Polygons

Term Paper Title	Polygons
# of Words	1537
# of Pages (250 words per page double spaced)	6.15

Polygons

1.  Perpendicular Bisector

· Construct a line segment, name it AB.
· Using a compass from point A make a small mark past the midpoint of the line segment, do the same from point B. The two marks should be equidistant from each point.
· Name one mark C, and the other mark D.
· Put the point of the compass on mark C and the pencil of the compass on mark D.  This will find the length from mark C to mark D, use it for the next step.
· From point C draw a semi-circle, do the same for mark D.  Make sure the two semi-circles intersect in two places.
· Using a straightedge line up where the two semi-circles intersect, construct a line.

2. Perpendicular Through A Point Not On The Line

· Construct a line, name it line AB.
· Draw a point anywhere above the line, name it point C.
·  From the point C construct an arc, making sure it intersects the drawn portion of the line making two points.  Name these new points D and E.
· Put the point of the compass on point D and the pencil of the compass on point E.  This will find the length from point D to point E, use this length for the next step.
· With the compass swing two arcs, one from point D and one from point E.  Make sure the two arcs intersect.
· Construct a line passing through point C and the point created by the intersection of the two arcs.

3. Perpendicular To A Line

· Construct a line with a point on it.  Name the line AB and the point, point C
· From point C using the compass make two marks where a circle would intersect with line AB.  Name one point D and one point E.
· Put the point of the compass on point D and the pencil of the compass on point E.  This will find the length from point D to point E, use this length for the next step.
· From point D make a semi-circle, do the same from point E.  Make sure the two semi-circles intersect with each other in two places.
· Using a straightedge line up point C and the two points where the semi-circles intersect.  Construct a line going from point C to line AB.

4. A Parallel Line To A Given Line

· Construct a line
· Draw a point anywhere above the line
·  From the point you drew construct an arc making sure it passes through the drawn portion of the line making two points
· Using the same distance from a point created by the arc to your original point swing two more arcs from the two points created making sure they intersect
· Construct a line passing through your original point and the point created by the intersection of the two arcs
· Draw another point not on the line
· From the point you drew construct an arc making sure it passes through the drawn portion of the line making two points
· Using the same distance from a point created by the arc to your original point swing two more arcs from the two points created making sure they intersect
· Construct a line passing through your original point and the point created by the intersection of the two arcs
· Measure from your original point to your original line on the perpendicular line you constructed
· Use the same measurement on the other perpendicular line that you constructed and make a point horizontal to your original point
· Construct a line passing through the two points that would make a parallel line  to your original line

5. Angle Bisector
· Construct an angle, name it angle ABC.
· From point B using your compass construct an arc making sure it passes through line segment BA and BC
· Where the arc passes through line segments BA and BC name these points D and E
· From point D swing an arc, do the same from point E.  Make sure these two arcs intersect.
· From point B using a straightedge construct a ray passing through the point where the two arcs intersect.

6. Altitude Of A Triangle
· Construct a triangle
· ...

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