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

What is the length of the hypotenuse, C?

Fill in the Blanks

Find the length of the hypotenuse, C.

Use the Pythagorean Thoerem: $a^2+b^2=c^2$  

Poll

​

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