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

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

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

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

CR←→

1 answer

In this scenario, Lexi folded her paper so that point C was on top of point D, which means that the line segment \( CD \) was bisected by the fold, with the fold creating equal segments on either side of point E where the fold intersects line segment \( CD \).

Given that the fold represents the segment bisector of \( CD \), the correct answer among the options is:

CD̅̅̅̅̅̅

This is because the fold bisected the segment \( CD \) and every point on the fold is equidistant from points C and D.