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)
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 Modifying above upper A upper B with bar 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 Modifying above upper A upper B with bar .”

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 #4 has a mistake. It should say: “Use a straight edge to draw a line that passes through point upper C (but not points upper A and upper B ). This line is a bisector of Modifying above upper A upper B with bar .”

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 Modifying above upper A upper B with bar .”

Answer 1

The mistake is in Step #4. The current instruction to draw a line that passes through points A, C, and B does not actually provide a clear bisector; instead, it implies drawing a line directly through the segment, which does not define a bisector.

The correct instruction should emphasize that the line drawn only needs to pass through point C, since point C is the point of intersection from the folds which will bisect segment AB.

So, the best option is:

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¯¯¯¯¯¯¯¯.”