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Honors Section 9-2. Tangent lines. Definition- a line in the plane of a circle that intersects the circle in exactly one point (pt. of tangency). Thm. 9-1 – If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. m.

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Honors section 9 2

HonorsSection 9-2


Tangent lines
Tangent lines

  • Definition- a line in the plane of a circle that intersects the circle in exactly one point (pt. of tangency).

  • Thm. 9-1 – If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

m

Circle O has a tangent line, m, so OX is perpendicular to m.

O

X

What kind of triangle is OXZ?

Z


Problem
Problem

  • If OR = 6 and OT = 8, then RT = _________

  • If m<OTR = 45, and OT = 4, then RT = ______.

R

T

k


More info
More info.

  • Corollary- tangents to a circle from a point are congruent.