Theorems Involving Parallel Lines

There are several theorems involving parallel lines that we have to be particularly concerned with.  They are:

1. If two lines are parallel, then all points on one line are equidistant from the other line.  (Remember that in geometry you always draw the shortest distance and the segment that is drawn will always intersect the other line at a 90 degree angle.)
2. If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
3. A line contains the midpoint of one side of a triangle and is parallel to another side then it passes through the midpoint of the third side.
4. The segment that joins the midpoints of two sides of a triangle is (1) parallel to the third side and (2) half as long as the third side.

From here you have two assignments to complete.  One is a group assignment the other is an individual assignment.  The group assignment will involve proofs and will be graded the same way you were graded.  The second assignment is an individual assessment about special quadrilaterals.

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