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 the ratios of their corresponding sides are proportional.

Front

What is the criterion for two figures to be similar?

Back

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

Front

What are corresponding sides?

Back

Corresponding sides are the sides of two or more figures that are in the same relative position.

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, what can be said about the sides?

Back

The ratios of the lengths of corresponding sides of triangle ABC and triangle DEF are equal.

Front

What does it mean if the ratios of corresponding sides are not equal?

Back

If the ratios of corresponding sides are not equal, then the figures are not similar.

Front

True or False: In similar figures, the corresponding angles are always equal.

Back

True

Front

If the length of one side of a triangle is 4 cm and the corresponding side of a similar triangle is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

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.

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.