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12.1 Tangent Lines. Theorem 12-1:. If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. A. Point of tangency. P. AB OP. O. B. L. x. M. 117 0. O. N. Example:. The sum of the angles of a quadrilateral is 360 0. - PowerPoint PPT Presentation
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Theorem 12-1:
If a line is tangent to a circle, then the line is perpendicular
to the radius drawn to the point of tangency.
Point of tangencyA
BO
PABOP
Example:ML and MN are tangent to O. Find the value of x.
M
L
N
O 1170 x
The sum of the angles of a
quadrilateral is 3600
1170+900+900+x=3600
2970+x=3600
x=630
Example:Is ML tangent to
N at L?
M
L
7
N
24
25
a2+b2=c2 72+242=252
49+576=625 625=625
Yes
Theorem 12-1:
The two segments tangent to a circle from a point outside of the circle are congruent.
M
L
N
O
LMNM
Example: O is inscribed in ABC.
Find the perimeter of ABC?
C
A8
B
10
15
8
10
15
8+8+10+10+15+15 68
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