Inscribed Angles

Front

What is an inscribed angle in a circle?

Back

An inscribed angle is an angle 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 arc it intercepts.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the measure of an inscribed angle if you know the measure of the intercepted arc?

Back

To find the measure of an inscribed angle, divide the measure of the intercepted arc by 2.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an inscribed angle that intercepts an arc measuring 80 degrees?

Back

The measure of the inscribed angle is 40 degrees.

Tags

CCSS.HSG.C.A.2

Front

If two inscribed angles intercept the same arc, what can be said about their measures?

Back

If two inscribed angles intercept the same arc, they are equal in measure.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an inscribed angle that intercepts an arc measuring 120 degrees?

Back

The measure of the inscribed angle is 60 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between a central angle and an inscribed angle that intercepts the same arc?

Back

The measure of a central angle is twice the measure of the inscribed angle that intercepts the same arc.

Tags

CCSS.HSG.C.A.2

Front

If an inscribed angle measures 30 degrees, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is 60 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the significance of the vertex of an inscribed angle?

Back

The vertex of an inscribed angle is located on the circumference of the circle, which is essential for defining the angle.

Front

How can you find the measure of an angle formed by two secants intersecting outside a circle?

Back

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

Tags

CCSS.HSG.C.A.2