Inscribed, interior, and exterior Angle of a circle FLASHCARD

Front

What is an inscribed angle in a circle?

Back

An inscribed angle is formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle, and the sides of the angle are the chords.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

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

Front

Define an interior angle of a circle.

Back

An interior angle of a circle is formed by two chords that intersect inside the circle.

Front

What is the formula for finding the measure of an interior angle?

Back

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

Front

What is an exterior angle of a circle?

Back

An exterior angle is formed by two secants or a secant and a tangent that intersect outside the circle.

Front

How do you calculate the measure of an exterior angle?

Back

The measure of an exterior angle is equal to half the difference of the measures of the intercepted arcs.

Front

What is the measure of a central angle?

Back

A central angle is equal to the measure of the arc it intercepts.

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

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

Front

What is the relationship between tangent lines and circles?

Back

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

Front

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

Back

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