Use the image to answer the 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

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

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

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

CR←→

1 answer

In this scenario, Lexi folded the paper so that point C was on top of point D. The fold creates a line that bisects the segment CD¯¯¯¯¯¯¯¯, meaning it divides that segment into two equal parts.

When she drew the line QR←→ through point E (the point of intersection), and the lines CR←→ and DR←→ through points C & R and D & R respectively, we need to identify which of these lines serves as the segment bisector.

Since the fold represents a reflection across the line, the line through E that is perpendicular to CD¯¯¯¯¯¯¯¯ would be the bisector. However, this specific description is not given for QR←→, CR←→, or DR←→ in terms of perpendicularity or equality of segments.

Given the context and the process of folding and reflecting points, the likely candidate for the segment bisector that accurately represents the division of segment CD¯¯¯¯¯¯¯¯ would be the line segment CR←→ or DR←→, as they are directly connected to points involved in the original segment CD.

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

CD¯¯¯¯¯¯¯¯