Exploring the Pythagorean Theorem and Distance Calculation

What does the Pythagorean theorem relate to?

• The perimeter of squares

• The volume of cubes

• The sides of a right triangle

• The areas of circles

How is the distance between two points determined using the Pythagorean theorem?

• By measuring directly on the graph

• By calculating the area of a square

• By finding the hypotenuse of a right triangle

• By adding the coordinates

What is the square root of 25?

• 7

• 6

• 8

• 5

How do you find the length of side c in a right triangle?

• Square root of (a squared plus b squared)

• Square root of (a squared minus b squared)

• a squared plus b squared

• a squared minus b squared

What approximate value is the square root of 61?

• 8.1

• 7.5

• 7.8

• 8.5

What does the slope of a line represent?

• Sum of x and y changes

• Change in y over change in x

• Change in x over change in y

• Difference between x and y changes

How can the Pythagorean theorem be applied without plotting points?

• By comparing x and y values directly

• By drawing a circle

• By measuring the angles

• By calculating the area of the triangle

What is the length of side c when a = 9 and b = 12?

• 24

• 18

• 21

• 15

What is the change in x from -5 to 3?

• 2

• -2

• -8

• 8

What is the square root of 80 approximately?

• 8.5

• 9.1

• 9.0

• 8.9