In the following tigurė, AE dll 11 cm D' 4 ст a. AABC and ACDE are similar how do we know this? b. What is the scale factor of the similarity transformation that takes AABC to ACDE? c. What is the value of the ratio of the area of AABC to the area of ACDE? Explain how you know. d. If the area of AABC is 30 cm?, what is the are of ACDE?

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 following figure, AE and BD are segments. Answer the following questiul
11 cm
D'
4 ст
a. AABC and ACDE are similar how do we know this?
b. What is the scale factor of the similarity transformation that takes AABC to ACDE?
c. What is the value of the ratio of the area of AABC to the area of ACDE? Explain how you know.
d. If the area of AABC is 30 cm2, what is the are of ACDE?
Transcribed Image Text:In the following figure, AE and BD are segments. Answer the following questiul 11 cm D' 4 ст a. AABC and ACDE are similar how do we know this? b. What is the scale factor of the similarity transformation that takes AABC to ACDE? c. What is the value of the ratio of the area of AABC to the area of ACDE? Explain how you know. d. If the area of AABC is 30 cm2, what is the are of ACDE?
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