Angela constructs a parallel line pq to a given line ab through a point not on line ab. first, she carries out her construction by drawing line ef and marking
a random point r along the line. next she uses her compass to draw circle 2 with a center where ab intersects ef and a radius at point d. she draws an
identical circle, circle 2, at point r. angela draws circle 3 which intersects point d on line ab and has a center that occurs where circle 1 intersects line ef.
next, she draws circle 4 with the same dimensions as circle 3 and with a center that occurs where circle 2 intersects line ef. she identifies the point of
intersection of circles 2 and 4, and adds point s. next, she draws a line from point r to point s. using her ruler, angela expands segment rs to construct the
parallel line po
which theorem justifies why angela's construction results in a parallel line through a point r not on the original line ab?
select one:
a. if one pair of lines is congruent, the lines are parallel.
b. if two angles form a linear pair they are supplementary and their lines are parallel.
c. if two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
d. if the midpoints of two lines are connected by a transversal the lines are parallel.