Pythagorean Pre-Assessment

On what kind of figure do we apply the Pythagorean Theorem?

• Circle

• Hexagon

• Square

• Triangle

The Pythagorean Theorem is

a² + b³ = c⁴

• false

• true

Find the length of the missing side.

• 17 cm

• 22 cm

• 15 cm

• 13 cm

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

Find the length of the missing side.

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Do the segment lengths 15, 12, and 9 form a right triangle?

• Yes

• No

• Maybe

• Pythagoras

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Solve for the walkway length

• 30

• 40

• 58

• 35

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.

• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

• The difference of the areas of the two smaller squares is equal to the area of the large square.

• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.