Congruent and Similar Triangles Chapter 1 / Whole Numbers and Introduction to Algebra Section 6.5 Congruent and Similar Triangles

Chapter 1 / Whole Numbers and Introduction to Algebra Congruent Triangles Two triangles are congruent when they have the same shape and the same size. Corresponding angles are equal, and corresponding sides are equal. equal angles a = 6 c = 11 d = 6 e = 11 b = 9 f = 9 equal angles equal angles

Chapter 1 / Whole Numbers and Introduction to Algebra Similar Triangles Similar triangles are found in art, engineering, architecture, biology, and chemistry. Two triangles are similar when they have the same shape but not necessarily the same size.

In similar triangles, the measures of corresponding angles are equal and corresponding sides are in proportion. d = 6 a = 3 b = 5 e = 10 c = 8 f = 16 Side a corresponds to side d, side b corresponds to side e, and side c corresponds to side f. a d = 3 6 1 2 b e = 5 10 1 2 c f = 8 16 1 2