Similar Figures and Proportions

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 the lengths of their corresponding sides are proportional.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding side lengths are equal.

Front

How do you convert meters to inches?

Back

To convert meters to inches, multiply the number of meters by 39.37 (since 1 meter = 39.37 inches).

Front

If a roll of wire holds 3 meters of wire, how many inches does it hold?

Back

118.11 inches.

Front

What is the formula for finding the missing side of similar triangles?

Back

The formula is: (side length of triangle 1) / (side length of triangle 2) = (corresponding side length of triangle 1) / (corresponding side length of triangle 2).

Front

If two triangles are similar, what can we say about their angles?

Back

The corresponding angles of similar triangles are equal.

Front

What is the scale factor in similar figures?

Back

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

Front

How do you find the scale factor between two similar figures?

Back

To find the scale factor, divide the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 5 cm and side DE is 10 cm, what is the scale factor?

Back

The scale factor is 2 (10 cm / 5 cm).

Front

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

Back

The ratio of the areas of two similar figures is equal to the square of the scale factor.