Similar Figures

Front

What are similar figures?

Back

Two figures 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

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

Back

All pairs of corresponding angles are congruent.

Front

If the sides of two similar triangles are in the ratio 2:3, what can we say about their areas?

Back

The ratio of their areas will be the square of the ratio of their corresponding sides, which is 4:9.

Front

What is the relationship between corresponding sides of similar figures?

Back

The ratios of the lengths of corresponding sides are equal.

Front

How can you determine if two figures are similar?

Back

Check if all pairs of corresponding angles are congruent and the ratios of corresponding sides are equal.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same shape and size, meaning all corresponding sides and 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 6 cm, what is the ratio of AB to DE?

Back

The ratio of AB to DE is 4:6, which simplifies to 2:3.

Front

What is the term for figures that have the same shape but are not the same size?

Back

Similar.

Front

If two shapes are not congruent, what can we say about their corresponding sides and angles?

Back

At least one pair of corresponding sides or angles is different.

Front

What is the significance of corresponding angles in similar figures?

Back

Corresponding angles must be equal for the figures to be considered similar.