# Worksheet on Quadrilateral

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**Choose the correct answer:**

**1. Which is not a parallelogram.**

a) Square b) Rectangle c) Rhombus d) Kite

**2. The diagonals of a rectangle ABCD intersect at O. If ∠BOC = 44**

^{0}, then ∠OADa) 58

^{0}b) 68

^{0}c) 64

^{0}d) 62

^{0}

**3. D and E are the mid points of the sides AB and AC of ΔABC and O is any point on side BC.O is joined to A. If P and Q are the mid points of OB and OC respectively, then DEQP is**

a) a square b) a rectangle c) a rhombus d) a parallelogram.

**4. The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is**

a) 36

^{0}b) 30

^{0}c) 24

^{0}d) 100

^{0}

**5. The diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is**

a) 55

^{0}b) 50

^{0}c) 40

^{0}d) 25

^{0}

**6. In parallelogram ABCD, bisectors of angles A & B intersects each other at O. The value of ∠AOB is**

a) 30

^{0}b) 60

^{0}c) 90

^{0}d) 120

^{0}

**7. Find the measures of all the angles of a parallelogram, if one angle is 24**

^{0}less than twice the smallest angle.**8. In ΔABC. AB = 5cm, BC = 8cm, and CA = 7cm. If D and E are respectively the mid-points of AB and BC. Find the perimeter of the ΔBDE.**

**9. In a parallelogram ABCD, the bisector of ∠A also bisects BC at X. Prove that AD = 2AB.**

**10. In the given figure, ABC is a triangle, AD is a median and E is a mid-point of AD. BE is joined and produced to intersect AC in a point F.**

Prove that AF = AC

Prove that AF = AC

**Worksheet on quadrilateral**

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