# Tangents And Circles Worksheets

How Do Tangents Relate to Circles? Mathematically, a tangent is defined as the line that intersects or touches the circle at exactly one point. The point where the tangent touches the circle is known as the point of tangency. At this point, the tangent lies perpendicularly to the radius. Tangent plays a vital role in geometrical constructions and developing proofs. To know whether the line is tangent or not, we consider the following properties: A tangent line never crosses or passes through the circle. The tangent is always perpendicular to the radius. A tangent and chord form an angle that is of the same measurement as the angle inscribed on the opposite side of the chord. Some of the theorems related to tangents are discussed as under: Tangent to a Circle Theorem - The tangent to a circle theorem states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency. Two Tangents Theorem - The two tangent theorem states that if two tangent segments are drawn from the same external point, then the segments are equal. Tangent Secant Theorem - The tangent secant theorem tells us about the relation of segments created by tangent and secant with an associated circle.

• ### Basic Lesson

Guides students through solving Tangents And Circles. Tangent segments to a circle from the same external point are congruent. Here, a and z are tangents from a common external point.

• ### Intermediate Lesson

Demonstrates the concept of advanced skill while solving Tangents And Circles. If a line is tangent to a circle, it is perpendicular to the radius drawn to the point of tangency.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Tangents And Circles.

• ### Independent Practice 2

Students use Tangents And Circles in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Tangents And Circles.

• ### Skill Quiz

This tests the students ability to understand Tangents And Circles.