Class 9 Practice – Level 3 – Set 2 – Quadrilaterals

Total questions: 15

If the angles of a quadrilateral are x + x + 20°, x − 40° and 2x. Then, the difference between greatest angle and the smallest angle is .

Topic: Angles of a Quadrilateral

70°

80°

90°

None of these

None

In a quadrilateral ABCD, the bisectors of ∠A and ∠B meet at O. If ∠C = 80° and ∠D = 120°, then measure of ∠AOB is

Topic: Angle Bisectors in Quadrilaterals

40°

60°

80°

100°

None

Two parallel lines l and m are intersected by a transversal t. Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

Topic: Angle Bisectors and Properties of Parallel Lines

True

False

None

In the figure, ABCD is a parallelogram. If P and Q are points on AD and BC respectively such that AP = $ \displaystyle \dfrac{1}{3}$ AD and CQ = $ \displaystyle \dfrac{1}{3}$ BC, The AQCP is a parallelogram.

Topic: Properties of a Parallelogram

True

False

None

ABCD is a square. A line segment CX cuts AB at X and the diagonal BD at O such that ∠COD = 80° and ∠OXA = x°. Find the value of x

Topic: Angles in a Square and Properties of Diagonals

180°

90°

125°

None of these

None

The ABCD is a parallelogram whose diagonals intersect each other at O. A line segment EOF is drawn to meet AB at E and DC at F. The OE = OF.

Topic: Properties of a Parallelogram

Yes

None

An ABCD is a parallelogram in which ∠A = 60°. If the bisectors ∠A and ∠B meet DC at P, Then the AD = DP and PB = PC = BC

Topic: Angle Bisectors in Parallelograms

True

False

None

The ABCD is a parallelogram in which ∠A = 60°. If the bisectors ∠A and ∠B meet DC at P, The ∠APB = 90°

Topic: Angle Bisectors in Parallelograms

Yes ∠APB = 90°

No ∠APB $ \displaystyle \ne $ 90°

None

Two parallel lines l and m are intersected by a transversal t. that the quadrilateral formed by the bisectors of interior angles is a rectangle.

Topic: Angle Bisectors and Properties of Parallel Lines

True

False

None

10.

In the adjacent ABCD is a parallelogram and E is the midpoint of the side BC. If DE and AB are produced to meet at F, the AF = 2AB

Topic: Properties of a Parallelogram

True

False

None

11.

In parallelogram ABCD, points M and N have been taken on opposite sides AB and CD respectively such that AM = CN. So, the AC and MN bisect each other.

Topic: Properties of a Parallelogram

True

False

None

12.

ABCD is a trapezium in which AB ∥ DC and P,Q are the midpoints of AD and BC respectively. DQ and AB when produced to meed at E. Also, AC and PQ intersect at R. The PR ∥ AB

Topic: Properties of Trapezium

True

False

None

13.

A rectangular lawn, 75m by 60m, has two roads, each road 4m wide, running through the middle of the lawn, one parallel to length and the other parallel to breadth, as shown in the figure. Find the cost of gravelling the roads at 50 per $ \displaystyle {{m}^{2}}$.

Topic: Angles in a Rectangle

True

False

None

14.

ABCD is a trapezium in which AB ∥ CD. If ∠ADC = 2∠ABC, AD = acm and CD= bcm, then the length (in cm) of AB is :

Topic: Properties of Trapezium

$ \displaystyle \dfrac{a}{2}+2b$

a + b

$ \displaystyle \dfrac{2}{3}a+b$

$ \displaystyle a+\frac{2}{3}b$

None

15.

ABCD is a parallelogram and X and Y are points on the diagonal BD such that DX = BY. Then AXCY is a

Topic: Properties of a Parallelogram

Rectangle

Square

parallelogram

Rhombus

None

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Class 9 Practice – Level 3 – Set 2 – Quadrilaterals

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