m \\ n       Line t is a transversal prove < 1 ⩰ < 3 what errors are in the proof? what is the correct proof of all the alternate interior angles heorem

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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m \\ n       Line t is a transversal

prove < 1 ⩰ < 3

what errors are in the proof?

what is the correct proof of all the alternate interior angles heorem 

Statements
ml|n
Line tis a transversal
21 and 23 are alternate exterior
angles
23 and 2 are vertical angles
21 = 42
21 22
Reasons
Definition of vertical angles
Vertical angles theorem
21 and 22 are corresponding angles Corresponding angles postulate
Definition of congruency
Transitive property of congruence
21 = 23
Given
Alternate internal angles theorem
Transcribed Image Text:Statements ml|n Line tis a transversal 21 and 23 are alternate exterior angles 23 and 2 are vertical angles 21 = 42 21 22 Reasons Definition of vertical angles Vertical angles theorem 21 and 22 are corresponding angles Corresponding angles postulate Definition of congruency Transitive property of congruence 21 = 23 Given Alternate internal angles theorem
Mikayla wrote the following two-column proof of the alternate exterior angles theorem.
m
n -
←
3
1
2
t
Jesentu mempun
MENSTER Vkamatan
U
Dilling m
Anas(s731
DESHIRISH
asiastmes
saus auchcelentender
undste spm
REALICHOAN
SHAWUSTIETEES
BRUSTHOTHORA
ses so
rossbalans
Transcribed Image Text:Mikayla wrote the following two-column proof of the alternate exterior angles theorem. m n - ← 3 1 2 t Jesentu mempun MENSTER Vkamatan U Dilling m Anas(s731 DESHIRISH asiastmes saus auchcelentender undste spm REALICHOAN SHAWUSTIETEES BRUSTHOTHORA ses so rossbalans
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