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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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Page 1: 12.1 Tangent Lines
Page 2: 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.

Point of tangencyA

BO

PABOP

Page 3: 12.1 Tangent Lines

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

Page 4: 12.1 Tangent Lines

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

Page 5: 12.1 Tangent Lines

Theorem 12-1:

The two segments tangent to a circle from a point outside of the circle are congruent.

M

L

N

O

LMNM

Page 6: 12.1 Tangent Lines

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

Page 7: 12.1 Tangent Lines
Page 8: 12.1 Tangent Lines
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