Arc Addition Theorem Circles Quiz

What is the arc addition theorem in circles?

• The arc addition theorem states that the measure of the arc formed by two non-overlapping arcs is equal to the sum of the measures of the two arcs.

• The arc addition theorem states that the measure of the arc formed by two non-overlapping arcs is equal to the difference of the measures of the two arcs.

• The arc addition theorem states that the measure of the arc formed by two overlapping arcs is equal to the difference of the measures of the two arcs.

• The arc addition theorem states that the measure of the arc formed by two non-overlapping arcs is equal to the product of the measures of the two arcs.

If two arcs in a circle have measures of 60 degrees and 120 degrees, what is the measure of their sum?

• 180 degrees

• 240 degrees

• 300 degrees

• 90 degrees

In a circle, if the measure of arc AB is 70 degrees and the measure of arc BC is 110 degrees, what is the measure of arc AC?

• 100 degrees

• 240 degrees

• 50 degrees

• 180 degrees

If the measure of arc PQ is 40 degrees and the measure of arc QR is 80 degrees, what is the measure of arc PR?

• 120 degrees

• 200 degrees

• 90 degrees

• 60 degrees

In a circle, if the measure of arc DE is 90 degrees and the measure of arc EF is 45 degrees, what is the measure of arc DF?

• 180 degrees

• 45 degrees

• 135 degrees

• 60 degrees

If the measure of arc XY is 120 degrees and the measure of arc YZ is 60 degrees, what is the measure of arc XZ?

• 180 degrees

• 300 degrees

• 90 degrees

• 240 degrees

What is the relationship between the measures of arcs in a circle and the measure of the entire circle?

• The sum of the measures of the arcs in a circle is equal to the measure of the entire circle.

• The measure of the entire circle is unrelated to the sum of the measures of the arcs

• The measure of the entire circle is greater than the sum of the measures of the arcs

• The measure of the entire circle is less than the sum of the measures of the arcs

If the measure of the entire circle is 360 degrees, what is the measure of a semicircle?

• 90 degrees

• 270 degrees

• 45 degrees

• 180 degrees

In a circle, if the measure of arc LM is 80 degrees, what is the measure of the central angle that intercepts this arc?

• 80 degrees

• 120 degrees

• 40 degrees

• 60 degrees

If the measure of the central angle in a circle is 45 degrees, what is the measure of the arc intercepted by this angle?

• 360 degrees

• 180 degrees

• 45 degrees

• 90 degrees