The converse statement is one that has the hypothesis and the conclusion reversed
Theorem 2–9 is a special case of the Converse of the Corresponding Angles Theorem by given the condition for the lines to be parallel based on the lines being both perpendicular, therefore having corresponding angles that are both 90 degrees and are therefore congruent implying a special case of the Converse of the Corresponding Angles Theorem where the angle is specified as 90 degrees
The expatiation of the above reason is as follows:
The Converse of the Corresponding Angles Theorem states that if there are two lines that have a common transversal such that the corresponding angles that are formed between the two lines and the two lines are congruent, then the two lines are parallel
If the congruent corresponding angles that prove that the two lines are parallel are each 90°, according to Theorem 2–9, then two lines are perpendicular to the same transversal line, and therefore, by the Converse of the Corresponding Angles Theorem, the lines are parallel
Therefore, Theorem 2–9 is a special case of the corresponding angles theorem
Learn more about the Converse of the Corresponding Angles Theorem here:
brainly.com/question/6909148
