7.MG.2 Similar Figures

Front

What is true about the shape and size of similar figures?

Back

Similar figures have the same shape and proportional size.

Front

Back

It means that the corresponding angles of the triangles are equal and the lengths of corresponding sides are proportional.

Front

Back

The corresponding angles are equal.

Front

If two triangles are similar, how do their corresponding sides relate?

Back

The lengths of 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.

Front

Back

Front

Back

Angle D also measures 45 degrees.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

If the side lengths of two similar triangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25.

Front

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

Back

Use the proportion of the corresponding sides to set up a ratio and solve for the unknown length.