Congruent vs. Similar Figures

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

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 their corresponding sides are in proportion.

Front

How can you determine if two figures are congruent?

Back

Two figures are congruent if all corresponding sides and angles are equal.

Front

How can you determine if two figures are similar?

Back

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

Front

What is the relationship between congruent and similar figures?

Back

All congruent figures are similar, but not all similar figures are congruent.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if the corresponding angles are also equal, the triangles are similar.

Front

What is a proportion in mathematics?

Back

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

Front

Solve the proportion: 2/3 = x/12. What is x?

Back

x = 8.

Front

Solve the proportion: 5/c = 15/9. What is c?

Back

c = 3.

Front

If two shapes are similar, what can you say about their perimeters?

Back

The ratio of their perimeters is the same as the ratio of their corresponding sides.