Which theorem justifies this method of construction? A If two lines in a plane are cut by a transversal to form congruent alternate exterior angles, then the lines are parallel. If two lines in a plane are cut by a transversal to form congruent corresponding angles, then the lines are parallel. If two lines in a plane are cut by a transversal to form congruent alternative interior angles, then the lines are parallel. If two lines in a plane are perpendicular to a transversal at different points, then the lines are parallel.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter4: Quadrilaterals
Section4.1: Properties Of A Parallelogram
Problem 28E
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The diagram below shows the construction of AB through point P parallel to CD.
Which theorem justifies this method of construction?
A
If two lines in a plane are cut by a transversal to form congruent alternate exterior angles, then the lines are parallel.
В
If two lines in a plane are cut by a transversal to form congruent corresponding angles, then the lines are parallel.
C
If two lines in a plane are cut by a transversal to form congruent alternative interior angles, then the lines are parallel.
D
If two lines in a plane are perpendicular to a transversal at different points, then the lines are parallel.
Transcribed Image Text:The diagram below shows the construction of AB through point P parallel to CD. Which theorem justifies this method of construction? A If two lines in a plane are cut by a transversal to form congruent alternate exterior angles, then the lines are parallel. В If two lines in a plane are cut by a transversal to form congruent corresponding angles, then the lines are parallel. C If two lines in a plane are cut by a transversal to form congruent alternative interior angles, then the lines are parallel. D If two lines in a plane are perpendicular to a transversal at different points, then the lines are parallel.
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