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

Question

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)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 C (but not points A and B). This line is a bisector of AB."
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 along line segment AB."

Answer 1

The step with a mistake is Step #4. The correct version of Step #4 should say:

"Use a straight edge to draw a line that passes through point C, which is the intersection of the fold and line segment AB. This line is the perpendicular bisector of AB."

This means the best correction for Step #4 is:

"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."

To clarify, when Liam folds the paper to make point A coincide with point B, point C will mark the midpoint of segment AB. The line drawn through point C will be the perpendicular bisector of segment AB, properly bisecting it into two equal lengths.