Angles Formed by Chords and Tangents

The video tutorial covers the rules of intersecting chords and secants in circles, explaining how to calculate angles using intercepted arcs. It provides example problems and solutions, discusses advanced angle calculations, and explores intersections of secants and tangents. The tutorial concludes with instructions for practice assignments on Delta Math.

What is the relationship between the angles formed by intersecting chords inside a circle?

• The angle is equal to the sum of the intercepted arcs.

• The angle is equal to half the sum of the intercepted arcs.

• The angle is equal to the difference of the intercepted arcs.

• The angle is equal to twice the sum of the intercepted arcs.

How do you calculate the measure of an angle formed by intersecting chords?

• By adding the intercepted arcs and multiplying by two.

• By multiplying the intercepted arcs.

• By subtracting the intercepted arcs and dividing by two.

• By adding the intercepted arcs and dividing by two.

If two chords intersect inside a circle, and the intercepted arcs are 45° and 109°, what is the measure of the angle formed?

• 62°

• 118°

• 154°

• 77°

What is the measure of angle YVW if the intercepted arcs are 43° and 81°?

• 43°

• 124°

• 62°

• 180°

What is the first step in solving problems involving intersecting chords?

• Identify the intercepted arcs.

• Measure the circle's diameter.

• Calculate the circle's radius.

• Find the circle's center.

How do you find the measure of an angle formed by a secant and a tangent at a point of tangency?

• By taking the difference of the intercepted arcs.

• By taking twice the measure of the intercepted arc.

• By taking the full measure of the intercepted arc.

• By taking half the measure of the intercepted arc.

If the intercepted arc for angle DEG is 308°, what is the measure of angle DEG?

• 192°

• 84°

• 308°

• 154°

What is the measure of angle DBC if the intercepted arc is 168°?

• 84°

• 360°

• 168°

• 192°

What should you do if you are given an angle and need to find the intercepted arc?

• Add the angle to 180°.

• Subtract the angle from 360°.

• Divide the angle by two.

• Multiply the angle by two.

What is the classwork assignment related to this lesson?

• Write an essay on circle geometry.

• Complete five problems on Delta Math.

• Create a presentation on secants and tangents.

• Solve ten problems from the textbook.