Class 9 Practice – Level 2 – Set 1 – Quadrilaterals

Total questions: 25

In the adjoining figure, ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105° and ∠OXC = x°. Find the value of x.

Topic: Angles in a Square and Properties of Diagonals

None

In the adjoining figure, the side AC of △ABC is produced to E such that CE = $ \displaystyle \dfrac{1}{2}$AC. If D is the midpoint of BC and ED produced meets AB at F, and CP, DQ are drawn parallel to BA, then FD =

Topic: Properties of Triangles and Midpoints

$ \displaystyle FE$

$ \displaystyle \dfrac{1}{2}FE$

$ \displaystyle \dfrac{1}{3}FE$

$ \displaystyle \dfrac{1}{4}FE$

None

Three angles of a quadrilateral are 75°, 90° and 75°. Find the measure of the fourth angle.

Topic: Angles of a Quadrilateral

90°

120°

60°

30°

None

Find the measure of each angle of a parallelogram, if one of its angle is 30° less than twice the smallest angle.

Topic: Angles in a Parallelogram

60°, 45°

55°, 90°

70°, 110°

None of the above

None

If an angle of a parallelogram is four-fifths of its adjacent angle, find the angles of the parallelogram

Topic: Angles in a Parallelogram

100°

180°

90°

60°

None

In the figure, ABCD is a parallelogram in which ∠BAO = 35°, ∠DAO = 40° and ∠COD = 105°. Calculate ∠ABO.

Topic: Angles in a Parallelogram

180°

90°

40°

120°

None

The length of the diagonals of a rhombus are 24 cm and 18 cm. Find the length of each side of the rhombus

Topic: Properties of Rhombus

18 cm

15 cm

20 cm

10 cm

None

In the figure, ABCD is a parallelogram in which ∠BAO = 35°, ∠DAO = 40° and ∠COD = 105°. What is the value of ∠CBD

Topic: Angles in a Parallelogram

65°

90°

50°

180°

None

In the figures, ABCD is a rectangle. What is the values of x and y.

Topic: Properties of Rectangle

75°, 25°

60°, 30°

55°, 35°

105°, 135°

None

10.

In the figure, ABCD is a parallelogram in which ∠BAO = 35°, ∠DAO = 40° and ∠COD = 105°. Calculate ∠ACB

Topic: Angles in a Parallelogram

30°

40°

70°

90°

None

11.

In the adjoining figure, 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°, then the value of x is

Topic: Angles in a Square and Properties of Diagonals

125°

120°

130°

140°

None

12.

In the figure, 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

30°

60°

125°

55°

None

13.

The height of an equilateral triangle measures 9cm. Find its area, correct upto 2 places of decimal. Take $ \displaystyle \sqrt{3}=1.732$

Topic: Area of an Equilateral Triangle

$ \displaystyle 34.877c{{m}^{2}}$

$ \displaystyle 46.764c{{m}^{2}}$

$ \displaystyle 52.693c{{m}^{2}}$

$ \displaystyle 12.369c{{m}^{2}}$

None

14.

The difference between the semiperimeter and the sides of a ΔABC are 8cm, 7cm and 5cm respectively. Find the area of the triangle.

Topic: Heron's Formula for Area of a Triangle

$ \displaystyle 40\sqrt{{12}}$

$ \displaystyle 50\sqrt{{10}}$

$ \displaystyle 20\sqrt{{14}}$

$ \displaystyle 70\sqrt{{24}}$

None

15.

The difference between the lengths of the parallel sides of a trapezium is 8cm, the perpendicular distance between these sides is 24cm and the area of the trapezium is 312$ \displaystyle c{{m}^{2}}$ . Find the length of each of the parallel sides.

Topic: Area of a Trapezium

6cm, 17cm

9cm, 17cm

5cm, 4cm

12cm, 3cm

None

16.

The perimeter of a triangle is 50cm. One side of the triangle is 4cm longer than the smaller side and the third side is 6cm less than twice the smaller side. Find the area of the triangle.

Topic: Perimeter and Area of a Triangle

$ \displaystyle 40\sqrt{{15}}c{{m}^{2}}$

$ \displaystyle 30\sqrt{{10}}c{{m}^{2}}$

$ \displaystyle 20\sqrt{{30}}c{{m}^{2}}$

$ \displaystyle 10\sqrt{{14}}c{{m}^{2}}$

None

17.

A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120m and 44m. If one of the sides of the parallelogram measures 66m, find its corresponding altitude.

Topic: Area of Parallelogram and Rhombus

40m

10m

20m

50m

None

18.

Two sides of a triangular field are 85m and 154m in length and its perimeter is 324m. Find

Topic: Perimeter and Area of a Triangle

the area of the field and

the length of the perpendicular from the opposite vertex on the side measuring 154m.

None

19.

A floral design on a floor is made up of 16 tiles, each triangular in shape having sides 16cm, 12cm and 20cm. Find the cost of polishing the tiles at 1 per sq cm.

Topic: Area of a Triangle

₹3546

₹2385

₹1296

₹1536

None

20.

Find the area of a parallelogram ABCD in which AB = 14cm, BC = 10cm and AC = 16cm. (Given, $ \displaystyle \sqrt{3}$ =1.73.)

Topic: Angles in a Parallelogram

437.5$ \displaystyle c{{m}^{2}}$

138.4$ \displaystyle c{{m}^{2}}$

254.3$ \displaystyle c{{m}^{2}}$

163.9$ \displaystyle c{{m}^{2}}$

None

21.

The base of a triangular field is three times its altitude. If the cost of sowing the field at Rs. 58 per hectare is Rs. 783, find its base and height.

Topic: Area of a Triangle

900m

300m

250m

700m

None

22.

The sides of a triangle are in the ratio 5 : 12 : 13, and its perimeter is 150 m. Find the area of the triangle.

Topic: Area of a Triangle

$ \displaystyle 750c{{m}^{2}}$

$ \displaystyle 850c{{m}^{2}}$

$ \displaystyle 250c{{m}^{2}}$

$ \displaystyle 354c{{m}^{2}}$

None

23.

An umbrella is made by stitching 12 triangular pieces of cloth, each measuring (50cm × 20cm × 50cm).Find the area of the cloth used in it.

Topic: Area of a Triangle

$ \displaystyle 4201c{{m}^{2}}$

$ \displaystyle 5880c{{m}^{2}}$

$ \displaystyle 3697c{{m}^{2}}$

$ \displaystyle 2240c{{m}^{2}}$

None

24.

Find the area of a triangular field whose sides are 91m, 98m and 105m in length. Find the height corresponding to the longest sides.

Topic: Area of a Triangle

45.3m

46.2m

78.4m

96.5m

None

25.

The perimeter of an isosceles triangle is 32cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

Topic: Area of a Triangle

$ \displaystyle 38\sqrt{2}c{{m}^{2}}$

$ \displaystyle 12\sqrt{2}c{{m}^{2}}$

$ \displaystyle 32\sqrt{2}c{{m}^{2}}$

$ \displaystyle 40\sqrt{2}c{{m}^{2}}$

None

1 out of 25

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Class 9 Practice – Level 2 – Set 1 – Quadrilaterals

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