Intersecting Secants in a Circle

Select the theorem being described.

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

• Intersecting Interior Chords

• Intersecting Exterior Secants

• Intersecting Exterior Secant and Tangent

∠ ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 28° , minor arc AB = 112° , and minor arc DE = 112° , what is the measure of ∠ ACE?

• 14°

• 28°

• 40°

• 54°

Determine the measure of ∠UVS

• 19.5°

• 39°

• 78°

• 102°

If arc AB = 70°, how many degrees are in ∠ ADB?

• 35°

• 50°

• 70°

• 110°

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what is the measure of ∠ ABD?

• 12.5°

• 40°

• 45°

• 52.5°

If minor arc AC = 96° , what is the measure of ∠ ABC?

• 53°

• 64°

• 72°

• 84°

If arc SQ = 92° and arc QR = 86° , what is the measure of ∠ RPS?

• 30°

• 35°

• 40°

• 45°

If arc SQ = 84° and ∠RPS = 26° , what is the measure of arc RS?

• 130°

• 136°

• 140°

• 144°

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

• 45°

• 50°

• 55°

• 60°

∠ BEC is formed inside a circle by intersecting chords. If minor arc BD = 94 and minor arc CA = 166, what is the measure of ∠ BEC?

• 44°

• 47°

• 50°

• 53°