Geometric Shapes and Relationships Quiz

Test your geometry knowledge with 25 questions on shapes, angles, and formulas. From triangles to spheres, challenge yourself!

#1

What is the sum of interior angles in a triangle?

90 degrees
180 degrees
270 degrees
360 degrees
#2

Which of the following is NOT a type of quadrilateral?

Square
Rectangle
Equilateral
Parallelogram
#3

Which of the following shapes has all sides of equal length and all angles equal?

Triangle
Square
Rectangle
Rhombus
#4

What is the formula for the perimeter of a rectangle?

Length x Width
2 x (Length + Width)
Length + Width
Length^2 + Width^2
#5

What is the name of a three-dimensional figure with a circular base and a curved surface?

Cylinder
Sphere
Cone
Prism
#6

What is the measure of one exterior angle of a regular hexagon?

30 degrees
45 degrees
60 degrees
90 degrees
#7

What is the name of a polygon with five sides?

Pentagon
Hexagon
Octagon
Decagon
#8

What is the measure of one exterior angle of a regular pentagon?

36 degrees
45 degrees
60 degrees
72 degrees
#9

What is the measure of one interior angle of a regular heptagon?

128.57 degrees
140 degrees
150 degrees
160 degrees
#10

What is the name of a polygon with nine sides?

Nonagon
Decagon
Octagon
Dodecagon
#11

What is the formula for the area of a circle?

πr
πr^2
2πr
2πr^2
#12

A hexagon has how many sides?

Four
Five
Six
Seven
#13

What is the sum of the angles in a pentagon?

180 degrees
360 degrees
540 degrees
720 degrees
#14

What is the name of a quadrilateral with only one pair of parallel sides?

Square
Rectangle
Trapezoid
Parallelogram
#15

Which of the following shapes has at least one pair of opposite sides that are parallel and equal in length?

Rhombus
Kite
Trapezoid
Pentagon
#16

What is the formula for the surface area of a sphere?

4πr^2
2πr
πr^2
πr
#17

What is the name of a polygon with six sides?

Pentagon
Hexagon
Octagon
Decagon
#18

What is the sum of the interior angles in a nonagon?

1260 degrees
1350 degrees
1440 degrees
1530 degrees
#19

What is the measure of one exterior angle of a regular octagon?

22.5 degrees
30 degrees
45 degrees
60 degrees
#20

What is the name of a polygon with ten sides?

Decagon
Nonagon
Octagon
Dodecagon
#21

What is the measure of one interior angle in a regular pentagon?

90 degrees
108 degrees
120 degrees
144 degrees
#22

What is the formula for the volume of a cube?

Length x Width
2 x (Length + Width)
Length^3
Length^2 + Width^2
#23

A regular octagon has how many sides?

Six
Seven
Eight
Nine
#24

What is the name of a polygon with twelve sides?

Dodecagon
Hexagon
Octagon
Decagon
#25

What is the sum of the interior angles in a dodecagon?

1440 degrees
1800 degrees
1980 degrees
2160 degrees

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