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 their corresponding side lengths 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 is approximately 39.37 inches.

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 ratio of their corresponding side lengths.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

What is the relationship between the side lengths of similar triangles?

Back

The ratios of the corresponding side lengths of similar triangles are equal.

Front

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

Back

To find the missing side length in similar figures, set up a proportion using the known side lengths and solve for the unknown.

Front

What is the significance of the term '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 figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and the ratios of their corresponding side lengths are equal.

Front

What is the measure of an angle in similar figures?

Back

The measure of corresponding angles in similar figures is always equal.