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 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 the sides of similar figures?

Back

The lengths of corresponding sides of similar figures are in the same ratio.

Front

What is a proportion in mathematics?

Back

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

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

If triangle A is similar to triangle B, and the length of a side of triangle A is 4 cm, what is the length of the corresponding side in triangle B if the ratio of similarity is 2:1?

Back

The length of the corresponding side in triangle B is 2 cm.

Front

What does it mean if two figures are neither congruent nor similar?

Back

If two figures are neither congruent nor similar, they do not have the same shape, size, or proportional relationships.

Front

How do you solve for x in a proportion?

Back

To solve for x in a proportion, cross-multiply and then isolate x.