Two triangles are similar if and only if their corresponding sides are all in the same ratio.Two triangles are similar if and only if their corresponding angles are equal. Two angles of a triangle are congruent if and only if the sides opposite those angles are congruent.The side-side-side, side-angle-side, and angle-side-angle conditions for congruence of two triangles.The measure of an exterior angle of a triangle equals the sum of the measures of the two nonadjacent interior angles.The sum of the measures of the angles of atriangle is 180°.The perpendicular bisector of a line segment is the set of all points equidistant from the endpoints of the segment.If a transversal crosses two lines so as to make the corresponding angles (or alternate interior angles) congruent, then the two lines are parallel.If two parallel lines are cut by a transversal, then the alternate interior angles are congruent and the corresponding angles are congruent.When two lines intersect, the vertical angles formed are congruent.If there are any other items you think should be on this list, please contact me.However, be sure in writing up problem solutions to help the reader know what fact you are using when. These are mathematical facts you may assume in solving problems in this class.If you think there is somethingI have left off this list that is needed to solve a problem, please ask me Please Note: You may use the facts, formulas, and theorems below in your solutions unlessyou are being asked to derive the formula or a special case, explain whythe theorem or a special case is true, etc. WHAT YOU MAY ASSUME IN SOLVING PROBLEMS M 360M/396C, Fall 04
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