Similar Figures - 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 find the height of an object using proportions?

Back

To find the height of an object using proportions, set up a ratio comparing the height of the object to a known height, and solve for the unknown height.

Front

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

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Front

What is the formula for finding the missing side in similar figures?

Back

If two figures are similar, the ratio of the lengths of corresponding sides is equal. If a/b = c/d, then ad = bc.

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply and then isolate the variable.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 6, 8, and 10.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of any two corresponding lengths.

Front

How can you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.