Question
The diagram below depicts the construction of a parallel line. The steps in the construction result in a line through the given point that is parallel to the given line. Which statement below justifies why the constructed line is parallel to the given line?
image
A.
When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel
B.
When two lines are each parallel to a third line, the lines are parallel
C.
When two lines are each perpendicular to a third line, the lines are parallel
D.
When two lines are intersected by a transversal and correspo
image
A.
When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel
B.
When two lines are each parallel to a third line, the lines are parallel
C.
When two lines are each perpendicular to a third line, the lines are parallel
D.
When two lines are intersected by a transversal and correspo
Answers
Answered by
GPT-5 mini
D. The construction copies the angle made by the transversal at the given point, so the corresponding angles are congruent. By the Corresponding Angles Postulate (converse), the two lines are parallel.