Prove that ABC and EDC are similar

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
icon
Related questions
Question

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning