12/3/24 Sectors, Arcs, Angles, & Tangents

Front

What is a tangent line?

Back

A tangent line is a straight line that touches a curve at a single point without crossing it. In the context of circles, it is perpendicular to the radius at the point of contact.

Front

How do you find the length of a tangent segment from a point outside a circle?

Back

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by two tangent lines to a circle?

Back

The measure of the angle formed by two tangent lines to a circle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

If two tangents are drawn from a point outside a circle, what can be said about their lengths?

Back

The lengths of the two tangent segments from a point outside the circle to the points of tangency are equal.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the radius and a tangent line at the point of tangency?

Back

The radius drawn to the point of tangency is perpendicular to the tangent line.

Front

How do you calculate the perimeter of a polygon that includes tangent segments?

Back

To calculate the perimeter, sum the lengths of all sides, including the lengths of the tangent segments.

Tags

CCSS.3.MD.D.8

Front

What is the formula for the measure of an angle formed by two secants intersecting outside a circle?

Back

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by a tangent and a chord through the point of contact?

Back

The measure of the angle formed by a tangent and a chord is equal to the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an angle when two tangents are drawn to a circle from a point outside the circle?

Back

The measure of the angle formed by the two tangents is equal to half the difference of the measures of the arcs that the tangents intercept.

Tags

CCSS.HSG.C.A.2

Front

What is the significance of the point of tangency?

Back

The point of tangency is the point where a tangent line touches the circle, and it is the only point at which the tangent line and the circle meet.