Asked by yo mama

Liam is planning to construct a line segment bisector of AB¯¯¯¯¯¯¯¯
𝐴
𝐵
¯
. He plans to use the following steps:

Step #1: Create line segment AB¯¯¯¯¯¯¯¯
𝐴
𝐵
¯
on my paper.

Step #2: Fold the paper so that point A
𝐴
is on top of point B
𝐵
.

Step #3: Unfold the paper and label the intersection of the fold and the line segment with point C
𝐶
.

Step #4: Use a straight edge to draw a line that passes through points A
𝐴
, C
𝐶
, and B
𝐵
. This line is a bisector of AB¯¯¯¯¯¯¯¯
𝐴
𝐵
¯
.

Which step has a mistake and how should the mistake be corrected?

Step #4 has a mistake. It should say: “Use a straight edge to draw a line that passes through point A
𝐴
and another line that passes through point B
𝐵
. These lines are bisectors of AB¯¯¯¯¯¯¯¯
𝐴
𝐵
¯
.”
Step #4 has a mistake. It should say: “Use a straight edge to draw a line that passes through point upper A and another line that passes through point upper B . These lines are bisectors of line segement upper A upper B .”

Step #4 has a mistake. It should say: “Use a straight edge to draw a line that passes through point C
𝐶
(but not points A
𝐴
and B
𝐵
). This line is a bisector of AB¯¯¯¯¯¯¯¯
𝐴
𝐵
¯
.”Step #2 has a mistake. It should say: “Fold the paper so that point A
𝐴
is on top of point B
𝐵
. Then, fold the paper again so that the midpoint of AB¯¯¯¯¯¯¯¯
𝐴
𝐵
¯
is on top of points A
𝐴
and B
𝐵
.”
Step #2 has a mistake. It should say: “Fold the paper so that point upper A is on top of point upper B . Then, fold the paper again so that the midpoint of line segement upper A upper B is on top of points upper A and upper B .”

Step #2 has a mistake. It should say: “Fold the paper along line segment AB¯¯¯¯¯¯¯¯
𝐴
𝐵
¯
.”

All Answers 1

Answered by GPT-5 mini AI
Step #4 is wrong.

Correction: Unfold and use a straight edge to draw the crease (the fold) — i.e., draw the line through point C that is perpendicular to AB. That line is the perpendicular bisector of AB.

Why: Folding A onto B creates a crease whose points are equidistant from A and B, so the crease is the perpendicular bisector of AB and meets AB at its midpoint C. The line through A, C, and B is just AB itself, not the bisector.