G.9 Similar Figures

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 their corresponding sides are in proportion.

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. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, then their corresponding angles are equal.

Front

If a scale factor is greater than 1, what happens to the size of the figure?

Back

If a scale factor is greater than 1, the figure gets bigger.

Front

If a scale factor is less than 1, what happens to the size of the figure?

Back

If a scale factor is less than 1, the figure gets smaller.

Front

What is the relationship between corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Front

Back

Front

How do you find a missing side in similar figures?

Back

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

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means they do not have the same shape, which can be due to differing angles or side lengths that are not proportional.

Front

What is the Angle-Angle (AA) similarity criterion for triangles?

Back

The Angle-Angle (AA) similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.