*assignment_return*Course Name:Lumos StepUp - SBAC Online Practice And Assessments - Grade 8 Mathematics

*assignment_return*Worksheet:
Verifying The Pythagorean Theorem

Standard(s): 8.G.B.6

Find the approximate length of the diagonal of a rectangular plot whose length is 50 and width is 25.

A

55

B

56

C

57

D

58

## Standard: 8.G.B.6

## Domain: Geometry

## Theme: Understand and apply the Pythagorean Theorem

## Description: Explain a proof of the Pythagorean Theorem and its converse.

What is the missing number from the following Pythagorean triple?

51, __, 85

A

61

B

63

C

65

D

68

## Standard: 8.G.B.6

## Domain: Geometry

## Theme: Understand and apply the Pythagorean Theorem

## Description: Explain a proof of the Pythagorean Theorem and its converse.

Find the diagonal of a rectangle which has a length of 32 and width of 24.

A

20

B

30

C

40

D

50

## Standard: 8.G.B.6

## Domain: Geometry

## Theme: Understand and apply the Pythagorean Theorem

## Description: Explain a proof of the Pythagorean Theorem and its converse.

Find the value of x.

A

5 ft

B

6 ft

C

7 ft

D

8 ft

## Standard: 8.G.B.6

## Domain: Geometry

## Theme: Understand and apply the Pythagorean Theorem

## Description: Explain a proof of the Pythagorean Theorem and its converse.

A Pythagorean triple is a set of three positive integers a, b, and c that satisfy the equation a^{2} + b^{2} = c^{2}. Which of the following is a Pythagorean triple?

A

a = 3, b = 6, c = 9

B

a = 6, b = 9, c = 12

C

a = 9, b = 12, c = 15

D

a = 12, b = 15, c = 18