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
 From one of the vertexes swing an arc on the opposite line segment, make sure the arc passes through the line segment in two places
 Name