Secants, Tangents, and Angle Measure

Front

What is a secant line?

Back

A secant line is a line that intersects a circle at two points.

Front

What is a tangent line?

Back

A tangent line is a line that touches a circle at exactly one point.

Front

What is the relationship between the angles formed by a tangent and a chord?

Back

The angle formed between a tangent and a chord through the point of contact is equal to the measure of the opposite arc.

Front

How do you find the measure of an angle formed by two secants?

Back

The measure of the angle formed by two secants is equal to half the difference of the measures of the intercepted arcs.

Front

What is the formula for the angle formed by two tangents?

Back

The angle formed by two tangents drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs.

Front

If two secants intersect outside a circle, how is the angle related to the arcs?

Back

The angle formed is equal to half the difference of the measures of the intercepted arcs.

Front

What is the measure of angle 1 if the intercepted arc is 106 degrees?

Back

The measure of angle 1 is 53 degrees.

Front

What is the measure of angle 3 if the intercepted arc is 144 degrees?

Back

The measure of angle 3 is 72 degrees.

Front

If x is the angle formed by a tangent and a secant, and the intercepted arc is 96 degrees, what is x?

Back

x = 48 degrees.

Front

If x is the angle formed by two secants intersecting outside a circle, and the intercepted arcs are 256 degrees and 128 degrees, what is x?

Back

x = 128 degrees.