Step 1: She started with CD on her paper. She folded her paper so that point C was on top of point D.
Step 2: She unfolded her paper and labeled the intersection of the fold and the line segment with point E.
Step 3: She used a straight edge to draw QR at an arbitrary angle through point E
Step 4: 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?
a. CR
b. CD
c. QR
d. DR
1 answer
In this scenario, Lucy is folding the paper so that point C is on top of point D. When she unfolds the paper, point E is the intersection of the fold and the line segment CD. The fold creates two congruent angles, which means that line segment QR, drawn through point E at an arbitrary angle, serves as the angle bisector of the angles formed by lines CR and DR.
Thus, the segment bisector in this scenario is:
c. QR
