Similar Figures

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape and their corresponding side lengths are proportional.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are congruent.

Front

What is the term for shapes that are the same shape and the same size?

Back

Congruent.

Front

How can you determine if two figures are similar?

Back

Two figures are similar if their corresponding sides are in proportion and their corresponding angles are congruent.

Front

What is a scale factor in the context of similar figures?

Back

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

Front

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

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Front

What is the scale factor if a shape is enlarged from a size of 3 to a size of 6?

Back

The scale factor is 2.

Front

Can two figures be similar if one is a reflection of the other?

Back

Yes, two figures can be similar if one is a reflection of the other, as long as their corresponding sides are proportional and angles are congruent.

Front

What is the significance of corresponding sides in determining similarity?

Back

Corresponding sides must be in proportion for two figures to be considered similar.

Front

If two figures are similar and one has a side length of 4, what could be a possible side length of the other figure if the scale factor is 3?

Back

The corresponding side length of the other figure would be 12 (4 x 3).