Cluster 7 Review: Pythagorean Theorem and Volume

Level 1

The Pythagorean Theorem works on which triangle?

• obtuse

• scalene

• isosceles

• right

• all triangles

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.C.6

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

• 6

• 7

• 3

• 49

• 9

Tags

CCSS.8.G.B.8

Level 2

Solve for the value of y

• 13

• 5

• 23

• 10

Tags

CCSS.8.G.B.7

Level 3

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Tags

CCSS.8.G.B.7

Level 4

Solve for x.

• 38.9

• 40.2

• 45.6

• 54

Tags

CCSS.8.G.B.7

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

• Divide both sides by 2
• Take the square root of both sides

Tags

CCSS.8.EE.A.2

The Pythagorean Theorem is

a² - b² = c²

• false

• true

Tags

CCSS.8.G.B.8

Would a triangle with these side lengths be a right triangle?
4, 5, 6

• Yes
• No

Tags

CCSS.8.G.B.8

Side c on a right triangle is ALWAYS the longest.

• true

• false

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Sides a and b are called legs.

• true

• false