Geometry Quizzes: Test Your Knowledge of Shapes and Properties

Question 1

In photography, similar triangles play a crucial role. How do photographers use similar triangles to determine camera settings and achieve desired image compositions?

Accepted Answer

Calculate the distance to an object based on a known height in the scene.

Accepted Answer

Select the appropriate lens focal length for the desired field of view and perspective.

Answer

Similar triangles are not used in photography.

Answer

Adjust lighting and contrast using mathematical ratios.

Question 2

What is the area of a rectangle with a length of 6 cm and a width of 4 cm?

Accepted Answer

24 cm2

Answer

10 cm2

Answer

16 cm2

Answer

36 cm2

Question 3

Which type of angle measures less than 90 degrees?

Accepted Answer

Acute angle

Answer

Right angle

Answer

Obtuse angle

Answer

Reflex angle

Question 4

What is the radius of a circle with a diameter of 10 cm?

Accepted Answer

5 cm

Answer

10 cm

Answer

15 cm

Answer

20 cm

Question 5

Which of the following is a type of angle that measures more than 90 degrees?

Accepted Answer

Obtuse angle

Answer

Acute angle

Answer

Right angle

Answer

Straight angle

Question 6

How many lines of symmetry does a square have?

Accepted Answer

4

Answer

1

Answer

2

Answer

8

Question 7

What is the circumference of a circle with a radius of 5 cm?

Accepted Answer

10π cm

Answer

5 cm

Answer

15 cm

Answer

25 cm

Question 8

Which of the following is a polygon?

Accepted Answer

A shape made up of only straight sides

Answer

A shape made up of only curved sides

Answer

A shape made up of both straight and curved sides

Answer

A shape with no sides

Question 9

Which line divides a shape into two equal parts?

Accepted Answer

Line of symmetry

Answer

Perpendicular bisector

Answer

Parallel line

Answer

Tangent line

Question 10

Which of the following is a three-dimensional shape?

Accepted Answer

Cube

Answer

Circle

Answer

Square

Answer

Triangle

Question 11

Which of the following is considered a regular polygon?

Accepted Answer

A polygon with both equal sides and equal angles

Answer

A polygon with equal side lengths

Answer

A polygon with equal angles

Answer

A polygon with no equal sides or angles

Question 12

Which quadrilateral has only one pair of parallel sides?

Accepted Answer

Trapezoid

Answer

Rectangle

Answer

Rhombus

Answer

Parallelogram

Question 13

What is the measure of an angle that is perpendicular?

Accepted Answer

90 degrees

Answer

30 degrees

Answer

45 degrees

Answer

180 degrees

Question 14

How many sides does a hexagon have?

Accepted Answer

6

Answer

4

Answer

5

Answer

8

Question 15

Calculate the area of a triangle with a base of 10 cm and a height of 8 cm.

Accepted Answer

40 cm²

Answer

10 cm²

Answer

20 cm²

Answer

80 cm²

Question 16

Which of the following is a regular polygon?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Trapezoid

Question 17

Which quadrilateral has only two pairs of parallel sides?

Accepted Answer

Trapezium

Answer

Rhombus

Answer

Parallelogram

Answer

Rectangle

Question 18

What is the name of the angle formed when two radii meet at the center of a circle?

Accepted Answer

Central angle

Answer

Reflex angle

Answer

Sector angle

Answer

Tangent angle

Question 19

Which polygon has all sides equal and all angles equal?

Accepted Answer

Regular polygon

Answer

Trapezoid

Answer

Isosceles triangle

Answer

Scalene triangle

Question 20

What is the total measure of the interior angles of a triangle?

Accepted Answer

180 degrees

Answer

270 degrees

Answer

360 degrees

Answer

90 degrees

Question 21

What is the radius of a circle with a diameter of 10 centimeters?

Accepted Answer

5 centimeters

Answer

10 centimeters

Answer

15 centimeters

Answer

20 centimeters

Question 22

Which of the following defines congruent triangles?

Accepted Answer

Triangles with the same shape and size

Answer

Triangles with different shapes and different sizes

Answer

Triangles with the same shape but different sizes

Answer

Triangles with different shapes but same sizes

Question 23

What is the main defining property of a parallelogram?

