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

2. 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

3. 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.

4. 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