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4. Which of the following statement is true? a. An indirect proof starts with assuming that the conclusion is true and arrive 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 secants intersect in the interior of a circle, then the measure of an angle formed is one-half the its a. difference b. product Lof the measures of the arcs intercepted by the angle and angle. vertical C. ratio d. sum 6. Which of the following statement is false? a. If two chords intersect in a circle then the ratio of the lengths of the chords segments are equal. b. 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. c. If two tangents 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 a tangent and a secant intersect in the exterior of a circle then the square of the measure of the tangent is equal to the product of the measures of the secant and its external secant segment. 7. What is the name of this theorem: If two secants intersects in the exterior of a circle, then the product of the measures of one secant segment and its external segment is equal to the product of the measures of the other secant and its external secant segment. a. Chord-Chord Power Theorem b. Secant-Secant Theorem c. Power Theorems d. Two Tangent Theorem

4. Which of the following statement is true? a. An indirect proof starts with assuming that the conclusion is true and arrive 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 secants intersect in the interior of a circle, then the measure of an angle formed is one-half the its a. difference b. product Lof the measures of the arcs intercepted by the angle and angle. vertical C. ratio d. sum 6. Which of the following statement is false? a. If two chords intersect in a circle then the ratio of the lengths of the chords segments are equal. b. 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. c. If two tangents 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 a tangent and a secant intersect in the exterior of a circle then the square of the measure of the tangent is equal to the product of the measures of the secant and its external secant segment. 7. What is the name of this theorem: If two secants intersects in the exterior of a circle, then the product of the measures of one secant segment and its external segment is equal to the product of the measures of the other secant and its external secant segment. a. Chord-Chord Power Theorem b. Secant-Secant Theorem c. Power Theorems d. Two Tangent Theorem

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 12E: In Exercise 11 and 12, provide the missing statements and reasons. Given: 12;34 s 2 and 3 are...
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4. Which of the following statement is true? a. An indirect proof starts with assuming that the conclusion is true and arrive 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 secants intersect in the interior of a circle, then the measure of an angle formed is one-half the its of the measures of the arcs intercepted by the angle and angle. vertical a. difference b. product C. ratio d. sum 6. Which of the following statement is false? a. If two chords intersect in a circle then the ratio of the lengths of the chords segments are equal. b. 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. c. If two tangents 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 a tangent and a secant intersect in the exterior of a circle then the square of the measure of the tangent is equal to the product of the measures of the secant and its external secant segment. C. 7. What is the name of this theorem: If two secants intersects in the exterior of a circle, then the product of the measures of one secant segment and its external segment is equal to the product of the measures of the other secant and its external secant segment. a. Chord-Chord Power Theorem b. Secant-Secant Theorem c. Power Theorems d. Two Tangent Theorem
Transcribed Image Text:4. Which of the following statement is true? a. An indirect proof starts with assuming that the conclusion is true and arrive 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 secants intersect in the interior of a circle, then the measure of an angle formed is one-half the its of the measures of the arcs intercepted by the angle and angle. vertical a. difference b. product C. ratio d. sum 6. Which of the following statement is false? a. If two chords intersect in a circle then the ratio of the lengths of the chords segments are equal. b. 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. c. If two tangents 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 a tangent and a secant intersect in the exterior of a circle then the square of the measure of the tangent is equal to the product of the measures of the secant and its external secant segment. C. 7. What is the name of this theorem: If two secants intersects in the exterior of a circle, then the product of the measures of one secant segment and its external segment is equal to the product of the measures of the other secant and its external secant segment. a. Chord-Chord Power Theorem b. Secant-Secant Theorem c. Power Theorems d. Two Tangent Theorem
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