Similar Figures and Solving Proportions

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are in proportion.

Front

What does it mean for two figures to be in proportion?

Back

Two figures are in proportion when the ratios of their corresponding side lengths are equal.

Front

If two triangles are similar, what can we say about their angles?

Back

The corresponding angles of similar triangles are equal.

Front

How do you find the length of a side in similar figures?

Back

To find the length of a side in similar figures, set up a proportion using the lengths of corresponding sides and solve for the unknown length.

Front

What is the formula for solving proportions?

Back

Front

What is a corresponding side in similar figures?

Back

A corresponding side in similar figures is a side that is in the same position in both figures.

Front

If triangle ABC is similar to triangle DEF, what does that imply about side lengths?

Back

Front

What is the relationship between the perimeters of similar figures?

Back

The ratios of the perimeters of similar figures are equal to the ratios of their corresponding side lengths.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if they have two pairs of equal angles (AA criterion) or if the lengths of their corresponding sides are in proportion (SSS criterion).

Front

What is the scale factor in similar figures?

Back

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