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 which response is correct

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 this scenario, Lexi folded her paper to make point C overlap point D, which implies that she is reflecting point C along the line segment CD. The intersection of the fold and the line segment creates point E, which is not part of the original line segment CD, but rather a point derived from the fold.

Since she drew lines CR and DR through points C and D respectively, and because E is the intersection of the fold (which is the perpendicular bisector of the segment CD), it indicates that the line segment CD is being bisected by the fold line, which we can assume to be QR.

Therefore, the correct line segment or line that acts as the segment bisector in this scenario is the line QR←→.

Answer: QR←→