Circle Chords, Arcs, Central Angles, Inscribed Angles

What is the relationship between opposite angles of a quadrilateral inscribed in a circle?

• They are congruent.

• They are complementary.

• They are supplementary.

• One angle is half of the other angle.

What is the relationship between congruent central angles and their arcs?

• The angle is half of the arc.

• The arc is half of the angle.

• They are congruent.

• There is no relationship.

Tags

CCSS.HSG.C.A.2

What is a central angle?

• An angle formed by 2 chords and its vertex lies on the circle.

• An angle formed by two radii whose vertex is the center of the circle.

• An angle that measures 90 degrees

• An angle that intersects the circle at a tangent

Tags

CCSS.HSG.C.A.2

What is an Inscribed angle?

• An angle formed by 2 chords and its vertex lies on the circle.

• An angle formed by two radii whose vertex is the center of the circle.

• An angle that measures 90 degrees

• An angle that intersects the circle at a tangent

Tags

CCSS.HSG.C.A.2

What is the measure of an angle formed by two chords?

• Half the sum of the measures of the intercepted arcs

• Equal to the measure of the smaller intercepted arc

• Equal to the measure of the larger intercepted arc

• Twice the sum of the measures of the intercepted arcs

Tags

CCSS.HSG.C.A.2

What is the measure of arc PQR?

• 270 degrees

• 180 degrees

• 150 degrees

• 90 degrees

Tags

CCSS.HSG.C.B.5

What is the exact length of arc PQ?

• π units

• 2π units

• 3π units

• 4π units

Tags

CCSS.HSG.C.B.5

What is the value of x?

• Cannot be determined

• x = 90 degrees

• x = 145 degrees

• x = 200 degrees

Tags

CCSS.HSG.C.A.2

What is the value of x?

• Cannot be determined

• x = 32 degrees

• x = 44 degrees

• x = 120 degrees

Tags

CCSS.HSG.C.A.2

What type of triangle is formed by two radii and a chord?

• Isosceles

• Equilateral

• Scalene

• Right

Tags

CCSS.4.G.A.2