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 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 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 along line segment AB¯¯¯¯¯¯¯¯ .”

Answer 1

The mistake is in Step #4. The correct interpretation of a line segment bisector is that it passes through points A, C, and B, where C is the midpoint of AB. Therefore, the best correction is:

Step #4 has a mistake. It should say: “Use a straight edge to draw a line that passes through points A, C, and B. This line is a bisector of AB¯¯¯¯¯¯¯¯ .”

This ensures that the bisector is properly represented as the line through points A and B, intersecting the line segment at its midpoint, C.

Answer 2

that's not an option

Answer 3

I apologize for the oversight. Based on the provided options, the mistake is in Step #4, and the most relevant 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 clarifies that while point C is indeed the midpoint, the segment drawn should accurately depict the line that ideally bisects AB, emphasizing the significance of C. Thank you for your patience!