Flashcard on Arcs, Inscribed and Central Angles

Front

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

Back

they are congruent.

Tags

CCSS.HSG.C.A.2

Front

Solve for x: If ∠A = 2x + 10 and ∠B = 3x - 5, find x.

Back

x = 51 degrees.

Tags

CCSS.7.G.B.5

Front

Find a and b: If ∠A + ∠B = 180° and ∠A = 93°, what is ∠B?

Back

a = 93 degrees, b = 74 degrees.

Tags

CCSS.7.G.B.5

Front

Solve for the missing angle: If ∠A + ∠B = 90° and ∠A = 45°, what is ∠B?

Back

∠B = 45°.

Tags

CCSS.7.G.B.5

Front

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

Back

∠AOC = 150°.

Tags

CCSS.HSG.C.A.2

Front

Definition: Inscribed Angle

Back

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

Front

Definition: Central Angle

Back

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

Tags

CCSS.HSG.C.A.2

Front

Theorem: The measure of an inscribed angle is...

Back

half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

If two chords intersect inside a circle, the measure of each angle formed is...

Back

the average of the measures of the arcs intercepted by the angle and its vertical angle.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between inscribed angles that intercept the same arc?

Back

They are congruent.

Tags

CCSS.HSG.C.A.2