Joe uses the following steps to construct a perpendicular line through a point C on a line segment.

Step 1: From point C, draw an arc intersecting the line segment in points A and B.
Step 2: Use a straightedge to draw an arc from point A, one above and the other below the line.
Step 3: Without changing the compass width, draw two arcs from point B, above and below the line segment.
Step 4: Label the point of intersection of the arcs above the line segment as Q and below the line as R.
Step 5: Using a straightedge, join points Q and R.

Question

Joe uses the following steps to construct a perpendicular line through a point C on a line segment.

Step 1: From point C, draw an arc intersecting the line segment in points A and B.
Step 2: Use a straightedge to draw an arc from point A, one above and the other below the line.
Step 3: Without changing the compass width, draw two arcs from point B, above and below the line segment.
Step 4: Label the point of intersection of the arcs above the line segment as Q and below the line as R.
Step 5: Using a straightedge, join points Q and R.

anonymous · Answer

Part A: Which is the first incorrect step?
Part B: Using complete sentences, explain your answer for Part A.
Part C: Explain why a compass works for the construction done by Joe.

radar · Answer

For part A, I think step 2 is incorrect, using a straight edge to draw arcs above and below, would not a compass be the tool to use?

anonymous · Answer

Thats what i was thinking

radar · Answer

For Part B, I would state, Use a compass to draw arcs above and below the line from Point A.

anonymous · Answer

yeah because these are the steps to create perpendicular lines

You are given a line and a point on the line. 

Mark the intersection point of these two lines.
Place the compass on this intersection and swing an arc on either side of this point, making sure to cross the given line on both sides.
Mark the two intersection points of the given line and two arcs. 
Place the compass on one of these intersection points and draw two arcs, one on either side of the given line. 
Keeping the compass at the same width, place the compass on the second intersection point and draw two arcs, one on either side of the line. Make sure that the two arcs on either side of the line intersect one another.
Mark the intersection point of the two arcs on either side of the line.
Draw a line through these two intersection points. 
This new line is perpendicular to the given line.
yeah because these are the steps to create perpendicular lines

anonymous · Answer

And is Part C: because the compass keeps the lengths the same?

radar · Answer

Yes, using the compass you have created a square whose vertices are A, B, Q, and R.  The diagonals intersect at point C and they are perpendicular.

anonymous · Answer

@radar thank you so much!!! Do you think you can help me with another?

anonymous · Answer

was the answer right?