10.3 Start Thinking Warm Up Cumulative Review Warm Up
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1 10.3 tart hinking etermine if the statement is always true, sometimes true, or never true. plain your reasoning. 1. chord is a diameter. 2. diameter is a chord. 3. chord and a radius have the same measure. 4. chord is longer than a diameter Warm p ind the value of given that is the center of the circle and that the circle has a diameter of umulative eview Warm p Write a proof. 1. Given: is the midpoint 2. Given: of and. rove: rove: 342 Geometry opyright ig Ideas Learning, LL esources by hapter ll rights reserved.
2 ame ate 10.3 ractice In ercises 1 and 2, use the diagram of. 1. If m = 130, find m. 2. If m = 100, find m. In ercises 3 5, find the value of G etermine whether is a diameter of each circle. plain your reasoning. a. b In ercises, use the diagram to find the given length the radius of V In the diagram of, which congruence relation is not necessarily true?.. L L.. L L opyright ig Ideas Learning, LL ll rights reserved. Geometry esources by hapter 343
3 ame ate 10.3 ractice In ercises 1 4, use the diagram of plain why. 2. ind the value of. 3. ind m and m. 4. ind m. ( 40) 5 5 ( ) In ercises 5, find the value of etermine whether is a diameter of the circle. plain your reasoning (50 + 2) In ercises and 10, find the radius of H G 5 18 V 18 W opy and complete the proof. Given: is a diameter of. rove: O 1. is a diameter of ongruent orresponding hords heorem (hm. 10.) riefly eplain what other congruence theorem you could use to prove that in ercise Geometry opyright ig Ideas Learning, LL esources by hapter ll rights reserved.
4 ame ate 10.3 nrichment and tension sing hords of ircles In ercises 1, give the degree measure of the arc intercepted by the chord described. ound to the nearest tenth, if necessary. 1. a chord congruent to the radius 2. a chord one-third the length of the radius 3. a chord congruent to the segment from the center to the chord 4. a chord twice the length of the segment from the center to the chord 5. a chord one-fourth the length of the circumference. a chord with length 1 times the length of the circumference π. is a chord of a circle with center O. O intersects at. If = 1.5 and the measure of = 80, is necessarily 3? Is the measure of 40? If not, sketch a countereample. 8. is the diameter of circle O, as shown. is a point such that = and = 25. ind the length of the shortest chord through point. 25 O opyright ig Ideas Learning, LL ll rights reserved. Geometry esources by hapter 345
5 ame ate 10.3 uzzle ime Why id he ollege Give aby Ghost cholarship? G H I J omplete each eercise. ind the answer in the answer column. Write the word under the answer in the bo containing the eercise letter. equidistant HOOL intersects O 8 LL chord 12 omplete the sentence.. (n) is a segment with endpoints on a circle.. In the same circle, or in congruent circles, two minor arcs are congruent if and only if their chords are congruent.. If a diameter of a circle is perpendicular to a chord, then the diameter the chord and its arc.. If one chord of a circle is a(n) bisector of another chord, then the first chord is a diameter.. In the same circle, or in congruent circles, two chords are congruent if and only if they are from the center.. diameter divides a circle into two congruent. ind the measure of the given arc or chord in. semicircles O at V 14 II.5 WLO corresponding I secant OLLG straight VYO perpendicular H G. H. V I. L 82 V 120 bisects W GOW circles GHO similar I ind the value of. J. J ( + ) H G (2 ) HV LIL 34 Geometry opyright ig Ideas Learning, LL esources by hapter ll rights reserved.
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