Circle Theorem Secants and Tangents

It is a line that intersects the circle at two points.

• Secant

• Tangent

• Center

• Point of Tangency

It is a line that intersects the circle at one point.

• Secant

• Tangent

• Center

• Point of Tangency

It is a point where the circle and the tangent meet.

• Secant

• Tangent

• Center

• Point of Tangency

The measure of an angle formed by two tangents intersecting outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.

• Secant-Secant Theorem

• Tangent-Secant Theorem

• Tangent-Tangent Theroem

• Secant-Secant Theorem (Interior)

Tags

CCSS.HSG.C.A.2

The measure of an angle formed by a tangent and a secant intersecting outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.

• Secant-Secant Theorem

• Tangent-Secant Theorem

• Tangent-Tangent Theorem

• Secant-Secant Theorem (Interior)

Tags

CCSS.HSG.C.A.2

The measure of an angle formed by two secants intersecting inside a circle is equal to one-half the sum of the measures of the intercepted arcs.

• Secant-secant Theorem

• Tangent-Secant Theorem

• Secant-Secant Theorem (Interior)

• Tangent-Tangent Theorem

Tags

CCSS.HSG.C.A.2

It is a line that crosses the circle.

• Secant

• Tangent

• Center

• Point of tangency

The measure of an angle formed by two secants intersecting outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.

• Secant-Secant Theorem

• Tangent-Secant Theorem

• Tangent-Tangent Theorem

• Secant-Secant Theorem (Interior)

Tags

CCSS.HSG.C.A.2

A line segment whose endpoints intersects a circle at exactly two points.

• tangent line

• secant line

• chord

• sector

Which of the following statement is true?

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive sum of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is the positive difference of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is the sum of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2