Similar Figures

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does 'corresponding' mean in the context of similar figures?

Back

It means matching; corresponding sides or angles are those that are in the same relative position in different figures.

Front

What is the relationship between the angles of similar figures?

Back

Corresponding angles are congruent (equal in measure).

Front

What is the relationship between the sides of similar figures?

Back

The ratios of the lengths of corresponding sides are equal (proportional).

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

How do you find the missing side length in similar figures?

Back

Set up a proportion using the lengths of corresponding sides and solve for the unknown.

Front

What is a proportion?

Back

An equation that states that two ratios are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, AC = 6, and DE = 8, what is the length of DF?

Back

DF = 12, because the ratio of sides is 4:6 = 8:DF, leading to DF = 12.

Front

What is the formula for finding the scale factor between two similar figures?

Back

Scale factor = length of a side of one figure / length of the corresponding side of the other figure.

Front

If the scale factor of two similar figures is 3:5, what does this mean?

Back

For every 3 units in one figure, there are 5 units in the corresponding side of the other figure.