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Triangles: Side-Side-Side (SSS) Congruence If two angles of a triangle are congruent, the sides opposite these angles are congruent. If two sides of a triangle are congruent, the angles opposite these sides are congruent. The measure of an exterior angle of a triangle is greater than either non-adjacent interior angle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. The sum of the interior angles of a triangle is 180º.

If two angles form a linear pair, they are supplementary.

Supplements of the same angle, or congruent angles, are congruent.Ĭomplements of the same angle, or congruent angles, are congruent. The whole is equal to the sum of its parts.Īngle Addition Postulate: mequal quantities are multiplied by equal quantities, the products are equal. If equal quantities are subtracted from equal quantities, the differences are equal.

If equal quantities are added to equal quantities, the sums are equal. General: Reflexive PropertyĪ quantity is congruent (equal) to itself. You need to have a thorough understanding of these items. This is a partial listing of the more popular theorems, postulates and properties needed when working with Euclidean proofs.