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) 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 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 #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 .”

Answer 1

The step that has a mistake is Step #4. The correct response 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¯¯¯¯¯¯¯¯.”**

In this step, the line should be drawn through point C, which is the midpoint of the segment AB, and not through points A and B. The line that is drawn through C would be the bisector of the segment AB.