An architect plans to make a drawing of the room of a house. The segment LM represents the floor of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown: A line segment LM is drawn. Two arcs equidistant from L on line LM are drawn at points P and T. A point Q is just above L. A compass is fixed at point Q and is shown making an arc at T.
Which of these is likely to be his next step in constructing the perpendicular line? Fix the compass at L and draw an arc above the line. Without changing the width of the compass, place the compass at Q and draw an arc through L. Fix the compass at points P and T and draw arcs which intersect below the line. Without changing the width of the compass, place the compass at M and draw an arc.
A line segment LM is drawn. Two arcs equidistant from L on line LM are drawn at points P and T. A point Q is just above L. A compass is fixed at point Q and is shown making an arc at T.
http://seminole.flvs.net/webdav/assessment_images/educator_geometry/v15/module01/0100_g8_q3.jpg
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