Similar Figures

Front

What are similar figures?

Back

Figures that have the same shape but not necessarily the same size.

Front

What does 'corresponding' mean in the context of similar figures?

Back

It means matching, referring to angles or sides that are in the same relative position.

Front

What is true about the sides of similar figures?

Back

The ratios of the lengths of corresponding sides are equal.

Front

What is true about the angles of similar figures?

Back

Corresponding angles are congruent.

Front

Back

Front

If the sides of two similar triangles are in the ratio 2:3, what can be said about their areas?

Back

The ratio of their areas will be 4:9 (the square of the ratio of the sides).

Front

What is the relationship between the scale factor and the corresponding sides of similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides.

Front

Back

The scale factor is 1:2.

Front

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

Back

Use the scale factor to multiply or divide the length of the corresponding side.

Front

What is the significance of corresponding sides in similar figures?

Back

They help determine the scale factor and verify similarity.