Unit 4 Flashcard: Similar and Congruent 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 are congruent figures?

Back

Congruent figures are shapes that are identical in shape and size. They can be superimposed on each other.

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 ratio of corresponding sides in similar figures?

Back

The ratio of corresponding sides in similar figures is a constant value that represents the proportional relationship between the sizes of the figures.

Front

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

Back

If two triangles are similar, all 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 ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you use proportions to find a missing side in similar figures?

Back

You can set up a proportion using the lengths of the known sides of the similar figures and solve for the missing side.

Front

If two figures are similar and one side of the first figure is 5 cm while the corresponding side of the second figure is 15 cm, what is the scale factor?

Back

The scale factor is 3.

Front

What is the scale factor of similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.