3. Which of the following statement is false?a. If two secants intersect in the interior of a circle, then the measure of anangle formed is one-half the sum of the measures of the arcs interceptedby the angle and its vertical angle.b. If a secant and tangent intersect at the point of tangency, then themeasure of each angle formed is one-half the measure of its interceptedarc.c. If a secant and a tangent intersect in the exterior of a circle, then themeasure of the angle formed is one-half the positive difference of themeasures of the intercepted arcs.d. If two secants intersect in the exterior of a circle then the measure of theangle formed is one-half the positive sum of the measures of theintercepted arcs.214. Which of the following statement is true?a. An indirect proof starts with assuming that the conclusion is true andarrive with a contradiction.b. Proving a biconditional just needs to prove at least one statement.c. A proof of every theorem is always fixed.d. Proving theorems always involves a two-column proof.5. Which of the following word will make the statement true: If two secantsintersect in the interior of a circle, then the measure of an angle formed isone-half theitsa. differenceb. productof the measures of the arcs intercepted by the angle andangle.verticalC. ratiod. sum6. Which of the following statement is false?a. If two chords intersect in a circle then the ratio of the lengths of thechords segments are equal.b. If a secant and a tangent intersect in the exterior of a circle, then themeasure of the angle formed is one-half the positive difference of themeasures of the intercepted arcs.c. If two tangents intersect in the exterior of a circle, then the measure ofthe angle formed is one-half the positive difference of the measures of theintercepted arcs.d. If a tangent and a secant intersect in the exterior of a circle then thesquare of the measure of the tangent is equal to the product of themeasures of the secant and its external secant segment.7. What is the name of this theorem: If two secants intersects in the exterior ofa circle, then the product of the measures of one secant segment and itsexternal segment is equal to the product of the measures of the other secantand its external secant segment.a. Chord-Chord Power Theoremb. Secant-Secant Theoremc. Power Theoremsd. Two Tangent Theorem

Answered: Image /qna-images/answer/1cc5983d-59f5-4f1d-a31e-1eae479590c7.jpg

3. Which of the following statement is false? a. If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle. b. If a secant and tangent intersect at the point of tangency, then the measure of each angle formed is one-half the measure of its intercepted arc. c. If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. d. If two secants intersect in the exterior of a circle then the measure of the angle formed is one-half the positive sum of the measures of the intercepted arcs.

3. Which of the following statement is false? a. If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle. b. If a secant and tangent intersect at the point of tangency, then the measure of each angle formed is one-half the measure of its intercepted arc. c. If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. d. If two secants intersect in the exterior of a circle then the measure of the angle formed is one-half the positive sum of the measures of the intercepted arcs.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.4: Some Constructions And Inequalities For The Circle

Problem 39E: In O, chord AB chord CD. Radius OE is perpendicular to AB and CD at points M and N, respectively. If...

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