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Ladders and Saws Relationships: 1) The sum of the degree measures of the angles in a triangle is 180º. 2) Vertical angles are congruent. 3) Alternate interior (exterior) angles are congruent (with parallel lines). 4) Corresponding angles are congruent (with parallel lines). 5) Same-side interior angles are congruent (with parallel lines). 6) Two lines parallel to a third line are parallel to each other. 7) The measure of the exterior angle of a triangle equals the sum of the measures of the two remote interior angles. 8) Opposite sides of a parallelogram are congruent. 9) Opposite angles of a parallelogram are congruent. 10) The segment joining the midpoints of two sides of a triangle is parallel to the third side and has a length equal to half the sum of the third side. 11) The ratio of the perimeters of two similar triangles is the same as the scale factor of the similar triangles. 12) The ratio of the areas of two similar triangles is the square of the scale factor of the similar triangles. 13) The sum of the degree measures of the exterior angles of any convex polygon, one angle at each vertex, is 360º. 14) The sum of the degree measures of the angles of a quadrilateral is 360º. 15) The sum of the degree measures of the angles of a hexagon is 720º.