Concept explainers
Prove Perpendicular Transversal Converse Theorem.
Explanation of Solution
Given:
Perpendicular Transversal Converse Theorem:
In a plane , if two lines are perpendicular to the same line , then they are parallel.
Calculation :
Consider the diagram :
Given :
To Prove :
Since
Since
And
By the Converse of Corresponding Angle Theorem which states that when a transversal intersects two lines , the two lines are parallel if the corresponding angles are congruent, the lines l and m are parallel.
Hence proved.
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