Draw a line AD and mark points B and C on it.
At B and C, construct angle ABQ and angle BCS equal to
each other as shown. Produce QB and SC on the
other side of AD to form two lines PQ and RS.
Draw common perpendiculars EF and GH for the two lines PQ and RS. Measure the
lengths of EF and GH. What do you observe? What can you conclude from that? Recall that
if the perpendicular distance between two lines is the same, then they are parallel lines.
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