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
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 38E: The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle...
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Question
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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