Geometry Section 8-3B Angles formed by Secants and Tangents Page 584
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Transcript of Geometry Section 8-3B Angles formed by Secants and Tangents Page 584
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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
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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
Quiz ThursdayTest Friday