conmplete Write TRUE if the statement is true. Otherwise, write FALSE. _1. A central angle has its vertex on the circle. 2. A diameter determines two semicircles. 3. A central angle and its intercepted arc have the same measure.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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ASSESS Learning
In the circle and
Activity 6
True or False
complet
Write TRUE if the statement is true. Otherwise, write FALSE.
_1. A central angle has its vertex on the circle.
2. A diameter determines two semicircles.
3. A central angle and its intercepted arc have the same measure.
4. If mAB
= 150°, then AB is a major arc.
5. If a major arc's related minor arc measures 148°, then its measure is 32°.
6. Two inscribed angles intercepting the same arc are congruent.
7. An angle inscribed in a semicircle is a right angle.
8. Opposite angles of a quadrilateral are complementary.
9. An inscribed square in a circle separates the circle into four equal arcs.
10. The measure of a central angle is twice the measure of an inscribed angle
intercepting the same arc.
11. An arc has only one central angle intercepting it but several intercepting inscribed
angles.
12. The vertex of an inscribed angle is the center of the circle.
13. The sides of an inscribed angle are two chords that intersect at a point on the circle.
14. Each angle of an inscribed equilateral triangle in a circle intercepts an arc that
measures 120°,
15. Two inscribed angles intercepting congruent arc are congruent.
Liui 7
Transcribed Image Text:ASSESS Learning In the circle and Activity 6 True or False complet Write TRUE if the statement is true. Otherwise, write FALSE. _1. A central angle has its vertex on the circle. 2. A diameter determines two semicircles. 3. A central angle and its intercepted arc have the same measure. 4. If mAB = 150°, then AB is a major arc. 5. If a major arc's related minor arc measures 148°, then its measure is 32°. 6. Two inscribed angles intercepting the same arc are congruent. 7. An angle inscribed in a semicircle is a right angle. 8. Opposite angles of a quadrilateral are complementary. 9. An inscribed square in a circle separates the circle into four equal arcs. 10. The measure of a central angle is twice the measure of an inscribed angle intercepting the same arc. 11. An arc has only one central angle intercepting it but several intercepting inscribed angles. 12. The vertex of an inscribed angle is the center of the circle. 13. The sides of an inscribed angle are two chords that intersect at a point on the circle. 14. Each angle of an inscribed equilateral triangle in a circle intercepts an arc that measures 120°, 15. Two inscribed angles intercepting congruent arc are congruent. Liui 7
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