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7 One theorem from circle geometry is the following: If two chords have the same length then the arcs cut off by those chords will have the same degree measure, i.e. in the diagram shown, if AB = CD, %3D o. then mAB = mCD. (a) Draw in radii OA, OB, OC and OD. Then, explain why AOAB must be congruent to AODC. (b) Given that AOAB = AODC, why can we now say that m AB = mCD?

7 One theorem from circle geometry is the following: If two chords have the same length then the arcs cut off by those chords will have the same degree measure, i.e. in the diagram shown, if AB = CD, %3D o. then mAB = mCD. (a) Draw in radii OA, OB, OC and OD. Then, explain why AOAB must be congruent to AODC. (b) Given that AOAB = AODC, why can we now say that m AB = mCD?

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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7 One theorem from circle geometry is the following: If two chords have the same length then the arcs cut off by those chords will have the same degree measure, i.e. in the diagram shown, if AB = CD, then mAB = mCD. B (a) Draw in radii OA,OB,OC and OD. Then, explain why AOAB must be congruent to AODC. (b) Given that AOAB = AODC , why can we now say that m AB = mCD?
Transcribed Image Text:7 One theorem from circle geometry is the following: If two chords have the same length then the arcs cut off by those chords will have the same degree measure, i.e. in the diagram shown, if AB = CD, then mAB = mCD. B (a) Draw in radii OA,OB,OC and OD. Then, explain why AOAB must be congruent to AODC. (b) Given that AOAB = AODC , why can we now say that m AB = mCD?
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