CCGPS Analytic Geometry - A U3RT2 1-5 Answer N (Never), S (Sometimes), or (Always) to indicated whether the statement is never, sometimes, or always true. 1. A tangent to a circle intersects the circle in two points /sj -^-x - 2. Two chords of a circle are congruent. 3 3. The measure of an angle formed by two secants that intersect outside the circle is half the difference of the intercepted arcs, when the smaller arc is subtracted from the larger. ^ 4. Two secants of a circle intersect inside the circle. S 5. An inscribed angle of a circle measures 91 degrees. AJ 6-8. Use the sketch below. Points B and C are points of tangency. A C - X ' 3-/5-3 ^B 6. Find AB and AC if A B = -4X inches and AC = x - 3 inches. 5 7. Find the measure of angle A if the measure of arc EC is 165 ^ /'^ Ml ' z (^^^ 8. If the measure of arc BC is 165, what is the measure of central angle BDC? 'f^^) " ^ ^^^^ j-10. 9. Find the measure of angle H if themeasure of arc KJ is 14 degrees, and the (3 / M ^ ^ - ' i ^ ' ? ^ -H) measure of arc QM is 72 degreesS -u^j'^'i' 10. FindJM if HK=-)g; KQ=>< JM=)?>t< and H J ^ 11-12. 11. FindVPifVX=4andXN=21 12. Find the measure of angle V if arc XP=78 degrees and arc XRN=189 degrees 13-14 13. Find the measure of angle DFT if the measure of arc DT=157 degrees and the (j^ m Z-DFT ' measure of arc SC is 16 degrees. 14. Find FD if FC=5, FS=3, and FT=23. ^^^P^^ ^ 5"' % = 3.23 ' ^ ^( l^'? rft^) ' x(l75)'^ ' ^^^^-/^^ 15-16. H 15. Find the exact area of sector HKM and the approximate area rounded to the nearest hundredth if angle HKM=120 degrees and KM-8 m ^ ^ IZO (nXg)^ 0 16. Find the exact length of arc HMafid=Aea:x=3*wbe5 17. Find the measure of each angle of the quadrilateral that is inscribed in the circle 18. If AJ is tangent to circle K find J K. 19. How many radians is 270 degrees? 20. How many degrees is — radians? 19. How many radians is 20 degrees? 21. How many degrees is - ; r radians? 4 '111 1^ 147? Mfy 7 -•J'^
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