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 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 #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 #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 .” Skip to navigation

Answer 1

The mistake is in Step #4. The correct approach for Step #4 should be that the line drawn should pass through points A and B, not just through point C, because the line segment bisector is the line that divides the segment into two equal parts at point C.

Therefore, it should say: “Use a straight edge to draw a line that passes through points A and B. This line is not the bisector; rather, point C should be used only to indicate the midpoint, and then the line that connects points A and B is simply the original line segment, while C is the midpoint of line segment AB.”

However, the most straightforward correction would be to focus on the intersection of line segment AB with line bisector. The correct response addressing the mistake is:

Step #4 has a mistake. It should say: “Use a straight edge to draw the line segment AC and BC, indicating that point C is the midpoint of line segment AB, but that is not the bisector itself.”

To distinguish, the statement can maintain it's about "bisector" by indicating that it refers to the segment's partition, rather than a new line through A, C, or B.