What is the reason for #5? Given: AB=CB, BMLac, and M is the midpoint of AC Prove:

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.5: The Format Proof Of A Theorem
Problem 8E: Which part hypothesis or conclusion of a theorem determines the a Drawing? b Given? c Prove?
icon
Related questions
Question
What is the reason for #5?
Given: AB=CB, BMLAC, and M is the midpoint of AC
Prove: <A=<C
A
M
Statements
Reasons
1. ABECB
1. Given
2. BMLAC
2. Given
3. Mis the midpoint of AC
3. Given
4. Z AMB = 2 CMB
4. Right Angle Congruence Theorem
5. AM = CM
5.
6. AAMB = ACMB
6.
7. <A=<C
7.
Transcribed Image Text:What is the reason for #5? Given: AB=CB, BMLAC, and M is the midpoint of AC Prove: <A=<C A M Statements Reasons 1. ABECB 1. Given 2. BMLAC 2. Given 3. Mis the midpoint of AC 3. Given 4. Z AMB = 2 CMB 4. Right Angle Congruence Theorem 5. AM = CM 5. 6. AAMB = ACMB 6. 7. <A=<C 7.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning