Similar Figures

Front

What are similar figures?

Back

Two figures that have the same shape but may differ in size.

Front

Are all angles in similar figures congruent?

Back

Yes, all corresponding angles in similar figures are congruent.

Front

What are corresponding sides?

Back

Sides in similar figures that are in the same relative position.

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

What is the relationship between the areas of two similar figures?

Back

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

Front

If the sides of one triangle are 2 ft, 3 ft, and 4 ft, and the sides of a similar triangle are 4 ft, 6 ft, and 8 ft, are they similar?

Back

Yes, because the side lengths are proportional (2:4, 3:6, 4:8).

Front

What does it mean if two figures are not similar?

Back

They do not have the same shape or their corresponding sides are not proportional.

Front

What is the scale factor in similar figures?

Back

The ratio of the lengths of corresponding sides of two similar figures.

Front

If a triangle has sides of 5 cm, 12 cm, and 13 cm, and another triangle has a side of 10 cm, what is the length of the other sides?

Back

The other sides will be 24 cm and 26 cm, maintaining the same ratio.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are the same shape and size, while similar figures are the same shape but different sizes.