Flashcard on Arcs, Inscribed and Central Angles

Front

If two inscribed angles intersect the same arc, then ...

Back

they are congruent.

Front

What is the measure of arc AB if it is given as 68 degrees?

Back

68 degrees.

Front

Opposite angles in any quadrilateral inscribed in a circle are __________ of each other.

Back

supplements.

Front

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

Back

150°.

Front

Find the value of x if it is given as 105.

Back

105.

Front

What is an inscribed angle?

Back

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

Front

What is a central angle?

Back

An angle whose vertex is at the center of the circle and whose sides are radii.

Front

State the relationship between the measure of an inscribed angle and the arc it intercepts.

Back

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

Front

What is the sum of the measures of opposite angles in a cyclic quadrilateral?

Back

180 degrees.

Front

If two chords intersect inside a circle, what is the relationship between the angles formed?

Back

The angles are equal to half the sum of the measures of the arcs intercepted by the angles.