Accepted Answer

A quadrilateral with two pairs of parallel sides

Answer

A quadrilateral with two pairs of perpendicular sides

Answer

A quadrilateral with four equal sides

Answer

A quadrilateral with four right angles

Question 24

Which of the following is the correct formula for the perimeter of a rectangle?

Accepted Answer

2(length + width)

Answer

(length + width)/2

Answer

length + width

Question 25

What is the volume of a cube with a side length of 4 cm?

Accepted Answer

64 cm³

Answer

48 cm³

Answer

16 cm³

Answer

32 cm³

Question 26

What is the sum of the interior angles of a quadrilateral?

Accepted Answer

360 degrees

Answer

180 degrees

Answer

450 degrees

Answer

270 degrees

Question 27

Which of the following is the correct formula for the area of a triangle?

Accepted Answer

½ base x height

Answer

base x height

Answer

(base + height)/2

Answer

base - height

Question 28

What is the Pythagoras' theorem?

Accepted Answer

a² + b² = c²

Answer

a² + c² = b²

Answer

c² - a² = b²

Answer

a² - b² = c²

Question 29

What type of triangle has two sides that are the same length?

Accepted Answer

Isosceles triangle

Answer

Equilateral triangle

Answer

Scalene triangle

Answer

Right triangle

Question 30

Which of these is a feature of a circle?

Accepted Answer

It has one center point.

Answer

It has two lines that cross inside it.

Answer

It has three lines of symmetry.

Answer

It has four corners.

Question 31

Which of these shapes always has four right angles?

Accepted Answer

Rectangle

Answer

Rhombus

Answer

Trapezium

Answer

Parallelogram

Question 32

What do we call a triangle where all sides are the same length?

Accepted Answer

Equilateral triangle

Answer

Right-angled triangle

Answer

Scalene triangle

Answer

Isosceles triangle

Question 33

A circle with a radius of 5 cm has a diameter of:

Accepted Answer

10 cm

Answer

25 cm

Answer

5 cm

Answer

2.5 cm

Question 34

Two angles are vertically opposite if they share a:

Accepted Answer

Vertex (corner point)

Answer

Side

Answer

Line

Answer

Plane

Question 35

In a right-angled triangle, the longest side is called the:

Accepted Answer

Hypotenuse

Answer

Median

Answer

Base

Answer

Perpendicular

Question 36

A square with sides of 6 cm has a perimeter of:

Accepted Answer

24 cm

Answer

36 cm

Answer

6 cm

Answer

12 cm

Question 37

Triangles that have the same shape but different sizes are called:

Accepted Answer

Similar triangles

Answer

Congruent triangles

Answer

Equilateral triangles

Answer

Isosceles triangles

Question 38

A triangle with two sides of equal length is called an:

Accepted Answer

Isosceles triangle

Answer

Equilateral triangle

Answer

Right-angled triangle

Answer

Scalene triangle

Question 39

What is the total measure of the interior angles of a triangle?

Accepted Answer

180 degrees

Answer

270 degrees

Answer

90 degrees

Answer

360 degrees

Question 40

Which shape has the most sides: a pentagon, a square, or a triangle?

Accepted Answer

Pentagon

Answer

Square

Answer

Triangle

Question 41

The point where two or more line segments meet is called a:

Accepted Answer

Vertex

Answer

Angle

Answer

Side

Answer

Radius

Question 42

Which formula calculates the area of a circle?

Accepted Answer

πr^2

Answer

πr

Answer

4/3πr^3

Answer

2πr

Question 43

A line segment connecting two opposite corners of a quadrilateral is called a:

Accepted Answer

Diagonal

Answer

Side

Answer

Vertex

Answer

Angle

Question 44

Which type of angle is larger than a right angle?

Accepted Answer

Obtuse

Answer

Acute

Answer

Reflex

Answer

Straight

Question 45

A 3D shape with two circular faces is called a:

Accepted Answer

Cylinder

Answer

Cone

Answer

Sphere

Answer

Cube

Question 46

What is a true statement about parallelograms?

Accepted Answer

Opposite sides are parallel

Answer

Is a regular quadrilateral

Answer

Has four right angles

Answer

Has four equal sides