Geometry Circles Arcs Chords And Inscribed Angles

What is the measure of arc IJ?

• 90 degrees

• 100 degrees

• 180 degrees

• 270 degrees

What is the area of the shaded sector?

• 54 π square units

• 135 π square units

• 189 π square units

• 324 π square units

Segment HF is a ____ of the circle.

• tangent

• radius

• angle

• diameter

Line BD is a ________ of the circle.

• secant

• diameter

• tangent

• radius

Line BJ is a ______ of the circle.

• radius

• diameter

• tangent

• chord

Which point is the Point of Tangency?

• Point A

• Point D

• Point G

• Point H

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

If a radius is drawn to a point of tangency, what angle is formed between the radius and the tangent?

• 45 degrees

• 90 degrees

• 30 degrees

• 60 degrees

If a quadrilateral is inscribed in a circle, then opposite angles are _____.

• Complementary

• Equal

• Supplementary

• Adjacent

What is the measure of the angle formed outside the circle by two tangents, two secants, or a secant and a tangent?

• Depends on the specific configuration of the lines

• Equal to the sum of the angles of a triangle

• Half the difference of the intercepted arcs.

• Always 90 degrees