Similar and Congruent Figures

Front

What are similar figures?

Back

Figures that have the same shape but different sizes.

Front

What are congruent figures?

Back

Figures that are the same shape and size.

Front

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

Back

All corresponding angles are congruent.

Front

If the width of a rectangle is enlarged proportionally, how does it affect the length?

Back

The length must also be enlarged proportionally to maintain similarity.

Front

What is a similarity statement?

Back

A statement that shows two figures are similar, e.g., ΔABC~ΔDEF.

Front

How do you set up a proportion for similar figures?

Back

By comparing the ratios of corresponding sides.

Front

If a triangle has sides of 3 cm, 4 cm, and 5 cm, what are the sides of a similar triangle if the longest side is 10 cm?

Back

The sides are 6 cm, 8 cm, and 10 cm.

Front

What is the scale factor in similar figures?

Back

The ratio of the lengths of corresponding sides.

Front

If two figures are similar with a scale factor of 2, what happens to the area?

Back

The area increases by a factor of 2² = 4.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters is the same as the ratio of the corresponding sides.