Geometry Quizzes: Test Your Knowledge of Shapes and Properties

Question 1

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

Accepted Answer

All angles are right angles.

Answer

Opposite sides are parallel.

Answer

Diagonals are congruent and bisect each other.

Question 2

What shape has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Question 3

What is the name given to a polygon with six sides?

Accepted Answer

Hexagon

Answer

Heptagon

Answer

Octagon

Question 4

Which formula is used to calculate the circumference of a circle?

Accepted Answer

C = 2πr

Answer

C = πr²

Answer

C = πd

Question 5

What is the term for a two-dimensional representation of a cube's surfaces?

Accepted Answer

Net

Answer

Plan

Answer

Solid model

Question 6

What theorem states that the sum of the interior angles of a triangle is 180 degrees?

Accepted Answer

Triangle Sum Theorem

Answer

Law of Sines

Answer

Pythagorean Theorem

Question 7

Which property describes a parallelogram?

Accepted Answer

Opposite sides are parallel and equal.

Answer

Diagonals bisect each other.

Answer

All angles are equal.

Question 8

What is the volume of a sphere with a radius of 4 units?

Accepted Answer

(4/3)π * 4³

Answer

π * 4³

Answer

(1/3)π * 4³

Question 9

Identify the characteristic that is NOT true for a parallelogram:

Accepted Answer

Its diagonals are always congruent.

Answer

Its opposite sides are parallel.

Answer

Its diagonals bisect each other.

Answer

Its opposite angles are congruent.

Question 10

Calculate the area of a triangle with a base length of 8 centimeters and a height of 6 centimeters:

Accepted Answer

24 square centimeters

Answer

36 square centimeters

Answer

12 square centimeters

Answer

48 square centimeters

Question 11

Determine the volume of a rectangular prism with a length of 5 centimeters, a width of 3 centimeters, and a height of 2 centimeters:

Accepted Answer

30 cubic centimeters

Answer

15 cubic centimeters

Answer

90 cubic centimeters

Answer

60 cubic centimeters

Question 12

Which formula is used to calculate the circumference of a circle?

Accepted Answer

C = 2πr

Answer

C = 4πr

Answer

C = πr²

Question 13

Identify the type of triangle that has two equal sides:

Accepted Answer

Isosceles triangle

Answer

Scalene triangle

Answer

Equilateral triangle

Question 14

Classify the following shape: Sphere

Accepted Answer

3-D shape

Answer

2-D shape

Answer

1-D shape

Question 15

Calculate the area of a trapezoid with bases of 10 centimeters and 12 centimeters, and a height of 8 centimeters:

Accepted Answer

88 square centimeters

Answer

128 square centimeters

Answer

48 square centimeters

Answer

176 square centimeters

Question 16

Identify the property of a rhombus that is incorrect:

Accepted Answer

All sides are perpendicular to each other

Answer

All sides are equal in length

Answer

Diagonals bisect each other at right angles

Answer

Opposite angles are equal

Question 17

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

Accepted Answer

40 cm²

Answer

20 cm²

Answer

80 cm²

Answer

60 cm²

Question 18

Determine the volume of a cube with a side length of 5 cm:

Accepted Answer

125 cm³

Answer

65 cm³

Answer

15 cm³

Answer

25 cm³

Question 19

Identify the regular polygon from the following options:

Accepted Answer

Square

Answer

Trapezoid

Answer

Rectangle

Answer

Parallelogram

Question 20

Identify the 3-dimensional shape from the following options:

Accepted Answer

Sphere

Answer

Triangle

Answer

Circle

Answer

Square

Question 21

Which quadrilateral has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Rhombus

Answer

Trapezoid

Question 22

Which of the following is NOT a property of circles?

Accepted Answer

It has parallel sides

Answer

It has a circumference

Answer

It has a diameter

Answer

It has a radius

Question 23

Which of the following shapes is three-dimensional?

Accepted Answer

Sphere

Answer

Circle

Answer

Square

Answer

Triangle

Question 24

What is the formula for calculating the volume of a cone?

Accepted Answer

(1/3)πr²h

Answer

(4/3)πr³

Answer

πr²h

Answer

2πrh

Question 25

What is the Pythagorean theorem?

Accepted Answer

a² + b² = c²

Answer

a / b = c

Answer

a * b = c

Answer

a - b = c

Question 26

Which transformation involves moving a shape along a straight line without flipping or turning it?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 27

What is the Pythagorean theorem?

