Pythagorean Theorem Quiz

What is a theorem?

• A statement that has been proven to be true

• A geometric relationship between the three sides of a triangle

• A right triangle with legs 'a' and 'b'

• A smart dude who lived in ancient Greece

What type of triangle does the Pythagorean Theorem apply to?

• Isosceles triangle

• Right triangle

• Scalene triangle

• Equilateral triangle

What is the hypotenuse of a right triangle?

• The side that forms the right angle

• The side that touches the right angle

• The side opposite the right angle

• The longest side

What does the Pythagorean Theorem state?

• 'a squared' times 'b squared' equals 'c squared'

• 'a squared' divided by 'b squared' equals 'c squared'

• 'a squared' minus 'b squared' equals 'c squared'

• 'a squared' plus 'b squared' equals 'c squared'

What is the relationship between the lengths of the legs and the hypotenuse in the Pythagorean Theorem?

• The sum of the squares of the legs equals the square of the hypotenuse

• The difference of the squares of the legs equals the square of the hypotenuse

• The product of the squares of the legs equals the square of the hypotenuse

• The quotient of the squares of the legs equals the square of the hypotenuse

What is the length of the hypotenuse in a '3, 4, 5 triangle'?

• 5

• 7

• 9

• 11

What is the length of the hypoteneuse a right triangle with legs lengths 2 cm and 3 cm?

• 5 cm

• 6 cm

• 7 cm

• Square root of 13 cm

What is the length of the unknown leg in a right triangle with one leg lenth of 4 m and hypoteneuse of 6 m?

• 12 m

• 10 m

• 8 m

• Square root of 20 m

What is the length of the diagonal of a unit square? (a unit square is a square with a side length of 1)

• 3

• 4

• Square root of 2

• 2

How can the Pythagorean Theorem be used to test if a triangle is a right triangle? (Two correct answers!)

• Plug the lengths of all three sides into the theorem and check if it holds true

• Measure the lengths of the two shorter sides and check if their squares add up to the square of the longest side

• Measure the angles of the triangle and check if one is 90 degrees