Honors Geometry - Angles Formed by Tangents and Secants

Front

What is a tangent in relation to a circle?

Back

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

Front

What is a secant in relation to a circle?

Back

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

Front

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

Back

The measure of the angle formed by two tangents is half the difference of the measures of the intercepted arcs.

Front

How do you find the measure of an angle formed by a tangent and a secant?

Back

The measure of the angle formed by a tangent and a secant is half the difference of the measures of the intercepted arcs.

Front

What is the relationship between the angles formed by secants that intersect outside a circle?

Back

The angle formed by two secants that intersect outside a circle is half the difference of the measures of the intercepted arcs.

Front

If arc VY = 132° and arc XV = 50°, what is the measure of ∠ YUV?

Back

41°

Front

If arc VY = 132° and ∠ YUV = 41°, what is the measure of arc XV?

Back

50°

Front

What is the sum of the angles in a circle?

Back

The sum of the angles in a circle is 360°.

Front

How do you calculate the measure of an angle formed by two chords that intersect inside a circle?

Back

The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.

Front

What is the measure of an angle formed by two tangents from a point outside the circle?

Back

The measure of the angle formed by two tangents from a point outside the circle is half the difference of the measures of the arcs.