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Pythagorean theorem and Quadratic Functions

Pythagorean theorem and Quadratic Functions

Assessment

Presentation

Mathematics

9th Grade

Hard

CCSS
8.G.B.7, 8.G.B.8

Standards-aligned

Created by

Sokhna Kabore

Used 1+ times

FREE Resource

5 Slides • 6 Questions

1

Pythagorean theorem and Quadratic Functions

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2

Pythagorean theorem

Review

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3

Multiple Choice

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

1

172+82=b217^2+8^2=b^2

2

82+b2=1728^2+b^2=17^2

3

172+b2=8217^2+b^2=8^2

4

82b2=172100\frac{8^2}{b^2}=\frac{17^2}{100}

4

Multiple Choice

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Level 3

Find the length of the missing side.

1

20 in.

2

68 in.

3

16 in.

4

80 in.

5

Multiple Choice

Level 1

The Pythagorean Theorem ONLY works on which triangle?

1

obtuse

2

scalene

3

isosceles

4

right

6

7

Multiple Choice

The hypotenuse of a right triangle is 10 inches. The longer leg is 2 inches more than the

shorter leg. What are the lengths of the two legs?

1

So one leg is 6 ft when the other one is 8 ft

2

So one leg is 5ft when the other one is 7 ft

3

So one leg is 7 ft when the other one is 9 ft

8

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9

Multiple Choice

Shay’s garden is in the shape of a right triangle. The hypotenuse is 15 feet, and the longer leg is 3 feet more

than the shorter leg. What are the lengths of the two legs?

1

The lengths of the legs of Shay’s triangular garden are 7 feet and 10 feet.

2

The lengths of the legs of Shay’s triangular garden are 8 feet and 11 feet.

3

The lengths of the legs of Shay’s triangular garden are 9 feet and 12 feet.

10

Multiple Choice

The longer leg of a right triangle is 7 inches more than the shorter leg, and the hypotenuse 8 inches more

than the shorter leg. What are the lengths of the three sides of the triangle?

1

The lengths of the sides of the triangle are 4 inches, 11 inches and 12 inches.

2

The lengths of the sides of the triangle are 5 inches, 12 inches and 13 inches.

3

The lengths of the sides of the triangle are 6 inches, 13 inches and 14 inches.

11

End of the lesson

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Pythagorean theorem and Quadratic Functions

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