2. Two students created a list of steps for the following construction. You are given AB and point C. Construct a line parallel to AB that passes through point C.
Student A
Draw a line that intersects points B and C.
Draw a line through point and point G.
Student B
Draw a line that intersects points B and C
Place the compass on point B, and swing an arc
that crosses line AB and line BC. Label the
points D and E
Keep the compass at the same width, and place
it on point
Keep the compass at the same width, and place
it on point C
Keeping the compass at the same width, place it
on point
Mark the intersection of the two arcs as point G.
Swing an arc that crosses line BC, and label the
point
Open the compass to the width between points D
and E
Keeping the compass at the same width, place it
on point F
Swing an arc that intersects the arc created from
line BC at point
Open the compass to the width between points
Dand E
Place the compass on point B, and swing an arc
that crosses line AB and line BC. Label the
points D and E
Swing an arc that crosses line BC, and label the
point F
Swing an arc that intersects the arc created from
line BC at point
Mark the intersection of the two arcs as point
Draw a line through point and point
Which student has steps in the correct order, and which does not? Explain.