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 and E.
Keep the compass at the same width, and place it on point C.
Keeping the compass at the same width, place it on point F
Mark the intersection of the two arcs as point G.
Open the compass to the width between points D and 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 C.
Keep the compass at the same width, and place it on point C.
Swing an arc that crosses line BC, and label the point F.
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 C.
Mark the intersection of the two arcs as point G
Draw a line through point and point G.
Which student has steps in the correct order, and which does not? Explain.