Pythagorean Theorem Review

Pythagorean Theorem Review

By Courtney Birrenkott

Multiple Choice

What is a theorem?

• A theory.

• An idea in math that can be proven by logical explanation.

• An idea that is not true.

• I'm sorry. I was not paying attention, but I am now!

Multiple Choice

The Pythagorean Theorem only works for what type of triangle?

• Right Triangles

• Acute Triangles

• Obtuse Triangles

• All Triangles

Multiple Choice

How many squares are in each block?

• 3, 4, and 5

• 6, 8, and 10

• 9, 16, and 25

Open Ended

What do you notice about the relationship between the number of squares in each block? Is there a math sentence that is true involving 9, 16, and 25?

Multiple Choice

• Perimeter of the square

• Area of the square

Fill in the Blanks

Fill in the Blanks

Poll

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How could we find the distance of segment AB?

• Count the distance diagonally.

• Measure the distance with a ruler and hope for the best.

• Draw a right triangle, using AB as the hypotenuse, and use the Pythagorean Theorem.

• I don't see a right triangle so we can't use the Pythagorean Theorem.

​A ruler and the Pythagorean Theorem are our only options. However, if a figure is not drawn to scale, a ruler won't work.

​

So Pythagorean Theorem it is! ​

Open Ended

How did I turn segment AB into a right triangle?

How do we know it is a right triangle?

How did I find the lengths of each leg (drawn in red)?

Multiple Choice

Find the length of segment AB, the hypotenuse of the right triangle.

$$a^2+b^2=c^2$$  

• 74 units

• $$\sqrt[]{74}=8.6$$ units

• $$\sqrt[]{24}=4.9$$ units

• 12 units