Question

What is a necessary step for constructing perpendicular lines through a point off the line?

Answer 1

Perpendicular lines meet at a right angle.

To construct perpendicular lines, it is necessary to (c) Draw arcs on either side of a given point on the line

The steps to draw perpendicular lines are as follows:

• Place the compass at the endpoint of a line
• Draw two arcs with the pencil end of the compass on either side of the point, off the line
• Place the compass at the other endpoint of the line
• Repeat step 2 to intersect with the arcs at step 2
• Trace the point of intersection of both arc to the line.

In the above steps, step 2 and 4 indicates that arcs must be drawn at either sides of the point of the perpendicular line

This means that: (c) is true

See attachment for construction of perpendicular lines

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