Angles and Intercepted Arcs

This video tutorial covers angle relationships in circles, focusing on angles formed by tangents and chords. It explains how to calculate these angles using intercepted arcs, providing examples and practice problems to reinforce understanding.

What is the relationship between a tangent line and a chord in a circle?

• They are parallel.

• They form an angle whose measure is half the intercepted arc.

• They form a right angle.

• They are perpendicular.

If a tangent and a chord intersect at a point on the circle, what is true about the angles formed?

• Each angle is half the measure of its intercepted arc.

• The angles are supplementary.

• The angles are equal.

• The angles are complementary.

What is the measure of angle 1 if the intercepted arc is 130°?

• 90°

• 65°

• 130°

• 260°

What is the measure of an angle formed by a tangent and a chord if the intercepted arc is 200°?

• 100°

• 200°

• 150°

• 50°

If the intercepted arc is 180°, what is the measure of the angle formed by the tangent and chord?

• 60°

• 45°

• 180°

• 90°

What is the measure of angle 1 if the intercepted arc is 90°?

• 30°

• 180°

• 90°

• 45°

If the angle formed by a tangent and a chord is 60°, what is the measure of the intercepted arc?

• 90°

• 30°

• 60°

• 120°

What is the measure of an angle formed by a tangent and a chord if the intercepted arc is 240°?

• 240°

• 120°

• 180°

• 60°

In the circle diagram, what is the relationship between angle 1 and arc BD?

• Angle 1 is twice arc BD.

• Angle 1 is half of arc BD.

• Angle 1 is equal to arc BD.

• Angle 1 is unrelated to arc BD.

What is the measure of angle 2 if arc BD is the major arc?

• It is equal to arc BD.

• It is half of arc BD.

• It is twice arc BD.

• It is unrelated to arc BD.