An incomplete proof of the alternate interior angles theorem follows. Complete the proof by providing all missing statements and reasons. m n 3 F 1 2

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 30E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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Question

Given 

m ll n 

line t is a transversal 

prove < 1 approximately equal to < 2

 

Statements
m|n
Line tis a transversal
21 and 22 are alternate interior Definition of alternate interior
angles
angles
21 23
21 and 23 are vertical angles ?
23 and 22 are corresponding
angles
Reasons
43 = 42
?
41 42
(0)
?
Samass
?
Al
Definition of corresponding
angles
Transcribed Image Text:Statements m|n Line tis a transversal 21 and 22 are alternate interior Definition of alternate interior angles angles 21 23 21 and 23 are vertical angles ? 23 and 22 are corresponding angles Reasons 43 = 42 ? 41 42 (0) ? Samass ? Al Definition of corresponding angles
An incomplete proof of the alternate interior angles theorem follows. Complete the proof by providing all
missing statements and reasons.
m
n
t
3
1
F
2
Transcribed Image Text:An incomplete proof of the alternate interior angles theorem follows. Complete the proof by providing all missing statements and reasons. m n t 3 1 F 2
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