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Homework Answers

Secants and Tangents

Definitions Tangent: a line that intersects a circle in exactly one place Point of tangency: point at which the tangent intersects the circle Secant: a line that intersects a circle in two places

What do you notice about the relationship between the intersecting radii and tangents?

Other Facts… If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

When the radius is perpendicular to a chord(secant) what do you notice?

Other Facts… If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. A radius that is perpendicular to a chord of a circle bisects the chord.