Chapter Eleven:  
Circles

Geometry   Notes

Chapter  11

Section  11.1
Section  11.2
Section  11.3
Section  11.4
Section  11.5
Section  11.6



Geometry Contents

 

Take notes on the following topics.

Section 11.1  Tangent Lines

Vocabulary

Tangent to a circle (p. 582) A tangent to a circle is a line, segment, or ray in the plane of the circle that intersects the circle in exactly one point. That point is the point of tangency.

Inscribed in (p. 585) A circle is inscribed in a polygon if the sides of the polygon are tangent to the circle. A polygon is inscribed in a circle if the vertices of the polygon are on the circle.

Circumscribed about (p. 585) A circle is circumscribed about a polygon if the vertices of the polygon are on the circle. A polygon is circumscribed about a circle if all the sides of the polygon are tangent to the circle.

Theorem 11-1

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

Theorem 11-2

If a line in the plane of a circle is perpendicular to a radius at its endpoint on the circle, then the line is tangent to the circle.

Theorem 11-3

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