Similar Figures (VA SOL 7.5)

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the scale factor in similar figures?

Back

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

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

If two rectangles are similar, what can you say about their sides?

Back

The ratios of the lengths of corresponding sides of similar rectangles are equal.

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If the scale factor between two similar figures is 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9, since (2^2):(3^2) = 4:9.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship where two quantities maintain a constant ratio.

Front

How can you find the missing side length of a similar figure?

Back

You can find the missing side length by setting up a proportion using the lengths of corresponding sides.

Front

What does it mean for two figures to be congruent?

Back

Congruent figures are identical in shape and size, meaning all corresponding sides and angles are equal.