Pythagorean Theorem Comprehension Questions

How comfortable are you with understanding the Pythagorean Theorem?

• 1 - Very

• 2 - Comfortable

• 3 - Somewhat

• 4 - Not at all

What is the Pythagorean theorem about?

• The relationship between the angles of a triangle
• The relationship between the sides of a right triangle
• The properties of circles
• The properties of squares

James is studying geometry and comes across a theorem related to right-angled triangles. Who is this theorem named after?

• Euclid

• Pythagoras

• Aristotle

• Archimedes

In a right triangle, which side is known as the hypotenuse?

• The side opposite the right angle
• The longest side
• Both a and b
• The shortest side

• The sum of all angles in a triangle
• The area of a right triangle
• The Pythagorean theorem
• The perimeter of a triangle

Grace is helping her friend Abigail to hang a picture frame on the wall. She uses a carpenter's square to ensure the frame is perfectly aligned. What is the angle measurement that Grace should look for to confirm the frame is at a right angle?

• 45 degrees

• 90 degrees

• 60 degrees

• 180 degrees

David and Anika are building a ramp for their school project. They need to ensure the ramp forms a right triangle with the ground. Which of the following statements is true about the legs of the right triangle they are forming?

• They are always of equal length

• They are interchangeable when labeled

• They cannot be used in the Pythagorean theorem

• They are always the longest sides

Mia is building a ramp for her skateboard. If the base of the ramp is 3 meters and the height is 4 meters, what is the length of the ramp?

• 5

• 7

• 6

• 8

In the Pythagorean theorem, which letter represents the hypotenuse?

• a
• b
• c
• d

• Add 1

• Multiply by 2

• Take the square root

• Subtract 1