- The diagonals of a parallelogram ABCD intersect at O. A line through O intersects AB at X & DC at Y. Prove that OX = OY.
- In a parallelogram ABCD diagonals AC and BD intersect at O and AC = 7.4 cm. and BD = 6.2 cm. Find the length of AO and BO.
- Two opposite angles of a parallelogram are (5x – 3) and (4x + 12). Find the measure of each angle of the parallelogram.
- If two adjacent angles of a parallelogram are (10y – 9) and (8y + 45). Find all the four angles of Parallelogram.
- The perimeter of a parallelogram is 30 cm. If longer side is 9.5 cm then find the length of shorter side.
- In a parallelogram ABCD diagonals AC and BD intersect at O and AC = 12.6 cm and BD = 9.4 cm Find the measures of OC and OD.
- The angles of a quadrilateral are (x + 20), (x – 20), (2x + 5), (2x – 5). Find the value of x.
- ABCD is a rectangle in which diagonal AC bisects angle A as well as angle C. Show that ABCD is a square.
- Prove that the line segment joining the mid points of two sides of a triangle is parallel to the third side.
- A quadrilateral is a parallelogram if one pair of opposite sides are equal and parallel. Prove it.
- If the diagonals of a quadrilateral bisect each other, then quadrilateral is a parallelograms. Prove it.
- In a parallelograms PQRS, M and N are points on PQ and RS such that PM = RN Prove that MS ||NQ.
- In a parallelogram ABCD, AP and CQ are drawn perpendiculars from vertices A and C on diagonal BD. Prove that triangle APB is congruent to triangle CQD.
- Show that bisectors of angles of parallelogram from a rectangle.