To find: The assumption that may be made while performing the indirect proof of a given equation.
Answer to Problem 54SPR
The required assumption to be made is the lines are not parallel.
Explanation of Solution
Given information:
The given statement is:
“If two lines are cut by a transverse and a pair of alternate interior
Consider the given value of y :
“If two lines are cut by a transverse and a pair of alternate interior angles are congruent, then the two lines are parallel.”
When we perform an indirect proof assume the result to be false.
The given final result as per the statement is:
The two lines are parallel
Hence, the required assumption to be made is the lines are not parallel.
Chapter 5 Solutions
Geometry, Student Edition
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