Exploring Circle Angles and Arcs

What is the vertex location of a central angle in a circle?

• On the circle itself

• Outside the circle

• At the center of the circle

• On any chord of the circle

How many letters are used to name a major arc?

• One

• Two

• Three

• Four

What is the degree measure of a semicircle?

• 90 degrees

• 270 degrees

• 360 degrees

• 180 degrees

Which type of arc is less than 180 degrees?

• Minor arc

• Semicircle

• Quarter circle

• Major arc

What is the measure of a central angle equal to?

• The sum of its intercepted arcs

• The measure of its intercepted arc

• Half the measure of its intercepted arc

• Twice the measure of its intercepted arc

If angle XYZ is a central angle measuring 68 degrees, what is the measure of the minor arc XZ?

• 68 degrees

• 136 degrees

• 360 degrees

• 34 degrees

How do you find the measure of a major arc if you know the measure of the minor arc?

• Subtract the minor arc measure from 180

• Add the minor arc measure to 180

• Subtract the minor arc measure from 360

• Multiply the minor arc measure by 2

What is the measure of arc DAB if arc AC is a diameter and angle R is 40 degrees?

• 140 degrees

• 220 degrees

• 240 degrees

• 260 degrees

Arcs AV and CD are congruent if they have the same measure and originate from circles that are:

• Concentric

• Congruent or the same circle

• Different in size

• Of the same color

What does the arc addition postulate state?

• The measure of an arc can be found by subtracting the central angle from 360

• The measure of an arc is always less than 180 degrees

• The measure of an arc is equal to half the circumference of the circle

• The measure of a larger arc is the sum of the measures of smaller arcs within it