Write a paragraph proof of theorem 3.8
Asked by maham237 @ in Mathematics viewed by 280 People
in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
Asked by maham237 @ in Mathematics viewed by 280 People
in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
Answered by maham237 @
One correct answer is:
Let m and n be lines that intersect line a. Let m be perpendicular to a. This means that all 4 of the angles formed by the intersection of m and a are 90°.
Let n be perpendicular to a. This means that all 4 of the angles formed by the intersection of n and a are also 90°.
Since all of the angles are congruent, this means that the same-side interior angles (between lines m and n) are congruent. If two same-side interior angles are congruent, then the lines are parallel.
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