The document provides examples of classifying triangles by their sides and angles. Example 1 classifies a triangle as an acute isosceles triangle based on its two congruent sides and angle measurements. Example 2 classifies a triangle in the coordinate plane as a right scalene triangle by using the distance formula to find the side lengths, showing the angles are not congruent, and that one pair of slopes produces a right angle. The guided practice has students draw sample triangles and classify one given in the coordinate plane.