Geometry: Inscribed Angles and Intercepted Arcs Quiz

What is the relationship between an inscribed angle and its intercepted arc?

• The inscribed angle is half the arc.

• The inscribed angle is equal to the arc.

• The inscribed angle is unrelated to the arc.

• The inscribed angle is double the arc.

If two inscribed angles intercept the same arc, what can be said about these angles?

• They are complementary.

• They are congruent.

• They are supplementary.

• They are unrelated.

What is the measure of an angle inscribed in a semicircle?

• 180 degrees

• 45 degrees

• 90 degrees

• 60 degrees

In an inscribed quadrilateral, what is true about the opposite angles?

• They are equal.

• They are complementary.

• They are supplementary.

• They are unrelated.

Given a circle with chords AB, CD, AC, and BD, if angle CAB is 85 degrees, what is the measure of angle CDB?

• 95 degrees

• 180 degrees

• 100 degrees

• 85 degrees

If angle ACD is 100 degrees, what is the measure of angle ABD in the same circle?

• 100 degrees

• 180 degrees

• 80 degrees

• 90 degrees

How do you calculate the measure of arc ABD if angle ACD is 100 degrees?

• Subtract 100 from the angle

• Add 100 to the angle

• Divide the angle by 2

• Multiply the angle by 2

What is the total degree measure of a circle?

• 180 degrees

• 270 degrees

• 360 degrees

• 540 degrees

If arc ABD is 200 degrees, what is the measure of arc ACD in the same circle?

• 160 degrees

• 360 degrees

• 180 degrees

• 200 degrees

Which formula can be used to find the measure of an arc given an inscribed angle?

• Arc = Angle

• Arc = 2 * Angle

• Arc = Angle / 2

• Arc = 180 - Angle