Similar Figures 2

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 ratios of their corresponding sides are proportional.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

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

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 triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

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

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding sides.

Front

If the scale factor of two similar rectangles is 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25.

Front

How do you find a missing side length in similar figures?

Back

To find a missing side length, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

If two similar figures have a scale factor of 1:4, and one side of the smaller figure is 5 cm, what is the corresponding side of the larger figure?

Back

The corresponding side of the larger figure is 20 cm.

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means that their corresponding angles are not equal or the ratios of their corresponding sides are not equal.