Mod 19 Review - Definitions

Match the following terms to their definitions.

• An angle whose vertex lies on a circle and whose sides contain chords of the circle.

• Chord

• An angle less than or equal to 180⁰ whose vertex lies at the center of a circle.

• Arc

• A continuous portion of a circle consisting of 2 points & all the points on the circle between them.

• Central Angle

• A segment whose endpoints lie on a circle.

• Corresponding Central Angle

• An angle greater than 180° whose vertex lies at the center of a circle.

• Inscribed Angle

Match the following terms to their definitions.

• An arc whose endpoints lie on the sides of an inscribed angle & all the points between them.

• Minor Arc

• An arc whose points are on or in the interior of a central angle.

• Intercepted Arc

• An arc whose points are on or in the exterior of a central angle.

• Semicircle

• An arc whose endpoints are the endpoints of a diameter.

• Major Arc

Match the following

• The measure of an arc formed by two adjacent arcs is the sum of the measure of the two arcs.

• Inscribed Angle Theorem

• Angles that are opposite each other and formed by two intersecting straight lines, are congruent.

• Vertical Angles Theorem

• The measure of an inscribed angle is equal to half the measure of its intercepted arc.

• Inscribed Angle of a Diameter Theorem

• The endpoints of a diameter lie on an inscribed angle if & only if they inscribed angle is 90⁰

• Arc Additional Postulate

• If a quadrilateral is inscribed in a circle, then its opposite angles add up to 180⁰

• Inscribed Quadrilateral Theorem

Find the measure or the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Find the measure or the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Find the measure of the arc or angle indicated.

Find the measure of the arc or angle indicated.

Find the measure of the arc or angle indicated.

Name the arc made by the given angle.

• A

• B

• C

• D

Name the arc made by the given angle.

• A

• B

• C

• D