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)

Answer 1

The mistake is in Step #4. The line drawn through points A, C, and B is not the bisector of segment AB. Instead, point C is the midpoint of segment AB, meaning that it is the point where the line segment is divided into two equal parts, but it does not require drawing a line through C along with A and B.

To correct this, Step #4 should be adjusted to state:

Step #4: Use a straight edge to draw a line that is perpendicular to line segment AB at point C. This line is the bisector of AB.

In this way, the line will properly bisect segment AB into two equal segments at point C.