tuesday, november 5 th
DESCRIPTION
Tuesday, November 5 th. Warm Up. Find 1. mKLM 2. mMNJ. Vocab Review. Fill in the Blank. A secant line cross the circle _________times. Tangent line touches the circle _________. A chord has both __________ on the circle The diameter is ________the length of the radius. Central - PowerPoint PPT PresentationTRANSCRIPT
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Tuesday, November 5th
WARM UPFind
1. mKLM
2. mMNJ
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Vocab Review
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Fill in the Blank• A secant line cross the circle
_________times. • Tangent line touches the circle
_________. • A chord has both __________ on the
circle• The diameter is ________the length
of the radius
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CentralAngles
HWANSWERS
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Inscribed Angles
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P
A
B
Central ANGLE = ARC
Case I: Central Angle: Vertex isAT the center
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Case II: Inscribed Angle: Vertex is ON circle
ANGLE = ARC
2ANGLE
ARCANGLE
ARC
This means division!!
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2
ArcdIntercepteAngleInscribed
160
80
The arc is twice as big as the angle!!
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120
x
y
Find the value of x and y
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Examples1. If mJK = 80 and <JMK = 2x – 4, find x.
M
Q
K
S
J
2. If m<MKS = 56, find m MS.
x = 22
112
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If all the vertices of a polygon touch the edge of the circle, the polygon is
INSCRIBED and the circle is CIRCUMSCRIBED.
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72˚
If two inscribed
angles intercept the
same arc, then they are
congruent.
Find the measure of DOG and DIG D
O
G
I
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Example 3
In J, m3 = 5x and m 4 = 2x + 9.Find the value of x.
3
Q
D
JT
U
4
x = 3
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If a right triangle is inscribed in a circle then the
hypotenuse is the diameter of the circle.
diameter
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4x – 14 = 90
H
K
GN
Example 4
In K, GH is a diameter and mGNH = 4x – 14. Find the value of x.
x = 26
Bonus: What type of triangle is this? Why?
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Classwork
Work together on
1-8
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Homework
Pick Evens or Odds