Geometric Relationships and Proofs Quiz

Challenge yourself with questions on triangle angles, circle theorems, polygon properties & more. Test your geometry skills now!

#1

In a triangle, what is the sum of the interior angles?

90 degrees
180 degrees
270 degrees
360 degrees
#2

What is the measure of each interior angle of a regular hexagon?

90 degrees
120 degrees
135 degrees
150 degrees
1 answered
#3

What is the measure of the central angle of a circle if it subtends an arc of 90 degrees?

30 degrees
45 degrees
60 degrees
90 degrees
1 answered
#4

What is the formula to calculate the area of a circle?

πr
πr^2
2πr
πr/2
1 answered
#5

In a right triangle, what is the relationship between the squares of the lengths of the two shorter sides and the square of the length of the hypotenuse?

They are equal
The sum of the squares of the two shorter sides equals the square of the hypotenuse
The difference of the squares of the two shorter sides equals the square of the hypotenuse
There is no relationship
#6

In a parallelogram, what can be said about the opposite sides and angles?

Opposite sides are equal, opposite angles are equal
Opposite sides are equal, opposite angles may or may not be equal
Opposite sides may or may not be equal, opposite angles are equal
Opposite sides and angles are not related
#7

What is the name of the theorem that states in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides?

Pythagoras' Theorem
Fermat's Last Theorem
Euler's Formula
Newton's Law of Universal Gravitation
#8

Which of the following is NOT a congruence criterion for triangles?

SSS (Side-Side-Side)
SAS (Side-Angle-Side)
AAA (Angle-Angle-Angle)
ASA (Angle-Side-Angle)
1 answered
#9

Which of the following statements about similar triangles is true?

They have congruent corresponding angles and proportional corresponding sides
They have congruent corresponding angles but not necessarily proportional corresponding sides
They have proportional corresponding sides but not necessarily congruent corresponding angles
They have neither congruent corresponding angles nor proportional corresponding sides
1 answered
#10

If two triangles are similar, what can you say about their corresponding angles and corresponding sides?

Corresponding angles are equal, corresponding sides are proportional
Corresponding angles are equal, corresponding sides may or may not be proportional
Corresponding angles may or may not be equal, corresponding sides are proportional
Corresponding angles may or may not be equal, corresponding sides may or may not be proportional
#11

If two polygons are similar, what is the relationship between their perimeters?

They are equal
They are proportional
They have no relationship
Cannot be determined
#12

In a circle, what is the relationship between the lengths of an inscribed angle and its intercepted arc?

They are equal
They are proportional
There is no relationship
They are inversely proportional
1 answered

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