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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 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¯¯¯¯¯¯¯¯
.”
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¯¯¯¯¯¯¯¯
.”

1 answer

The correct identification of the mistake 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 context, step #4 incorrectly states to draw a line passing through points A, C, and B. The correct bisector should only pass through point C, which is the midpoint found by the fold, rather than connecting back to points A and B directly. The bisector of the line segment AB would be a line that is perpendicular to line segment AB and passes through point C.