Class 8 Practice – Level 3 – Set 2 – Understanding Quadrilaterals

Total questions: 15

In a rhombus, if the length of one diagonal is $20$ cm and the other diagonal is $16$ cm, what is the area of the rhombus?

Topic: Diagonals of Quadrilaterals

200 cm²

160 cm²

180 cm²

320 cm²

None

In a trapezium, the lengths of the parallel sides are $15$ cm and $25$ cm, and the height is $10$ cm. What is the area of the trapezium?

Topic: Diagonals of Quadrilaterals

250 cm²

200 cm²

300 cm²

350 cm²

None

A polygon has $15$ sides. What is the sum of its interior angles?

Topic: Types of Polygons

2340°

2600°

2700°

2850°

None

What is the exterior angle of a regular polygon with $12$ sides?

Topic: Types of Polygons

$15^\circ$

$30^\circ$

$45^\circ$

$60^\circ$

None

If a quadrilateral is both a rectangle and a rhombus, what is the shape of the quadrilateral?

Topic: Special Quadrilaterals

Parallelogram

Square

Trapezium

Rhombus

None

In a parallelogram, the diagonals bisect each other at right angles. If the length of one diagonal is $24$ cm and the other diagonal is $32$ cm, what is the area of the parallelogram?

Topic: Properties of Parallelograms

512 cm²

384$\sqrt{3}$ cm²

384 cm²

384$\sqrt{2}$ cm²

None

In a quadrilateral ABCD, if $\angle A = 90^\circ$, $\angle B = 60^\circ$, and $\angle C = 105^\circ$, what is the measure of $\angle D$?

Topic: Types of Quadrilaterals

$105^\circ$

$75^\circ$

$90^\circ$

$100^\circ$

None

A regular polygon has $20$ sides. What is the sum of the exterior angles of this polygon?

Topic: Angles in Polygons

$180^\circ$

$360^\circ$

$540^\circ$

$720^\circ$

None

In a regular polygon, each interior angle measures $156^\circ$. How many sides does the polygon have?

Topic: Angles in Polygons

None

10.

In a rhombus, if one of the diagonals is $18$ cm and the other is $24$ cm, what is the length of the side of the rhombus?

Topic: Properties of Parallelograms

15 cm

12 cm

13 cm

10 cm

None

11.

If the diagonals of a rhombus are $12$ cm and $16$ cm, what is the area of the rhombus?

Topic: Properties of Parallelograms

96 cm²

128 cm²

144 cm²

160 cm²

None

12.

A quadrilateral is both a rectangle and a rhombus. What type of quadrilateral is it?

Topic: Special Quadrilaterals

Square

Parallelogram

Trapezium

Kite

None

13.

If one of the diagonals of a rhombus is $20$ cm and the other is $24$ cm, what is the area of the rhombus?

Topic: Special Quadrilaterals

240 cm²

250 cm²

230 cm²

240$\sqrt{2}$ cm²

None

14.

In a parallelogram, if the length of one diagonal is $30$ cm and the other is $40$ cm, and the diagonals bisect each other at an angle of $60^\circ$, what is the area of the parallelogram?

Topic: Diagonals of Quadrilaterals

600 cm²

650 cm²

700 cm²

750 cm²

None

15.

In a quadrilateral, if the sum of the lengths of the two diagonals is $100$ cm, and the angle between them is $90^\circ$, what is the area of the quadrilateral if one diagonal is $40$ cm?

Topic: Diagonals of Quadrilaterals

1200 cm²

800 cm²

600 cm²

400 cm²

None

1 out of 15

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Class 8 Practice – Level 3 – Set 2 – Understanding Quadrilaterals

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