#1 Inscribed Angles

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

How do you calculate 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 relationship between an inscribed angle and its intercepted arc?

Back

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

Front

If an inscribed angle intercepts an arc measuring 80 degrees, what is the measure of the angle?

Back

The measure of the inscribed angle would be 40 degrees.

Front

What is the measure of an inscribed angle that intercepts a semicircle?

Back

The measure of an inscribed angle that intercepts a semicircle is always 90 degrees.

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 crucial for defining the angle.

Front

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

Back

Yes, two inscribed angles that intercept the same arc are equal in measure.

Front

What is the relationship between angles inscribed in the same segment of a circle?

Back

Angles inscribed in the same segment of a circle are equal.

Front

How does the position of the vertex affect the measure of an inscribed angle?

Back

The position of the vertex on the circle determines the intercepted arc, which directly affects the measure of the inscribed angle.

Front

What is the measure of angle F if it intercepts an arc measuring 92 degrees?

Back

The measure of angle F would be 46 degrees.