Question

Liam is planning to construct a line segment bisector of
. He plans to use the following steps:
Step #1: Create line segment
on my paper.
Step #2: Fold the paper so that point
is on top of point
.
Step #3: Unfold the paper and label the intersection of the fold and the line segment with point
.
Step #4: Use a straight edge to draw a line that passes through points
,
, and
. This line is abisector of
.
Which step has a mistake and how should the mistake be corrected?
(1 point)
¯A¯¯¯¯B¯¯¯
AB ¯¯¯¯¯¯¯¯
A B
C
A C B
AB ¯¯¯¯¯¯¯¯
Step #4 has a mistake. It should say: “Use a straight edge to draw a line that passes through point and
another line that passes through point . These lines are bisectors of .”
A
B AB ¯¯¯¯¯¯¯¯
Step #4 has a mistake. It should say: “Use a straight edge to draw a line that passes through point (but
not points and ). This line is a bisector of .”
C
A B AB ¯¯¯¯¯¯¯¯
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 so that point is on top of point . Then, fold the
paper again so that the midpoint of is on top of points and .”
A B
AB ¯¯¯¯¯¯¯¯ A B

Answer 1

Step #4 is wrong. When you fold A onto B the fold (crease) meets AB at the midpoint C, but the crease is perpendicular to AB and does not pass through A or B. The correct instruction is:

“Use a straightedge to draw the line through point C that is perpendicular to AB (or simply draw the crease). This line is the bisector of AB.”