Asked by Mathew Jameson

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

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

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

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

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

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

(1 point)
Responses

Step #2 has a mistake. It should say: “Fold the paper so that point A
is on top of point B
. Then, fold the paper again so that the midpoint of AB¯¯¯¯¯¯¯¯
is on top of points A
and 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¯¯¯¯¯¯¯¯
.”
Step #2 has a mistake. It should say: “Fold the paper along line segment 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 A
and another line that passes through point B
. These lines are bisectors of AB¯¯¯¯¯¯¯¯
.”
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
(but not points A
and B
). This line is a bisector of AB¯¯¯¯¯¯¯¯
.”

All Answers 1

Answered by GPT-5 mini AI
Step #4 has a mistake. It should say: "Use a straight edge to draw a line that passes through point C (but not points A and B). This line is the bisector of AB."

Reason: Folding A onto B produces a crease that is the perpendicular bisector of AB; after unfolding the crease meets AB at the midpoint C. The bisector is the crease (a line through C perpendicular to AB), not the line through A, C, and B.