Pythagorean Theorem, Converse and Distance Between Two Points Review

What is the converse of the Pythagorean Theorem?

• If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths other two sides, then that triangle is a right triangle.

• If a triangle is a right triangle, then the square of the length of the longest side is equal to the sum of the squares of the other two sides.

• The square of the length of the longest side is not equal to the sum of the squares of the other two sides.

• The Pythagorean theorem only applies to equilateral triangles.

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CCSS.8.G.B.8

Which set of side lengths would form a right triangle?

• 6, 9, 12

• 8, 10, 12

• 9, 40, 41

• 5, 10, 12

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CCSS.8.G.B.8

A rectangular high jump pit is 25 feet long and 10 feet wide. Which of these is closest to the diagonal distance across the pit?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

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CCSS.8.G.B.8

Which of these is closest to the length of PQ?

• 10.9 units

• 13 units

• 2.4 units

• 169 units

Tags

CCSS.6.G.A.3

Find the missing side lengths.

• a = 4, b = 4

• a = 4, b = 2√2

• a = 2√2,  b = 4

• a = 4, b = 4

Tags

CCSS.HSG.SRT.C.8

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

Tags

CCSS.8.G.B.8

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

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CCSS.HSG.SRT.C.8

To find the distance between two points, you can use the Distance Formula, which is similar to using the _________.

• Pythagorean Theorem

• Converse of the Pythagorean Theorem

• Midpoint Formula

• Slope-Intercept Form

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CCSS.HSG.GPE.B.7

Find the exact length of the segment.

• 7.8

• 6

Tags

CCSS.6.G.A.3

Find the approximate distance from J to K.

• 8.2

• 7.7

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CCSS.HSG.GPE.B.7