Question

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? Check the angles used in the construction with a straightedge to ensure consistency. Check the distance along the lines at several places with a compass to ensure they are the same length. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Check the distance between the lines at several places with a compass to ensure they are equidistant.

Answer 1

Use the corner of a piece of paper to ensure the lines create 90° angle.

Explanation:

When constructing a perpendicular line through a point of a line, we have to verify that the lines constructed are perpendicular.

When we are going to draw a perpendicular line on another line at a point with help of a compass or using a protector, there may be some error in drawing and some error there can be in the perpendicular line.

So, the simple way to check whether the angles drawn are perfectly 90° or not is to use the corner of a piece of paper to ensure the lines create a 90° angle. (Answer)