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More Constructions
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Given a line and a point, construct a line through the point that is parallel to the given line.
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Start by drawing a line from the point to the given line
Start by drawing a line from the point to the given line. Call the point where the lines intersect J.
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Second, draw a circle with whatever width you want, centered at J.
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Third, draw a circle of the same radius, centered at R.
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Set your compass width to the points where the first arc crosses the two lines.
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Move your compass to where the upper arc crosses the transversal, and copy the distance you just measured. Call the point where the arcs intersect S.
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Draw a line from R to S. This is parallel to the given line.
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Given a line and a point, construct a line through the point that is perpendicular to the given line.
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You book gives a perpendicular postulate, which says that through any point there is exactly one perpendicular to a given line.
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Given a point on a line, construct a perpendicular to the line through the point.
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REMEMBER: . Constructing. parallels . Constructing. perpendiculars
REMEMBER: Constructing parallels Constructing perpendiculars Perpendicular postulate
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