4 of 154 of 15 Items Question 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 CD¯¯¯¯¯¯¯¯ Modifying above upper C upper D with bar DR←→ Modifying above upper D upper R with two-way arrow CR←→ Modifying above upper C upper R with two-way arrow QR←→

Answer 1

In this scenario, Lexi folded the paper so that point C was on top of point D, creating a crease at point E, which is the midpoint of line segment CD. The segment bisector of a line segment is the line that divides the segment into two equal parts at its midpoint.

Since point E is the intersection of the fold and segment CD, it serves as the midpoint of segment CD. Therefore, the line drawn through point E at an arbitrary angle (QR) does not act as the segment bisector. Instead, the line that directly relates to the division of segment CD into two equal parts is the line segment CD itself.

So, the segment bisector in this scenario is:

CD¯¯¯¯¯¯¯¯ (Segment CD).