To complete: given statement with the world always, sometimes, or never.
Answer to Problem 3CT
The statement is “If two lines are cut by a transversal and same side interior
Explanation of Solution
Given information:
Given statement is
“If two lines are cut by a transversal and same side interior angles are complementary, then the lines are -------parallel”.
Calculation:
If two lines are cut by a transversal and same-side interior angles are complementary, then the lines are always parallel. It is because the perpendicular between parallel lines makes an angle
Therefore, one angle is
Therefore, these two angles must be complementary to each other.
Hence, the appropriate word to fill in the blanks is always.
So, the statement is “If two lines are cut by a transversal and same side interior angles are complementary, then the lines are always parallel”.
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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