WARM UP

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WARM UP
1)
2)
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Section 9.6

• Other Angles

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OTHER Angles in a Circle

• You know two types of Angles
• Central angles
• Inscribed angles
• FOUR OTHER TYPES
• 1) Two Chords
• 2) Two Secants
• 3) Two Tangents
• 4) One Secant and One Tangent

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1 TWO CHORDS
Y
T

• Draw a circle
• Draw two intersecting chords
• Label one chord with T and O
• Label the other chord Y and M
• Label point where they intersect as K
• How do you find the measure of an interior angle
  of a circle?

1
K
O
M
5
Find the m?1 and m?2.
m?2 ½(56 97)
m?2 ½(153)
m?2 76.5o
m?1 180 76.5
m?1 103.5o
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2 TWO SECANTS
xo

• Draw a circle
• Plot point W outside of the circle
• Draw two secant lines starting at point W going
  through the circle.
• Label the intercepting arcs x and y.
• How do we find the measures of these arcs?

yo
1
W
7
Find the m?1.
m?1 ½(92 23)
m?1 ½(69)
m?1 34.5o
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3 TWO TANGENTS
xo

• Draw a circle
• Plot point J outside of the circle
• Draw two tangent lines starting at point J
• Label the intercepting arcs x and y
• How do we find the measures of these arcs?

yo
2
J
9
Find the missing measure
78o ½(x 102)
78(2) x 102
156 x 102
258 x
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4 A SECANT and A TANGENT

• Draw a circle
• Plot point F outside of the circle
• Draw one tangent and one secant from F
• Label the intercepting arcs x and y.
• How do we find the measures of these arcs?

xo
yo
3
F
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Find the missing measures
37o ½(x 65)
37(2) x 65
74 x 65
139o x
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Problemas!

• Page 358-359
• Classroom Exercises 1-9
• DRAW the DIAGRAMS