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CBSE Class 9 Mathematics Worksheet

Unit 4-Geometry - Quadrilaterals

1.

Choose the correct option:  In a rectangle PQRS, diagonals PR and QS intersect at O. If PO = 5 cm, then the length of the diagonal QS is equal to _________.

A) 4 cm B) 5 cm C) 10 cm D) 2.5 cm
2.

Choose the correct option:  Bisectors of a parellologram form ________.

A) Square B) Rhombus C) Rectangle D) Trapezium
3.

Choose the correct option:  In a quadrilateral three angles are in the ratio 3 : 3 : 1 and one of the angles is , then other angles are _______.

 

A) B) C) D) None of these
4.

ABCD is rectangle with and . Find  

A) B) C) D)
5.

One angle of a quadrilateral is of and the remaining three angles are equal. Find each of the three equal angles.

6.

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

7.

Choose the correct option:  In an equilateral triangle XYZ, M and N are the mid points of sides XY and XZ respectively. Then length of MN is _______.

A) XY B) 2XY C) XY/2 D) 3XY/2
8.

Fill in the blanks:  The ratio of adjacent angles of a parallelogram is 1:2, then the largest angle is  _______.

 

A) B) C) D)
9.

Choose the correct option:  A quadrilateral is a kite if _______.

A) Both pairs of opposite sides are equal B) Two pairs of sides are of equal length C) Both pairs of opposite angles are equal D) None of these
10.

Choose the correct option:  If DEFG is a parallelogram, then ∠E  – ∠F is equal to ___________.

 

A) B) C) D)
11.

Fill in the blanks:  PQRS is a rhombus such that . Then is ______.

 

A) B) C) D)
12.

Chooae the correct option:  In the given figure ABCD is a parallelogram where AP and CQ are the bisectors of  and . Then APCQ is a _______.

A) Rhombus B) Square C) Rectangle D) Parallelogram
13.

State True/False:  If a quadrilateral formed by joining the mid points of the adjacent sides of quadrilateral ABCD is a rectangle, then diagonals AC and BD intersect at right angle.

A) True B) False
14.

Fill in the blanks:  If the each side in a square is 6cm, then the length of its diagonal is _______.

15.

Chooae the correct option:  In the given figure, ABCD is a parallelogram and AP, BP, CR and DR are the angle bisectors of respectively. Then, PQRS is _______.

A) Rhombus B) Square C) Rectangle D) parallelogram
16.

Every parallelogram is a trapezuim.

A) True B) False
17.

What is the special name can be given to quadrilateral whose sum of its adjacent angles is 180°?

A) Rhombus B) Rectangle C) Trapezium D) Kite
18.

In , P, Q and R are mid-points of sides BC, CA and AB respectively. If AC = 10 cm, BC = 6 cm and AB = 8 cm, find the perimeter of the quadrilateral ARPQ.

19.

State True/False:  In any quadrilateral, the um of the length of four sides exceeds the sum of the length of its diagonals.

A) True B) False
20.

Two opposite angles of a parallelogram are and . Find the value of x.

A) 15 B) 13 C) 12 D) 11

CBSE Class 9 Mathematics Worksheet

Unit 4-Geometry - Quadrilaterals

Answers

1.
Option C
2.
Option C
3.
Option B
4.
Option A

5.

6.

4 cm

7.
Option C
8.
Option A
9.
Option B
10.
Option D
11.
Option B
12.
Option D
13.
Option A

14.

15.
Option C
16.
Option A
17.
Option C

18.

18 cm

19.
Option A
20.
Option B

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