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Geometry Section 8-3B Geometry Section 8-3B

Angles formed by Angles formed by Secants and TangentsSecants and Tangents

Page 584Page 584

23 Possible

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Vocabulary:Vocabulary:

Tangent-Secant Angle

Pg.589

Angles can be formed by a combination of secants and tangents.

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Vocabulary:Vocabulary:

Tangent-Tangent Angle

Pg.589

Angles can be formed by a combination of secants and tangents.

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Vocabulary:Vocabulary:

Secant-Secant Angle

Pg.589

Angles can be formed by a combination of secants and tangents.

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Theorems:Theorems:

Pg.590

The measure of a tangent-secant angle is ½ the difference of the two

intercepted arcs.

mADC = ½(mAC – mBC)

((

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Theorems:Theorems:

Pg.590

The measure of a tangent-tangent angle is ½ the difference of the two

intercepted arcs.

mQTS = ½(mQRS – mQS)

((

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Theorems:Theorems:

Pg.592

The measure of a secant-secant angle is ½ the difference of the two

intercepted arcs.

mCAD = ½(mCD – mBE)

((

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Try It:Try It:

Pg.589

Find the measure VWY.

24o

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Try It:Try It:

Pg.589

Find mXZ.

50o

(

Find the measure VWZ.

32o

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Exercises:Exercises:

#2

Pg.591

Find the measure of the numbered angle.

51o

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Exercises:Exercises:

#3

Pg.591

Find the measure of the numbered angle.

47.5o

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Exercises:Exercises:

#4

Pg.591

Find the measure of the numbered angle.

54o

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Exercises:Exercises:

#5

Pg.591

Find the measure of the numbered angle.

148o

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Exercises:Exercises:

#9

Pg.591

Find the measure of the angle or arc.

28o

If mAC = 152o, find mABC.

(

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Exercises:Exercises:

#10

Pg.591

Find the measure of the angle or arc.

68o

If mADC = 248o, find mABC.

(

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Exercises:Exercises:

#11

Pg.591

Find the measure of the angle or arc.

mADC = 224o

If mABC = 44o, find mAC and mADC.

((mAC = 136o

((

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Exercises:Exercises:

#11

Pg.591

Find the measure of the angle or arc.

(180 – x)o

If mAC = xo, find mABC in terms of x.

(

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Homework: Practice 8-3B

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