# Free CBSE Class 9 Maths Quadrilaterals Worksheets

## Sample CBSE Class 9 Maths Quadrilaterals Worksheet Questions

1.

In the figure below, ABCD is a trapezium in which AB $\parallel$ DC, BD is a diagonal and E is the mid - point of AD. A line is drawn through E parallel to AB intersecting BC at F. Which of the following statement is true?

1. BC = 2BF 2. BC = 3BF/2 3. BC = 3BF 4. None of these
2.

ABCD is a quadrilateral and AP and DP are bisectors of $\angle&space;A$ and $\angle&space;D$. The value of x is ________.

1. $85^{\circ}$ 2. $30^{\circ}$ 3. $95^{\circ}$ 4. $70^{\circ}$
3.

In the given figure, if ABCD is a parallelogram, then the value of $2\angle&space;ABC&space;-&space;\angle&space;ADC$ is

1. $60^{\circ}$ 2. $80^{\circ}$ 3. $110^{\circ}$ 4. $70^{\circ}$
4.

In the given figure ABCD is a rhombus such that BD = 8 cm, find the length of BC.

$2\sqrt{6}$

1. $2\sqrt{6}$ 2. $4\sqrt{2}$ 3. $8\sqrt{2}$ 4. $6\sqrt{2}$
5.

In the figure, PQRS is a parallelogram in which $\angle&space;PSR&space;=&space;125^{\circ}$, $\angle&space;RQT$ is equal to ______.

1. $60^{\circ}$ 2. $45^{\circ}$ 3. $55^{\circ}$ 4. $85^{\circ}$
6.

In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively  given in the figure. Which of the following statement is true?

1. DP = DB/2 2. DP = DB/3 3. DP = 2DB/3 4. DP = DB/4
7.

Chooae the correct option:  In the given figure, ABCD is a parallelogram and AP, BP, CR and DR are the angle bisectors of $\angle&space;A,&space;\angle&space;B,&space;\angle&space;C&space;and&space;\angle&space;D$ respectively. Then, PQRS is _______.

1. Rhombus 2. Square 3. Rectangle 4. parallelogram
8.

Chooae the correct option:  In the given figure ABCD is a parallelogram where AP and CQ are the bisectors of $\angle&space;A$ and $\angle&space;C$. Then APCQ is a _______.

1. Rhombus 2. Square 3. Rectangle 4. Parallelogram
9.

In the figure, ABCD is a rhombus whose side AB is produced to points P and Q such that AP = AB = BQ.  PD and QC are produced to meet at a point R.  What is the value of $\angle&space;PRQ$?

1. $60^{\circ}$ 2. $45^{\circ}$ 3. $90^{\circ}$ 4. $30^{\circ}$
10.

In the figure, PQRS is a parallelogram whose diagonals intersect at O. Find the values of x.

1. $55^{\circ}$ 2. $40^{\circ}$ 3. $65^{\circ}$ 4. $35^{\circ}$

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