1. A triangle has three sides, three angles, and three vertices. 2. There are five criteria to determine if two triangles are congruent: side-angle-side, angle-side-angle, angle-angle-side, side-side-side, and right-angle-hypotenuse-side. 3. Properties of triangles include: angles opposite equal sides are equal; sides opposite equal angles are equal; the longer the side, the larger the opposite angle; and the sum of any two sides is greater than the third side.