Use the image to answer the question.

Question

A scalene triangle with its base oriented nearly vertical is formed by the intersection of two lines and a line segment. A third line slopes upward from left to right and passes through the base of the triangle and its apex.

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←→

Answer 1

In this scenario, the line segment that acts as the segment bisector is CD¯¯¯¯¯¯¯¯.

Here's the reasoning: Lexi folded her paper such that point C was on top of point D, indicating that CD is the line segment along which the fold occurred. When she labeled the intersection of the fold and the line segment with point E, this suggests that the fold (which is a reflection across the line) bisects the segment CD. Therefore, CD is the segment that is being bisected, making it the segment bisector in this context.