Class 8 Practice – Level 3 – Set 1 – Understanding Quadrilaterals

Total questions: 15

In a quadrilateral ABCD, if $\angle A = 90^\circ$, $\angle B = 120^\circ$, and $\angle C = 75^\circ$, what is the measure of $\angle D$?

Topic: Angle Measures in Quadrilaterals

$75^\circ$

$65^\circ$

$85^\circ$

$95^\circ$

None

The exterior angle of a regular polygon is $36^\circ$. How many sides does the polygon have?

Topic: Angle Measures in Quadrilaterals

None

In a convex quadrilateral, if the sum of two opposite angles is $250^\circ$, what is the sum of the remaining two angles?

Topic: Angle Measures in Quadrilaterals

$110^\circ$

$120^\circ$

$130^\circ$

$140^\circ$

None

If a quadrilateral has all sides equal and opposite angles equal, which type of quadrilateral can it be?

Topic: Types of Quadrilaterals

Square

Parallelogram

Rhombus

Rectangle

None

In a rectangle, the length of the diagonals is 25 cm, and the length of one side is 15 cm. What is the length of the other side?

Topic: Types of Quadrilaterals

22 cm

24 cm

18 cm

20 cm

None

What is the area of a rhombus if its diagonals are 12 cm and 16 cm?

Topic: Types of Quadrilaterals

72 cm²

96 cm²

100 cm²

80 cm²

None

In a parallelogram ABCD, if $\angle A = 70^\circ$, what is the measure of $\angle C$?

Topic: Properties of Parallelograms

$70^\circ$

$50^\circ$

$130^\circ$

$110^\circ$

None

In a rhombus, if one diagonal measures $16$ cm and the other diagonal measures $30$ cm, what is the length of one of its sides?

Topic: Properties of Parallelograms

18 cm

20 cm

24 cm

22 cm

None

In a cyclic quadrilateral, if two opposite angles are $(x+20)^\circ$ and $(2x-10)^\circ$, find the value of $x$.

Topic: Angle Measures in Quadrilaterals

None

10.

In a parallelogram, if the diagonals bisect each other at $90^\circ$ and one diagonal is $20$ cm, what is the area of the parallelogram?

Topic: Diagonals of Quadrilaterals

80 cm²

100 cm²

120 cm²

60 cm²

None

11.

Which of the following quadrilaterals has diagonals that are not only equal but also perpendicular to each other?

Topic: Special Quadrilaterals

Square

Rhombus

Parallelogram

Rectangle

None

12.

If the diagonals of a quadrilateral bisect each other at right angles, and one diagonal is $12$ cm and the other is $16$ cm, what is the area of the quadrilateral?

Topic: Types of Quadrilaterals

96 cm²

96$\sqrt{2}$ cm²

96$\sqrt{3}$ cm²

128 cm²

None

13.

In a parallelogram, if one diagonal measures $26$ cm and the other diagonal measures $30$ cm, and the diagonals bisect each other at an angle of $60^\circ$, what is the area of the parallelogram?

Topic: Properties of Parallelograms

390 cm²

420 cm²

460 cm²

480 cm²

None

14.

In a parallelogram, the sum of the adjacent angles is $200^\circ$. What is the measure of the other two angles?

Topic: Properties of Parallelograms

$80^\circ$ each

$90^\circ$ each

$60^\circ$ each

$50^\circ$ each

None

15.

In a quadrilateral ABCD, the sum of the interior angles is $360^\circ$. If the measure of $\angle A = 120^\circ$, $\angle B = 90^\circ$, and $\angle C = 70^\circ$, find the measure of $\angle D$.

Topic: Angle Measures in Quadrilaterals

80°

60°

100°

110°

None

1 out of 15

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Class 8 Practice – Level 3 – Set 1 – Understanding Quadrilaterals

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