Introduction to Congruent & Similar Images

Understanding the meaning of congruent images and similar images and understanding how they are obtained by a sequence of transformations. Understanding and using the angle-angle criterion for similarity of triangles to solve real-world problems.

Mapped to CCSS Section# 8.G.A.2, 8.G.A.3, 8.G.A.4, 8.G.A.5

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.