Question

laxi started with $overline{cd}$ 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 $overleftrightarrow{qr}$ at an arbitrary angle through point $e$. finally, she drew $overleftrightarrow{cr}$ through points $c$ and $r$ and $overleftrightarrow{dr}$ through points $d$ and $r$. which line - segment or line is the segment bisector in this scenario? (1 point) $overleftrightarrow{dr}$ $overline{cd}$ $overleftrightarrow{qr}$

Explanation:

Step1: Recall segment - bisector definition

A segment bisector divides a line segment into two equal parts.

Step2: Analyze the folding process

When Laxi folded the paper so that point C was on top of point D, the fold line (which is the same as the line $\overleftrightarrow{QR}$ since the intersection of the fold and $\overline{CD}$ is point E and $\overleftrightarrow{QR}$ passes through E) divides $\overline{CD}$ into two equal - length segments. So, $\overleftrightarrow{QR}$ is the segment bisector of $\overline{CD}$.

Answer:

$\overleftrightarrow{QR}$