Question

Jason uses the following steps to construct a perpendicular 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: Draw two arcs from point A, one above and the other below the line segment.
Step 3: Using slightly more 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 D and below the line as E.
Step 5: Using a straightedge, join points D and E.

Answer 1

Which is the first incorrect step and how do you know? Explain why a compass works for the construction done by Jason.

Answer 2

i guess the option 3 is incorrect...because you can't vary the width of compass whilst drawing perpendicular line...which means the width of compass will be same if arc is drawn from A and B...

Answer 3

as far as working of compass is concerned .....draw a line segment ....take a width of compass more than half of the line segment put the point of compass at A draw an arc below and above....similarly with the same width of compass draw arc putting the point of compass at B and hence join the straight edge