Triangle Similarity and Scale Factors

Understanding congruent triangles

Exploring similar triangles and their properties

Studying the Pythagorean theorem

Learning about right triangles

Two pairs of equal angles

One pair of equal angles and proportional side lengths

Two pairs of proportional side lengths

Three pairs of equal angles

Angle-Angle Criterion

Angle-Side-Angle Criterion

Proportional Side Lengths

Side-Side-Side Criterion

If the triangles are congruent

If the lines are parallel

If the angles are equal

If the triangles are right-angled

They are not similar because they are congruent

They are not similar because the scale factors differ

They are similar because the angles are equal

They are similar because the lines are parallel

4

1.5

3

2

7

4

5

6

2

1.5

1.75

1.25

4

5

6

7

They are similar because the angles are equal

They are not similar because the lines are not parallel

They are not similar because the angles are not equal

They are similar because the scale factor is consistent