Question

her steps are shown.
step 1 she plots a point, c, on line k.
step 2 she places the compass on point c and adjusts its width to point b.
step 3 using the same width from step 2, she keeps the compass on point c and draws an arc that intersects line k.
step 4 she labels the intersection as point d.
which statement describes why line segment cd is not a copy of line segment ab?
a in step 2, she adjusted the width to point b instead of point a.
b in step 2, she placed the compass on point c instead of point a.
c in step 3, she kept the compass on point c instead of moving it to point b.
d in step 3, she used the same width from step 2 instead of a greater width.

Explanation:

To copy segment \( AB \), the compass width should be set to the length of \( AB \), i.e., from \( A \) to \( B \). In Step 2, adjusting to \( B \) (instead of \( A \)) would mean the width is not \( AB \)'s length. The other options are incorrect: placing on \( C \) (Step 2) is part of constructing on line \( k \), keeping on \( C \) (Step 3) is correct for drawing the arc, and using the same width (Step 3) is necessary, not a greater width.

Answer:

A. In Step 2, she adjusted the width to point \( B \) instead of point \( A \).