Similar Figures G.9

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the similarity statement for triangles?

Back

The similarity statement indicates which triangles are similar, e.g., if triangles A and B are similar, it can be written as ΔABC~ΔDEF.

Front

Back

Front

What is the relationship between the sides of similar figures?

Back

The sides of similar figures must be proportional.

Front

Back

k represents the scale factor between the two similar figures.

Front

How do you find a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing side.

Front

What is the scale factor?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

Back

Front

What is the significance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal, which is a key criterion for similarity.

Front

Back