Concept explainers
Prove Alternate Interior
Explanation of Solution
Given:
Alternate Interior Angle Converse :
If two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel.
Calculation :
Consider the diagram :
Given :
To Prove :
Proof:
Now,
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 p and q are parallel.
Hence proved.
Chapter 3 Solutions
Geometry, Student Edition
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