Prove that ABC and EDC are similar

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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Prove that ABC and EDC are similar 

15 12 9
shows the corresponding sides are proportional; therefore, AABC ~ AEDC by the SAS Similarity Postulate.
%3D
4 5
15 12
O LE and ZA are right angles; therefore, these angles are congruent since all right angles are congruent.
shows the corresponding sides are
4
proportional; therefore, AABC ~ AEDC by the SSS Similarity Postulate.
12 9
O ZE and ZA are right angles; therefore, these angles are congruent since all right angles are congruent.
shows the corresponding sides are
proportional; therefore, AABC
AEDC by the SAS Similarity Postulate.
15
O ZDCE is congruent to ZBCA by the Vertical Angles Theorem and
12
shows the corresponding sides are proportional; therefore, AABC - AEDC by the
4
SSS Similarity Postulate.
9/3
Transcribed Image Text:15 12 9 shows the corresponding sides are proportional; therefore, AABC ~ AEDC by the SAS Similarity Postulate. %3D 4 5 15 12 O LE and ZA are right angles; therefore, these angles are congruent since all right angles are congruent. shows the corresponding sides are 4 proportional; therefore, AABC ~ AEDC by the SSS Similarity Postulate. 12 9 O ZE and ZA are right angles; therefore, these angles are congruent since all right angles are congruent. shows the corresponding sides are proportional; therefore, AABC AEDC by the SAS Similarity Postulate. 15 O ZDCE is congruent to ZBCA by the Vertical Angles Theorem and 12 shows the corresponding sides are proportional; therefore, AABC - AEDC by the 4 SSS Similarity Postulate. 9/3
A
4
15
12
D]
B
1
Transcribed Image Text:A 4 15 12 D] B 1
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