Pythagorean Theorem Quiz Review

The Pythagorean Theorem (a² + b² = c²) will only work for what kind of triangle?

• Acute triangle (angles less than 90 degrees)

• Right triangle (one angle that is 90 degrees)

• Obtuse triangle (one angle that is more than 90 degrees)

• Any kind of triangle

Every right triangle has two shorter sides that form the 90 degree angle called the...

• Legs

• Hypotenuses

• Shoulders

• Tangents

Every right triangle has a longest side opposite the right angle and is often drawn slanted, called the...

• Leg

• Hypotenuse

• Shoulder

• Tangent

According to the flowchart for using the Pythagorean Theorem, if the missing side is a hypotenuse, what should be done to the two squares?

• Add the two squares.

• Subtract the two squares.

• Multiply the two squares.

• Divide the two squares.

According to the flowchart for using the Pythagorean Theorem, if the missing side is a leg, what should be done to the two squares?

• Add the two squares.

• Subtract the two squares.

• Multiply the two squares.

• Divide the two squares.

What is the value of x?

• 12

• $\sqrt{12}$ or 3.46

• 18

• $\sqrt{18}$ or 4.24

What is the value of x?

• 17

• $\sqrt{17}$ or 4.12

• 14.9

• $\sqrt{149}$ or 12.21

Suppose the lengths of the sides of a triangle are 3, 5, and 7. Is this triangle a right triangle?

• Yes

• No

What is the distance between the points (3, 4) and (6, 8)? (Hint: The Distance Formula is as below.)

 $D=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$  

• 2

• 3

• 4

• 5

When solving for the distance between (1, 5) and (3, 7), do you have to use the Distance Formula?

 $D=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$  

• Yes, because the coordinates are given.

• No, because you can also use the Pythagorean Theorem after drawing the two points.