Lexi started with CD¯¯¯¯¯¯¯¯

Question

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←→
Modifying above upper Q upper R with two-way arrow
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Answer 1

In the scenario described, Lexi folded the paper such that point C was on top of point D, indicating that the fold created a line that is the perpendicular bisector of the segment CD. The intersection of the fold with line segment CD is labeled as point E, which is the midpoint of segment CD.

Since the fold is aligned such that it bisects segment CD into two equal parts at point E, and since the fold creates a line through E at an arbitrary angle (QR), the correct answer identifying the segment bisector is:

CD¯¯¯¯¯¯¯¯

This line segment CD is bisected by the fold where point E lies.