Pythagorean Pre-Assessment

solve for c

• 7

• 9

• 4

• 13

• The diagonal is 15.59 cm
• The diagonal is 20.12 cm
• The diagonal is 21.43 cm
• The diagonal is 15.31 cm

To use the Pythagorean Theorem, the triangle MUST be what kind of triangle?

• obtuse

• scalene

• isosceles

• right

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.

What is the relationship between the sides in the Pythagorean Theorem shown?

• a + b = c

• a² + b² = c²

• a² – b² = c²

• a – b = c

Which equation is modeled by the picture shown?

• 3²+5²=4²

• 3²+4²=5²

• 5²+4²=3²

• 9²+16²=25²

To which shape(s) does the Pythagorean theorem apply?

• All triangles

• Right triangles only

• Some right triangles and some isosceles triangles 

• Right triangles and circles.

The Pythagorean theorem states that:

• The two smaller sides of a right triangle sum to equal the longest side.

• The squares of the two smaller sides of a right triangle sum to equal the square of the longest side.

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

Find the missing side

• 48

• 108

• 83.6

• 72