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When constructing perpendicular lines with a compass and straightedge, how should you start the construction?

2 Answers

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Final answer:

To start constructing perpendicular lines with a compass and straightedge, draw a straight line and use a compass to create intersecting arcs from the line, then draw a straight line through the intersections.

Step-by-step explanation:

When constructing perpendicular lines with a compass and straightedge, typically you should start by drawing a straight line that will represent one of the lines you want to be perpendicular to. Then, you use the compass to create two arcs from two points on the line. These arcs should intersect in two places above and below the line. A straight line through the points of intersection of these arcs will be perpendicular to the original line. This method ensures that the angle between the lines is 90 degrees.

User Nulll
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1.) Draw a line segment somewhere on the paper and label it line m.
2.) Mark a point somewhere on the paper but not on the line, label this point r.
3.) Fold the paper on point r. Make sure the line is folded in top of itself
4.)Trace the fold with your pencil/pen
5.) label the intersection point P
User Masyaf
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