Similar and Congruent Figures

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape.

Front

If ΔABC ≅ ΔDEF, what can we conclude about the corresponding sides?

Back

The corresponding sides are equal in length.

Front

What is the relationship between corresponding angles in congruent figures?

Back

All corresponding angles in congruent figures are congruent.

Front

Define similar figures.

Back

Similar figures have the same shape but may have different sizes.

Front

If two triangles are similar, what can we say about their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

What is a proportion in the context of similar figures?

Back

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

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9 (the square of the side ratio).

Front

How do you determine if two figures are congruent?

Back

Two figures are congruent if they can be superimposed on each other.

Front

What is the symbol for congruence?

Back

The symbol for congruence is ≅.

Front

If ΔXYZ ≅ ΔABC, what is the corresponding side to XY?

Back

The corresponding side to XY is AB.