Geometry - June 2010

20 The diagram below shows the construction of a line through point P perpendicular to line m.

Which statement is demonstrated by this construction?

(1) If a line is parallel to a line that is perpendicular to a
third line, then the line is also perpendicular to the third
line.

(2) The set of points equidistant from the endpoints of a line
segment is the perpendicular bisector of the segment.

(3) Two lines are perpendicular if they are equidistant from a
given point.

(4) Two lines are perpendicular if they intersect to form a
vertical line.

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