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

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

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

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

DR←→

Answer 1

In this scenario, Lexi folded the paper so that point C aligned with point D, creating a new point E where the fold intersected with the line segment CD. The line segment that serves as the segment bisector is the line segment or line that divides the angle or segment into two equal parts.

The line segment QR←→ was drawn through point E and is described as being at an arbitrary angle. However, since the segment CD was folded to find point E, the segment that relates to this is actually the one passing through C and D, which was folded.

The bisector in this context refers to the dividing line across CD that would indicate the midpoint when CD is reflected over line QR through point E.

Thus, the correct answer to the question of which line segment or line is the segment bisector in this scenario is:

CD¯¯¯¯¯¯¯¯