Topic 8-2 Converse of the Pythagorean Theorem

Topic 8-2 Converse of the Pythagorean Theorem

School Year 2021-2022

Let's start with a few review problems though...

You ready???

Multiple Select

The graph shows y as a function of x. For which intervals is the function decreasing? Select ALL that apply.

• −7 < x < -3

• -3 < x < -1

• -1 < x < 1

• 1 < x < 3

• 3 < x < 5

Fill in the Blank

1.) A system of equations is shown. In the system of equations, what is the value of y?

Multiple Choice

The graph represents y as a function of x. Which additional point can be plotted so that the graph continues to represent y as a function of x?

• (0, 0)

• (2, 2)

• (3, 4)

• (4, 2)

Ok, now that that's over...let's enter the world of Pythagorean Theorem!

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Multiple Choice

What is the Pythagorean Theorem?

• a² + b² = c²

• a² = c² + b²

• a² - b² = c²

• a + b = c

Multiple Choice

Which sides are the legs?

• b and c

• a and c

• a and b

• c

Multiple Choice

The longest side of a right triangle is called...

• the long leg

• the hypotenuse

• the hippo

• the coefficient

Fill in the Blank

2.) Find the missing side length.

Fill in the Blank

3.) Find the missing side length.

Multiple Choice

4.) A triangle is inside a trapezoid. Is the triangle a right triangle?

• Yes

• No

• Not Enough Information

Multiple Choice

5.) Which triangle is a right triangle?

• Triangle 1 only

• Triangle II only

• Triangle I and Triangle II

• Neither Triangle I nor Triangle II

Multiple Choice

What is the distance between the two points shown? Round to the nearest tenth if necessary.

• 6.7

• 7.2

• 8.6

• 10.2

Multiple Choice

What is the distance between the two points shown? Round to the nearest tenth if necessary.

• 6.6

• 9.5

• 9.8

• 11.2