Geometric Reasoning and Proof Quiz

Challenge yourself with questions on parallelograms, right-angled triangles, similar triangles, circles, polygons, and more. Put your geometry knowledge to the test!

#1

Which of the following is a property of a parallelogram?

All angles are right angles
Opposite sides are equal in length
Diagonals are not equal
All sides are of different lengths
#2

What is the Pythagorean theorem?

a² = b² + c²
a² = b² - c²
a² + b² = c²
a² - b² = c²
#3

Which geometric figure has all sides equal in length and all angles equal to 90 degrees?

Rhombus
Square
Rectangle
Parallelogram
#4

What is the sum of the angles in any triangle?

90 degrees
180 degrees
360 degrees
720 degrees
#5

Which statement is true for a rhombus?

All angles are right angles
All sides are equal in length
Diagonals are of different lengths
Opposite sides are not parallel
#6

In a right-angled triangle, what is the relationship between the squares of the two legs and the square of the hypotenuse?

They are all equal
Sum of the squares of legs is equal to the square of the hypotenuse
Difference of the squares of legs is equal to the square of the hypotenuse
Product of the squares of legs is equal to the square of the hypotenuse
#7

Which statement is true about similar triangles?

They have different angles
Their corresponding sides are equal
Their corresponding angles are equal
They have equal perimeter
#8

In a circle, what is the relationship between the radius and the diameter?

Diameter = 2 * Radius
Diameter = Radius
Diameter = Radius / 2
Diameter = Radius²
#9

What is the formula for the area of a trapezoid?

(base1 + base2) * height / 2
(base1 - base2) * height / 2
(base1 + base2) * height
(base1 - base2) * height
#10

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

90 degrees
180 degrees
360 degrees
540 degrees
#11

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

90 degrees
180 degrees
360 degrees
720 degrees
#12

If a triangle is equilateral, what can be said about its angles?

All angles are acute
All angles are obtuse
All angles are right angles
All angles are equal
#13

In a right-angled triangle, what is the relationship between the acute angles?

They are complementary
They are supplementary
They are equal
No specific relationship
#14

What is the formula for the circumference of a circle?

2 * π * radius
π * radius²
2 * π * radius²
π * diameter
#15

What is the relationship between opposite angles in a cyclic quadrilateral?

They are complementary
They are supplementary
They are equal
No specific relationship

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