B In the figures shown, AABP-ACDE. How do you show that mAB = mCD? DO P Choose the correct answer below. O A. First show that mZAPB=mZCED by similar triangles. Then use the fact that congruent central angles intercept arcs of equal measure. OB. First show that ZAPBZCED by CPCTC. Then use the fact that congruent central angles intercept arcs of equal measure. O C. Using similar triangles, show that ZBAP ZDCE and ZABP CDE, which implies that AB CD. Then use the fact that congruent arcs have the same measure. OD. First note that AP = BP and CE = DE because all radii of a given circle are congruent. Then use the Isosceles Triangle Theorem.

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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In the figures shown, AABP-ACDE. How do you show that mAB = mCD?
P
Choose the correct answer below.
OA. First show that m/APB = m/CED by similar triangles. Then use the fact that congruent central angles intercept arcs
of equal measure.
OB. First show that ZAPBZCED by CPCTC. Then use the fact that congruent central angles intercept arcs of equal
measure.
c.
OC. Using similar triangles, show that ZBAP ZDCE and ZABP =CDE, which implies that ABCD. Then use the fact
that congruent arcs have the same measure.
OD. First note that AP = BP and CE = DE because all radii of a given circle are congruent. Then use the Isosceles Triangle
Theorem.
A
B
D
C
O
E
Transcribed Image Text:In the figures shown, AABP-ACDE. How do you show that mAB = mCD? P Choose the correct answer below. OA. First show that m/APB = m/CED by similar triangles. Then use the fact that congruent central angles intercept arcs of equal measure. OB. First show that ZAPBZCED by CPCTC. Then use the fact that congruent central angles intercept arcs of equal measure. c. OC. Using similar triangles, show that ZBAP ZDCE and ZABP =CDE, which implies that ABCD. Then use the fact that congruent arcs have the same measure. OD. First note that AP = BP and CE = DE because all radii of a given circle are congruent. Then use the Isosceles Triangle Theorem. A B D C O E
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