Geometric Applications of Exponents: Part One Review

Geometric Applications of Exponents: Part One Review

Perfect Squares

Any whole number times itself creates a perfect square.

Multiple Select

Which of the following numbers are perfect squares? Check all that apply.

• 50

• 100

• 80

• 36

• 44

Parts of a Right Triangle

Can you name these parts?

Fill in the Blanks

The Pythagorean Theorem

What do you know about the Pythagorean Theorem?

Multiple Choice

The Pythagorean Theorem can only be used when working with this shape.

• Any Triangle

• An equilateral triangle

• A parallelogram

• A right triangle

Multiple Select

The HYPOTENUSE is... (Check all that apply)

• the shortest leg of the triangle

• the longest leg of the triangle

• the 2 legs that connect to form the right angle

• the side opposite the right angle

Pythagorean Triples

A Pythagorean Triple is a set of three numbers that when put into the Pythagorean Theorem create a true sentence.

IS IT A RIGHT TRIANGLE?

How can you tell if three lengths make a RIGHT Triangle?

Multiple Choice

Which of the following lengths form a Pythagorean Triple? (Use your calculator to help you!)

• 5, 6, 7

• 7, 24, 25

• 8, 15, 20

Find the missing length.

The missing length is the hypotenuse (or "c") Use the Pythagorean Theorem.

Fill in the Blanks

How do you find the distance between two points when given a visual representation?

Remember that you can construct a right triangle and then use the Pythagorean Theorem to find the hypotenuse.

Also remember that you can use the distance formula to find the distance between two points.

Fill in the Blanks