central and inscribed angles

Presentation

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Mathematics

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9th Grade

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Practice Problem

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Medium

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CCSS

HSG.C.B.5, HSG.CO.A.1, HSG.C.A.2

Standards-aligned

Regina Ortiz

Used 8+ times

FREE Resource

3 Slides • 13 Questions

Arc & Angle Review

Central Angle - An angle whose vertex is at the center of the circle
Minor Arc - Points that lie on the interior of the central angle with a measure less than 180 degrees
Major Arc - The remaining points of the circle that do not lie on the minor arc
Semi Circle - An Arc measuring 180 degrees

Multiple Choice

Which is true of a minor arc?

It forms half a circle.

It forms a whole circle.

It measures less than 180 degrees.

It measures greater than 180

Multiple Choice

Which is true of a major arc?

It forms half a circle.

It forms a whole circle.

It measures less than 180 degrees.

It measure greater than 180

Multiple Choice

Which is true of a semi circle?

It forms half a circle.

It forms a whole circle.

It measures less than 180 degrees.

It measure greater than 180

Multiple Choice

The bolded portion of the circle is a.......

Minor Arc

Major Arc

Semi-Circle

Multiple Choice

The bolded portion of the circle is a.......

Minor Arc

Major Arc

Semi-Circle

Arc Review Continued

- Arc Measure - The number of degrees covered by an arc

- Circumference - The perimeter of a circle

- Arc Length - The length of an arc along its circumference

Multiple Choice

The distance along an arc

area of a sector

arc length

arc of a circle

sector of a circle

arc measure

Multiple Select

Choose all of the correct answers.

EAB is a major arc and its measure is 180 degrees

EAB is a semicircle and its measure is 180 degrees

ABC is a is a semicircle and its measure is 180 degrees

DC is a minor arc and its measure is 65

Multiple Select

Choose all of the correct answers.

BAC is a minor arc and its measure is 290 degrees

ABC is a semicircle and its measure is 180 degrees

EBD is a major arc and its measure is 315 degrees

DC is a minor arc and its measure is 70 degrees

New Arc Vocab

Recall: A central angle is an angle whose vertex is in the center of the circle
Inscribed angles are created by two chords meeting ON the perimeter of the circle.
Intercepted arc the portion of the circumference between the line segments of either the central angle or inscribed angle

Multiple Choice

An angle in a circle with vertex on the center of the circle

Central angle

Angle

Inscribed angle

Circle

Multiple Choice

An angle in a circle with vertex on the circle itself

Angle

Central angle

Inscribed angle

Chord

Multiple Choice

This is a picture of ___________.

Major Arc

Minor Arc

Central Angle

Inscribed Angle

Multiple Choice

Which number best represents an inscribed angle?

Multiple Choice

How many degrees are in a cirlce?

180

270

360

Arc & Angle Review

Central Angle - An angle whose vertex is at the center of the circle
Minor Arc - Points that lie on the interior of the central angle with a measure less than 180 degrees
Major Arc - The remaining points of the circle that do not lie on the minor arc
Semi Circle - An Arc measuring 180 degrees

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