Lexi started with CD¯¯¯¯¯¯¯¯

on her paper. She folded her paper so that point C
was on top of point D
. Then, she unfolded her paper and labeled the intersection of the fold and the line segment with point E
.​ She used a straight edge to draw QR←→
at an arbitrary angle through point E
. Finally, she drew CR←→
through points C
and R
and DR←→
through points D
and R
. Which line segment or line is the segment bisector in this scenario?

(1 point)
Responses

DR←→
Modifying above upper D upper R with two-way arrow

CR←→
Modifying above upper C upper R with two-way arrow

CD¯¯¯¯¯¯¯¯
Modifying above upper C upper D with bar

QR←→

1 answer

In the scenario described, Lexi folds the paper such that point C is on top of point D, which means that the fold is a line that bisects the segment CD. When she unfolds the paper, the intersection of the fold and segment CD is labeled point E, which is the midpoint of segment CD.

Since the fold gives a reflection through the line, and point E is the midpoint, the line that serves as the segment bisector of CD is CD itself.

Therefore, the correct response is:

CD¯¯¯¯¯¯¯¯