Class 8 Practice – Level 2 – Set 1 - Understanding Quadrilaterals

Total questions: 25

How many diagonals does a hexagon have?

Topic: Types of Polygons

None

If the interior angle of a regular polygon is $144^\circ$, how many sides does the polygon have?

Topic: Types of Polygons

None

Which polygon has an interior angle sum of $1260^\circ$?

Topic: Types of Polygons

Decagon

Nonagon

Octagon

Heptagon

None

What is the measure of each interior angle of a regular decagon?

Topic: Angles in Polygons

$108^\circ$

$144^\circ$

$135^\circ$

$120^\circ$

None

If the measure of each exterior angle of a regular polygon is $40^\circ$, what is the number of sides of the polygon?

Topic: Angles in Polygons

None

In a regular polygon, the ratio of each interior angle to each exterior angle is 5:1. How many sides does the polygon have?

Topic: Angles in Polygons

None

Which of the following statements about a kite is false?

Topic: Types of Quadrilaterals

It has one line of symmetry.

It has both pairs of opposite angles equal.

It has two pairs of adjacent sides that are equal.

The diagonals intersect at right angles.

None

In a trapezium, the sum of the two non-parallel sides is:

Topic: Types of Quadrilaterals

Equal to the sum of the two parallel sides

Equal to half the sum of the two parallel sides

Greater than the sum of the two parallel sides

Less than the sum of the two parallel sides

None

A quadrilateral has opposite sides equal and all angles are right angles. It can best be classified as a:

Topic: Types of Quadrilaterals

Parallelogram

Rhombus

Square

Rectangle

None

10.

In a parallelogram, if one of the angles is $100^\circ$, what is the measure of each of the remaining three angles?

Topic: Properties of Parallelograms

$120^\circ$, $100^\circ$, $120^\circ$

$80^\circ$, $100^\circ$, $120^\circ$

$80^\circ$, $100^\circ$, $80^\circ$

$90^\circ$, $90^\circ$, $90^\circ$

None

11.

Which property is true for all parallelograms?

Topic: Properties of Parallelograms

All sides are equal

All angles are equal

Opposite sides are equal

Diagonals are perpendicular

None

12.

A square is always a rectangle, but a rectangle is not always a square because:

Topic: Special Quadrilaterals

All sides of a square are equal.

A rectangle has opposite sides equal.

A square has four right angles.

The diagonals of a square are equal.

None

13.

Which of these is true about a rhombus?

Topic: Special Quadrilaterals

Diagonals are equal

Opposite angles are supplementary

Adjacent sides are equal

Diagonals bisect each other at right angles

None

14.

The diagonals of which of the following quadrilaterals do not bisect each other?

Topic: Diagonals of Quadrilaterals

Parallelogram

Rhombus

Rectangle

Trapezium

None

15.

If the diagonals of a parallelogram are equal, then it must be a:

Topic: Diagonals of Quadrilaterals

Rectangle

Rhombus

Square

Trapezium

None

16.

In a quadrilateral, three angles are $110^\circ$, $80^\circ$, and $95^\circ$. What is the measure of the fourth angle?

Topic: Angle Measures in Quadrilaterals

$70^\circ$

$85^\circ$

$75^\circ$

$90^\circ$

None

17.

If two angles of a parallelogram are $70^\circ$ and $110^\circ$, then the other two angles must be:

Topic: Angle Measures in Quadrilaterals

$70^\circ$ and $110^\circ$

$80^\circ$ and $100^\circ$

$90^\circ$ each

$85^\circ$ each

None

18.

If one of the diagonals of a parallelogram is $10$ cm long and the other is $8$ cm long, which of the following must be true about the parallelogram?

Topic: Properties of Parallelograms

It is a rhombus.

The diagonals bisect each other.

The diagonals are perpendicular.

It is a rectangle.

None

19.

In a parallelogram, if one angle is $60^\circ$, what is the measure of the adjacent angle?

Topic: Properties of Parallelograms

$60^\circ$

$180^\circ$

$90^\circ$

$120^\circ$

None

20.

Which of the following is a property of the diagonals of a rhombus?

Topic: Properties of Parallelograms

They are perpendicular.

They are equal.

Both (1) and (4)

They bisect the angles of the rhombus.

None

21.

Which quadrilateral has all sides of equal length but only one pair of parallel sides?

Topic: Special Quadrilaterals

Rectangle

Parallelogram

Square

Rhombus

None

22.

Which of the following statements is true for a rectangle but not for a square?

Topic: Special Quadrilaterals

All sides are equal.

Opposite sides are equal.

All angles are right angles.

Diagonals are equal.

None

23.

In a rhombus, if one diagonal is $14$ cm and the other is $24$ cm, what is the area of the rhombus?

Topic: Special Quadrilaterals

$168$ cm²

$168$ cm

$336$ cm²

$196$ cm²

None

24.

Which quadrilateral has diagonals that are of unequal length and bisect each other at right angles?

Topic: Diagonals of Quadrilaterals

Square

Rectangle

Rhombus

Kite

None

25.

The diagonals of which quadrilateral bisect each other at right angles?

Topic: Diagonals of Quadrilaterals

Parallelogram

Square

Rhombus

Kite

None

1 out of 25

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Class 8 Practice – Level 2 – Set 1 - Understanding Quadrilaterals

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