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 CR←→ Modifying above upper C upper R with two-way arrow DR←→ Modifying above upper D upper R with two-way arrow QR←→ Modifying above upper Q upper R with two-way arrow CD¯¯¯¯¯¯¯¯

Answer 1

In this scenario, Lexi folded her paper so that point C was on top of point D, and the intersection of the fold and the line segment CD is labeled as point E. The line segment CE is equal in length to the segment DE due to the properties of the fold, which means that point E is the midpoint of segment CD.

Since a segment bisector is defined as a line or segment that divides another segment into two equal parts, the line segment CD is bisected by the point E. Therefore, the segment bisector in this scenario is the segment CD itself, not CR, DR, or QR.

So, the correct response would be:

CD