Use the image to answer the question. 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 DR←→ Modifying above upper D upper R with two-way arrow CD¯¯¯¯¯¯¯¯

Answer 1

In the scenario described, Lexi folded her paper such that points C and D overlapped, creating a symmetrical fold. The point of intersection of the fold with the segment CD is labeled E. A segment bisector of a line segment is a line, ray, or segment that divides the segment into two equal parts.

Since the fold represents the line that creates symmetrical halves of segment CD, the line QR will not be perpendicular to CD, and lines CR and DR will create angles that are not guaranteed to divide CD evenly.

However, since the fold itself bisects segment CD at point E, the segment bisector in this situation is actually the line segment CD which is divided equally by this fold (point E).

Therefore, the correct response is:

CD¯¯¯¯¯¯¯¯