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More Constructions.

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Presentation on theme: "More Constructions."— Presentation transcript:

1 More Constructions

2 Given a line and a point, construct a line through the point that is parallel to the given line.

3 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.

4 Second, draw a circle with whatever width you want, centered at J.

5 Third, draw a circle of the same radius, centered at R.

6 Set your compass width to the points where the first arc crosses the two lines.

7 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.

8 Draw a line from R to S. This is parallel to the given line.

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10 Given a line and a point, construct a line through the point that is perpendicular to the given line.

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12 You book gives a perpendicular postulate, which says that through any point there is exactly one perpendicular to a given line.

13 Given a point on a line, construct a perpendicular to the line through the point.

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15 REMEMBER: . Constructing. parallels . Constructing. perpendiculars 
REMEMBER:  Constructing parallels  Constructing perpendiculars  Perpendicular postulate


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