Flashcard--Angle and Segment Relationships in Circles

Front

What is the measure of ∠ABE if the answer is 129°?

Back

∠ABE = 129°

Front

If two secants or chords intersect in the interior of a circle, the measure of each angle is ____ the sum of its intercepted arcs.

Back

half

Front

Find the value of x if the answer is 9.

Back

x = 9

Front

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

Back

perpendicular

Front

In the diagram, TP and TQ are tangents to circle O. If the answer is 110, what is the value of x?

Back

x = 110

Front

What is the relationship between the angle formed by two secants intersecting inside a circle and the intercepted arcs?

Back

The angle is half the sum of the measures of the intercepted arcs.

Front

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

Back

The tangent is perpendicular to the radius.

Front

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

Back

The lengths of the tangents are equal.

Front

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

Back

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

Front

What is the formula for finding the measure of an angle formed by two chords that intersect inside a circle?

Back

Angle = 1/2 (arc1 + arc2)