1.18. In the given image, AABC is dilated by a scale factor of 2 with the center of dilation at point C and then reflected across the line I to obtain ADEC. B D

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
Question
1.18. In the given image, AABC is dilated by a scale factor of 2 with the center of dilation at
point C and then reflected across the line I to obtain ADEC.
B
Based on this reflection, which statement must be true?
A. As DE = 2AB, EC = 2BC, and DC = 2AC, A ABC~ A DEC.
B. As DE =
2AB, EC = 2AC, and DC = 2BC, A ABC~ A EDC.
C. As DE = AB, EC = BC, and DC = AC, A ABC~ A DEC.
D. As DE = AB, EC = AC, and DC = BC, A ABC~ A Dec.
Transcribed Image Text:1.18. In the given image, AABC is dilated by a scale factor of 2 with the center of dilation at point C and then reflected across the line I to obtain ADEC. B Based on this reflection, which statement must be true? A. As DE = 2AB, EC = 2BC, and DC = 2AC, A ABC~ A DEC. B. As DE = 2AB, EC = 2AC, and DC = 2BC, A ABC~ A EDC. C. As DE = AB, EC = BC, and DC = AC, A ABC~ A DEC. D. As DE = AB, EC = AC, and DC = BC, A ABC~ A Dec.
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