Arcs & Inscribed Angles

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Tags

CCSS.HSG.C.B.5

Front

What is the measure of an arc in relation to its central angle?

Back

The measure of an arc is equal to the measure of its corresponding central angle.

Front

Define an inscribed angle.

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Front

Where is the vertex of an inscribed angle located?

Back

The vertex of an inscribed angle is located on the circle.

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.HSG.C.A.2

Front

If the measure of arc AB is 80 degrees, what is the measure of the inscribed angle that intercepts arc AB?

Back

The measure of the inscribed angle is 40 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the formula to find the measure of an arc?

Back

The measure of an arc can be found using the formula: Arc Measure = Central Angle Measure.

Tags

CCSS.HSG.C.B.5

Front

How do you find the measure of a central angle in a circle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

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

Back

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

Tags

CCSS.HSG.C.A.2

Front

If two arcs in a circle are congruent, what can be said about their corresponding central angles?

Back

The corresponding central angles are also congruent.

Tags

CCSS.HSG.C.B.5