Accepted Answer

a² + b² = c²

Answer

a³ + b³ = c³

Answer

a + b = c

Answer

a² - b² = c²

Question 28

Which of the following is a unit of area?

Accepted Answer

Square meter

Answer

Liter

Answer

Centimeter

Answer

Kilogram

Question 29

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

Accepted Answer

2

Answer

4

Answer

3

Answer

1

Question 30

Which of the following is a type of angle?

Accepted Answer

Acute angle

Answer

Circle

Answer

Sphere

Answer

Triangle

Question 31

Which property does NOT belong to a circle?

Accepted Answer

It has four sides

Answer

It has a center point

Answer

It is a closed figure

Answer

It can be divided into equal parts

Question 32

Which formula represents the area of a triangle?

Accepted Answer

1/2 * base * height

Answer

length * width

Answer

base + height

Answer

π * radius^2

Question 33

What is the name of the line segment connecting two vertices of a polygon?

Accepted Answer

Segment

Answer

Line

Answer

Arc

Answer

Ray

Question 34

Which transformation maintains the original shape and size of a figure?

Accepted Answer

Translation

Answer

Reflection

Answer

Dilation

Answer

Rotation

Question 35

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

Accepted Answer

30 cubic cm

Answer

60 cubic cm

Answer

15 cubic cm

Question 36

Name the theorem that states that the sum of interior angles of a triangle equals 180 degrees.

Accepted Answer

Triangle Sum Theorem

Answer

Pythagorean Theorem

Answer

Exterior Angle Theorem

Answer

Angle Bisector Theorem

Question 37

Which characteristic describes a parallelogram?

Accepted Answer

Opposite sides are parallel and congruent

Answer

Diagonals bisect each other

Answer

All angles are equal

Answer

It has rotational symmetry

Question 38

What is the area of a triangle with a base of 10 centimeters and a height of 8 centimeters?

Accepted Answer

40 cm²

Answer

80 cm²

Answer

20 cm²

Answer

50 cm²

Question 39

Which of the following is a property of a circle?

Accepted Answer

All points on the circle are the same distance from the center.

Answer

It has a sharp corner.

Answer

It has parallel lines.

Answer

It has four sides.

Question 40

Which of these is a type of angle?

Accepted Answer

Acute angle

Answer

Rectangle

Answer

Square

Answer

Triangle

Question 41

What is the measure of a straight angle?

Accepted Answer

180 degrees

Answer

360 degrees

Answer

90 degrees

Answer

270 degrees

Question 42

Which of the following is a property of a parallelogram?

Accepted Answer

Its opposite sides are parallel.

Answer

It is a regular polygon.

Answer

It has four equal sides.

Answer

It has two pairs of congruent angles.

Question 43

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

Accepted Answer

360 degrees

Answer

270 degrees

Answer

180 degrees

Answer

450 degrees

Question 44

What is the name of a triangle where all three sides are the same length?

Accepted Answer

Equilateral triangle

Answer

Scalene triangle

Answer

Isosceles triangle

Answer

Right triangle

Question 45

A square has sides that are each 8 centimeters long. What is the area of this square?

Accepted Answer

64 cm²

Answer

16 cm²

Answer

32 cm²

Answer

8 cm²

Question 46

A circle has a diameter of 10 centimeters.  What is the length of its radius?

Accepted Answer

5 cm

Answer

10 cm

Answer

2.5 cm

Answer

20 cm

Question 47

Which of these is a true statement about a parallelogram?

Accepted Answer

Opposite sides are parallel

Answer

All angles are right angles

Answer

Diagonals are perpendicular

Answer

All sides are equal

Question 48

A cube has sides that are each 3 centimeters long. What is the volume of this cube?

Accepted Answer

27 cm³

Answer

18 cm³

Answer

81 cm³

Answer

9 cm³

Question 49

Two angles are called complementary if their sum is:

Accepted Answer

90 degrees

Answer

360 degrees

Answer

180 degrees

Answer

270 degrees

Question 50

A trapezoid has one pair of parallel sides. How many pairs of parallel sides does a parallelogram have?

Accepted Answer

Two

Answer

One

Answer

None

Answer

Three

Question 51

A rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. What is its surface area?

Accepted Answer

94 cm²

Answer

120 cm²

Answer

30 cm²

Answer

60 cm²