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Over Lesson 10–5 A. yes B. no Determine whether BC is tangent to the given circle. ___ A. A B. B

Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

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Page 1: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Over Lesson 10–5

A. yes

B. no

Determine whether BC is tangent to the given circle.___

A. A

B. B

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Page 2: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Over Lesson 10–5

A. yes

B. no

Determine whether QR is tangent to the given circle.___

A. A

B. B

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Page 3: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Over Lesson 10–5

A. A

B. B

C. C

D. D

12

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

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Page 4: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Over Lesson 10–5

A. A

B. B

C. C

D. D

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

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Page 5: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Over Lesson 10–5

A. A

B. B

C. C

D. D

SL and SK are tangent to the circle. Find x.______

5

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Page 6: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

• Find measures of angles formed by lines intersecting on or inside a circle.

• Find measures of angles formed by lines intersecting outside the circle.

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Page 7: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

• secant—A line that intersects a circle in two points.

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Page 8: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B
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Page 9: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B
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Page 10: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Use Intersecting Chords or Secants

A. Find x.

Theorem 10.12

Substitution

Simplify.

Answer: x = 82

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Page 11: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Use Intersecting Chords or Secants

B. Find x.

Theorem 10.12

Substitution

Simplify.

Step 1 Find mVZW.

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Page 12: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Use Intersecting Chords or Secants

Step 2 Find mWZX.

WZX = 180 – VZW Definition of supplementaryangles

x = 180 – 79 Substitution

x = 101 Simplify.

Answer: x = 101

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Page 13: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

C. Find x.

Theorem 10.12

Substitution

Multiply each side by 2.

Use Intersecting Chords or Secants

Subtract 25 from each side.

Answer: x = 95

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Page 14: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

A. A

B. B

C. C

D. D

98

A. Find x.

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Page 15: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

A. A

B. B

C. C

D. D

95

B. Find x.

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Page 16: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

A. A

B. B

C. C

D. D

104

C. Find x.

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Page 17: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B
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Page 18: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Use Intersecting Secants and Tangents

A. Find mQPS.

Theorem 10.13

Substitute and simplify.

Answer: mQPS = 125

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Page 19: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

B.

Theorem 10.13

Use Intersecting Secants and Tangents

Substitution

Multiply each side by 2.

Answer:

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Page 20: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

A. A

B. B

C. C

D. D

112.5

A. Find mFGI.

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Page 21: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

A. A

B. B

C. C

D. D

162

B.

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Page 22: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B
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Page 23: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Use Tangents and Secants that Intersect Outside a Circle

A.

Theorem 10.14

Substitution

Multiply each side by 2.

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Page 24: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Use Tangents and Secants that Intersect Outside a Circle

Subtract 141 from each side.

Multiply each side by –1.

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Page 25: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Use Tangents and Secants that Intersect Outside a Circle

B.

Theorem 10.14

Substitution

Multiply each side by 2.

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Page 26: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Use Tangents and Secants that Intersect Outside a Circle

Add 140 to each side.

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Page 27: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

A. A

B. B

C. C

D. D

23

A.

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Page 28: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

A. A

B. B

C. C

D. D

230

B.

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Page 29: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Apply Properties of Intersecting Secants

Theorem 10.14

Substitution

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Page 30: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

Apply Properties of Intersecting Secants

Multiply each side by 2.

Subtract 96 from each side.

Multiply each side by –1.

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Page 31: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B

A. A

B. B

C. C

D. D

40

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Page 32: Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B
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