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Pythagorean Theorem and Circles

Pythagorean Theorem and Circles

Assessment

Presentation

Mathematics

8th - 10th Grade

Medium

CCSS
HSG.C.A.2, 8.G.B.7, 8.G.B.8

+2

Standards-aligned

Created by

Gillian McGalliard

Used 17+ times

FREE Resource

9 Slides • 15 Questions

1

Pythagorean Theorem & Circles

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2

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3

Multiple Choice

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

1

9

2

40

3

41

4

Multiple Choice

Question image

Find the length of the missing side.

1

13 cm

2

17 cm

3

15 cm

4

20 cm

5

Multiple Choice

Do the segment lengths 9, 12, and 15 form a right triangle?

1

Yes

2

No

6

Open Ended

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Find the length of the missing side.

7

Multiple Choice

Given the 3 lengths of a triangle are 6 in, 8 in, and 9 in. Will this make a right triangle?

1

yes

2

no

8

QUICK CHECK


9

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10

Multiple Choice

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What is this called?

1

Tangent Line

2

Secant

3

Chord

4

Diameter

11

Multiple Choice

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What is the diameter?

1

8

2

16

3

10

4

4

12

Multiple Choice

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What is this called?

1

Chord

2

Minor arc

3

Secant

4

Diameter

13

Multiple Choice

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This is a picture of ___________.

1

Chord

2

Diameter

3

Radius

4

Inscribed Angle

14

Multiple Choice

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What is the radius?

1

18

2

72

3

38

4

14

15

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16

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17

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18

Multiple Choice

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Find x. Assume that segments that appear to be tangent are tangent.

1

11.2

2

18.0

3

25.0

4

30.0

19

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20

Multiple Choice

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In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

1

15

2

6

3

-24

4

14

21

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22

Multiple Choice

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What is the value of x if both segments are tangent to the circle?

1

A

2

B

3

C

4

D

23

Multiple Choice

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What is the value of x?

1

22

2

25

3

15

4

20

24

Multiple Choice

Question image

Assume that all the lines that appear tangent are tangent. Find the perimeter of the triangle.

1

54

2

36

3

48

4

42

Pythagorean Theorem & Circles

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