Properties of Shapes Quiz: Test Your Geometry Knowledge

Question 1

Which property does NOT belong to a rectangle?

Accepted Answer

All sides are equal in length

Answer

Four right angles

Answer

Opposite sides are parallel and equal

Answer

Diagonals bisect each other

Question 2

Calculate the area of a triangle with a base of 10 cm and a height of 5 cm.

Accepted Answer

12.5 cm²

Answer

20 cm²

Answer

25 cm²

Answer

50 cm²

Question 3

Which of the following is not a property that is specific to a circle?

Accepted Answer

Equal length sides

Answer

Equal length radii

Answer

Equal length diameters

Answer

Equal central angles

Question 4

A square has four congruent sides and four right angles. What is the sum of the interior angles of a square?

Accepted Answer

360 degrees

Answer

180 degrees

Answer

540 degrees

Answer

720 degrees

Question 5

A triangle having all three sides equal in length is known as:

Accepted Answer

Equilateral triangle

Answer

Isosceles triangle

Answer

Scalene triangle

Answer

Right-angled triangle

Question 6

Which of the following formulas is used to calculate the area of a circle?

Accepted Answer

A = πr²

Answer

A = 2πr³

Answer

A = 4πr

Answer

A = πd

Question 7

Which of these shapes is a polygon?

Accepted Answer

Square

Answer

Circle

Answer

Sphere

Answer

Cone

Question 8

Which of the following is NOT a property of a circle?

Accepted Answer

Equal sides

Answer

Equal radii

Answer

Equal angles

Answer

One line of symmetry

Question 9

A regular hexagon has how many sides?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 10

Which of the following shapes has rotational symmetry of order 4?

Accepted Answer

Square

Answer

Rectangle

Answer

Rhombus

Answer

Kite

Question 11

A cube has how many faces?

Accepted Answer

6

Answer

4

Answer

8

Answer

12

Question 12

The volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm is:

Accepted Answer

30 cm³

Answer

15 cm³

Answer

45 cm³

Answer

60 cm³

Question 13

Which of the following is a face of a cube?

Accepted Answer

Square

Answer

Triangle

Answer

Circle

Answer

Hexagon

Question 14

What is the volume of a rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 2 cm?

Accepted Answer

30 cubic cm

Answer

15 cubic cm

Answer

60 cubic cm

Answer

120 cubic cm

Question 15

Which of the following shapes has rotational symmetry of order 6?

Accepted Answer

Regular hexagon

Answer

Square

Answer

Regular octagon

Answer

Regular decagon

Question 16

What is the area of a circle with a radius of 4 cm?

Accepted Answer

16π square cm

Answer

8π square cm

Answer

32π square cm

Answer

64π square cm

Question 17

What is the lateral surface area of a cylinder with a radius of 5 cm and a height of 10 cm?

Accepted Answer

250π square cm

Answer

100π square cm

Answer

500π square cm

Answer

1000π square cm

Question 18

Which formula represents the area of a circle?

Accepted Answer

A = πr²

Answer

A = πρ²

Answer

A = 4πr²

Answer

A = 2πr²

Question 19

Find the surface area of a cube with a side length of 3 cm.

Accepted Answer

36 cm²

Answer

9 cm²

Answer

18 cm²

Answer

54 cm²

Question 20

Identify the property that does NOT apply to a square:

Accepted Answer

Unidirectional alignment of diagonals

Answer

Equal lengths for all sides

Answer

Right angles at all corners

Answer

Parallelism between opposite sides

Question 21

Provide the formula for calculating the volume of a cone:

Accepted Answer

V = (1/3)πr²h

Answer

V = πr²h

Answer

V = (4/3)πr³

Answer

V = (1/2)πr²h

Question 22

Name the shape formed when two circles intersect:

Accepted Answer

Lens

Answer

Chord

Answer

Diameter

Answer

Tangent

Question 23

State the Pythagorean theorem:

Accepted Answer

a² + b² = c²

Answer

a² - b² = c²

Answer

c² - a² = b²

Answer

b² - a² = c²

Question 24

Which of the following is NOT a property of a circle?

Accepted Answer

Equal sides

Answer

Equal radii

Answer

Constant distance from the center

Answer

Equal angles at the center

Question 25

Calculate the volume of a cuboid with a square base that has a length of 5 cm, a width of 3 cm, and a height of 2 cm.

Accepted Answer

30 cm³

Answer

15 cm³

Answer

60 cm³

Answer

120 cm³

Question 26

Which of the following shapes exhibits rotational symmetry of order 4?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Pentagon

Question 27

Which property does NOT apply to a circle?

Accepted Answer

It has four sides

Answer

It has exactly one axis of rotational symmetry

Answer

All radii are congruent

Question 28

What is the number of faces present on a cube?

Accepted Answer

6

Answer

12

Answer

4

Answer

8

Question 29

Which of the following transformations is not considered a similarity transformation?

Accepted Answer

Translation

Answer

Dilation

Answer

Rotation

Answer

Reflection

Question 30

What is the number of edges present on a regular octahedron?

Accepted Answer

12

Answer

8

Answer

10

Question 31

Which of the following is NOT a property of a circle?

Accepted Answer

It has four sides

Answer

It has one line of symmetry

Answer

It is a closed figure

Answer

It has a circumference

Question 32

What is the area of a triangle with a base of 6 cm and a height of 4 cm?

Accepted Answer

12 square cm

Answer

24 square cm

Answer

16 square cm

Answer

8 square cm

Question 33

Which of the following is a defining property of a square?

Accepted Answer

All sides are equal in length and all angles are right angles

Answer

Two opposite sides are equal in length and two opposite angles are right angles

Answer

All angles are equal in measure and only two sides are equal in length

Question 34

Which of the following 3D shapes has two circular faces and a curved surface?

Accepted Answer

Cylinder

Answer

Cone

Answer

Cube

Answer

Sphere

Question 35

What is the net of a triangular prism composed of?

Accepted Answer

Two triangles and three rectangles

Answer

Three triangles and one rectangle

Answer

Four triangles and two squares

Answer

Two squares and two rectangles

Question 36

What is the formula for the area of a circle?

Accepted Answer

πr²

Answer

πr/2

Answer

4πr

Answer

2πr

Question 37

Which of the following shapes is a regular polygon?

Accepted Answer

Square

Answer

Trapezoid

Answer

Parallelogram

Answer

Kite

Question 38

A cube has a side length of 4 cm. What is its volume?

Accepted Answer

64 cm³

Answer

128 cm³

Answer

16 cm³

Answer

32 cm³

Question 39

Which of the following is a defining characteristic of a cylinder?

Accepted Answer

Two circular bases

Answer

Square bases

Answer

Rectangular bases

Answer

Triangular bases