Pythagorean Theorem Converse Practice

If triangle KMP is a right triangle then what is the area of the shaded square?

• 159 in²

• 129 in²

• 66 in²

• 24 in²

Tags

CCSS.8.G.B.8

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

• 12 in²

• 144 in²

• 194 in²

• 13.9 in²

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.8

If the area of square b is 144 ft² and the length of side a is 5 ft, what is the area of square c?

• 169 ft²

• 13 ft²

• 12.2 ft²

• 10.9 ft²

Tags

CCSS.8.G.B.8

• yes, acute

• yes, right

• yes, obtuse

• no triangle can be formed

Tags

CCSS.7.G.A.2

Determine if a triangle can be formed with the given lengths. If so, classify the triangle.

• yes, acute

• yes, right

• yes, obtuse

• no triangle can be formed

Tags

CCSS.7.G.A.2

Find the value of x.

• 7

• 8

• 9

• 10

Tags

CCSS.8.G.B.7

Find the value of x.

• 36

• 12

• 16

• 25

Tags

CCSS.8.G.B.7

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Tags

CCSS.8.G.B.8

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

• 12 feet

• 13.9 feet

Tags

CCSS.8.G.B.8