Question

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)ResponsesStep #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 .”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¯¯¯¯¯¯¯¯.”

Answer 1

The mistake is in Step #4. The correct statement should indicate that the line should be drawn through point C, but it should not include points A and B. Thus, the correct 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¯¯¯¯¯¯¯¯.”**

This correction is necessary because the line segment bisector is defined as the line that passes through the midpoint (point C) and is perpendicular to line segment AB, not a line that goes through points A and B.