over lesson 10–5 5-minute check 1 a.yes b.no determine whether bc is tangent to the given circle....
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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
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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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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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Over Lesson 10–5
A. A
B. B
C. C
D. D
Find x. Assume that segments that appear to be tangent are tangent.
![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](https://reader035.vdocuments.us/reader035/viewer/2022081519/56649f1c5503460f94c3206e/html5/thumbnails/5.jpg)
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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• 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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• secant—A line that intersects a circle in two points.
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Use Intersecting Chords or Secants
A. Find x.
Theorem 10.12
Substitution
Simplify.
Answer: x = 82
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Use Intersecting Chords or Secants
B. Find x.
Theorem 10.12
Substitution
Simplify.
Step 1 Find mVZW.
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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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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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Use Intersecting Secants and Tangents
A. Find mQPS.
Theorem 10.13
Substitute and simplify.
Answer: mQPS = 125
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B.
Theorem 10.13
Use Intersecting Secants and Tangents
Substitution
Multiply each side by 2.
Answer:
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Use Tangents and Secants that Intersect Outside a Circle
A.
Theorem 10.14
Substitution
Multiply each side by 2.
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Use Tangents and Secants that Intersect Outside a Circle
Subtract 141 from each side.
Multiply each side by –1.
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Use Tangents and Secants that Intersect Outside a Circle
B.
Theorem 10.14
Substitution
Multiply each side by 2.
![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](https://reader035.vdocuments.us/reader035/viewer/2022081519/56649f1c5503460f94c3206e/html5/thumbnails/26.jpg)
Use Tangents and Secants that Intersect Outside a Circle
Add 140 to each side.
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Apply Properties of Intersecting Secants
Theorem 10.14
Substitution
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Apply Properties of Intersecting Secants
Multiply each side by 2.
Subtract 96 from each side.
Multiply each side by –1.