Use the image to answer the question.

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)

Answer 1

In the scenario described, Lexi folds the paper so that point C is on top of point D, which means the fold creates a line that is the perpendicular bisector of the line segment CD. The intersection of the fold with the line segment is labeled as point E.

Since she draws lines CR and DR through points C and D, respectively, and both extend through point R, the segment bisector of CD would be the line that bisects the segment perpendicularly, which is the line where the fold occurred.

Therefore, the segment bisector in this scenario is the fold line that goes through point E, which is positioned such that it divides the segment CD into two equal parts at a right angle.