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Chapter 12
Chords, Secants, and Tangents
12-1 Circles in the coordinate plane
Objective: Write the equation of a circle.
12-2 Properties of Tangents
Objective: Apply properties of tangents.
(x + 9)2 + y2 = 121radius =
center:
radius = √15
center: (3, 5)
Write an equation of the circle withthe given center passing through thegiven point.
A diameter of a circle has endpoints ( 2, 5) and ( 4, 7).Write the equation of the circle.
Tangent to a circle: a line in the plane of the circle that intersects the circle in exactly one point.
Point of tangency: the point where a circle and a tangent intersect
Theorem 12-2
If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.
The triangle below is circumscribed about the circle.
The circle is inscribed in the triangle.
Theorem 12-4
Two segments tangent to a circle from a point outside the circle are congruent.
If m<ABC = 43°, Find m<AOC.
HW # 112p. 590 # 27 *Quiz Friday!p. 596-98 # 1-6, 14-16
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