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# Ch. 5 Theorems

### HS Freshman Honors Geometry 5-1~5-3 Theorems

TheoremTheorem Stated
5-1 Opposite sides of a parallelogram are congruent
5-2 Opposite angles of a parallelogram are congruent
5-3 Diagonals of a parallelogram bisect each other
5-4 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram
5-5 If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram
5-6 If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram
5-7 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram
5-8 If two lines are parallel, then all points on one line are equidistant from the other line
5-9 If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal
5-10 A line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side
5-11 The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half as long as the third side
parallelogram quadrilateral with both pairs of opposite sides parallel
Created by: xox.saras.xox