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This chapter explores the properties and characteristics of tangents to circles, defining tangents as lines that touch the circle at a single point. It establishes that the tangent is perpendicular to the radius at the point of contact and examines the conditions under which tangents can be drawn from points both inside and outside the circle. Various activities and examples illustrate these concepts and highlight the equal lengths of tangents from an external point.
Chapter 105 sections
This chapter explores the properties and characteristics of tangents to circles, defining tangents as lines that touch the circle at a single point. It establishes that the tangent is perpendicular to the radius at the point of contact and examines the conditions under which tangents can be drawn from points both inside and outside the circle. Various activities and examples illustrate these concepts and highlight the equal lengths of tangents from an external point.
A circle consists of points at a constant distance (radius) from a center.
Tangents intersect a circle at only one point, while secants intersect at two.
The length of tangents drawn from an external point to a circle are equal.
The radius at the point of contact with the tangent is perpendicular to the tangent.
Total Questions
2
Estimated Time
4 min
Passing Score
70%
1 more question available