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

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

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

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

QR←→

1 answer

In the scenario described, Lexi folded her paper in such a way that point C was on top of point D, creating a crease where the line segment intersects the fold. This crease, which is represented by point E, is the segment bisector of CD̅̅̅̅̅̅̅.

Therefore, the line that serves as the segment bisector in this scenario is:

CD̅̅̅̅̅̅̅

This is because the fold at point E divides the line segment CD into two equal parts.