Unit 10, Circles - Tangents & Angles (10.5-10.6)

Front

What is a tangent to a circle?

Back

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

Front

What is the relationship between the angle formed by a tangent and a chord through the point of contact?

Back

The angle formed is equal to the measure of the arc opposite to the angle.

Front

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

Back

The measure of the angle is half the difference of the measures of the intercepted arcs.

Front

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

Back

150°

Front

What is the formula for the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

What is the measure of angle KLM if it is formed by a tangent and a chord?

Back

The measure of angle KLM is equal to half the measure of the arc that the chord subtends.

Front

How do you find the measure of an arc given the central angle?

Back

The measure of the arc is equal to the measure of the central angle.

Front

What is the relationship between the angles formed by two intersecting chords?

Back

The measure of the angle formed is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

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

Back

The lengths of the two tangents are equal.

Front

What is the measure of arc KM if the angle formed by the tangent and the chord is 33°?

Back

33°.