Geometric Concepts and Properties Quiz

Challenge yourself with questions on triangles, circles, polygons, and more. Explore geometric concepts and properties in this quiz.

#1

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

90 degrees
180 degrees
270 degrees
360 degrees
#2

In a right-angled triangle, what is the length of the hypotenuse if the legs are 3 and 4 units long?

5 units
7 units
9 units
12 units
#3

If two angles of a triangle are 45 degrees and 75 degrees, what is the measure of the third angle?

30 degrees
60 degrees
90 degrees
120 degrees
#4

What is the perimeter of a rectangle with length 8 units and width 5 units?

18 units
26 units
36 units
40 units
#5

In a trapezoid, what is the sum of its interior angles?

180 degrees
360 degrees
540 degrees
720 degrees
#6

What is the area of a right-angled triangle with legs of length 6 units and 8 units?

12 square units
24 square units
30 square units
48 square units
#7

What is the formula for the volume of a cylinder?

V = πr
V = πr^2
V = 2πr
V = πr^2h
#8

What is the formula for the area of a circle?

A = πr
A = 2πr
A = πr^2
A = 2πr^2
#9

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

60 degrees
90 degrees
120 degrees
180 degrees
#10

What is the volume of a cube with a side length of 3 units?

9 cubic units
18 cubic units
27 cubic units
36 cubic units
#11

In a right-angled triangle, what is the length of the shorter leg if the longer leg is 10 units and the hypotenuse is 12 units?

6 units
8 units
9 units
15 units
#12

What is the sum of the exterior angles of a convex polygon?

90 degrees
180 degrees
360 degrees
540 degrees
#13

If a rectangular prism has dimensions 4 units by 5 units by 6 units, what is its volume?

60 cubic units
120 cubic units
180 cubic units
240 cubic units
#14

What is the sum of the angles in a hexagon?

180 degrees
360 degrees
540 degrees
720 degrees
#15

In a parallelogram, what is the relationship between opposite angles?

They are complementary
They are supplementary
They are congruent
They are equal
#16

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

A = πr
A = 2πr
A = 4πr^2
A = 4/3πr^3
#17

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

36 degrees
54 degrees
72 degrees
108 degrees
#18

What is the relationship between the radius and diameter of a circle?

Radius = Diameter
Radius = 2 * Diameter
Radius = 0.5 * Diameter
Radius = π * Diameter
#19

In a kite, how are the lengths of the two pairs of adjacent sides related?

They are equal
They are congruent
They are proportional
They are supplementary

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