# Draw a line l and a point P not on l. Construct a perpendicular to l through P. Describe the construction steps and prove the steps are valid (i.e., that the line you construct is perpendicular to L.

Draw a line l and a point P not on l. Construct a perpendicular to l through P. Describe the construction steps and prove the steps are valid (i.e., that the line you construct is perpendicular to L.
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Sandra Randall
Draw a straight line with a ruler, and label that line as L. Somewhere off that line, draw your point P. Then, draw a straight line through P onto L. If you have a protractor, you can measure that the angles on either side measure 90 degrees. By definition of perpendicular, all the angles must be right angles in order to be perpendicular. If you have access to the program Geometer's Sketch Pad, or something similar, it will also confirm that the line is perpendicular by confirming that the angles created are 90 degrees.