Similar Figures and Proportions Review

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 is the definition of proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be expressed as a/b = c/d, where a, b, c, and d are numbers.

Front

How do 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 in proportion.

Front

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

Back

To find a missing side in similar figures, use the proportion of corresponding sides: (side1 / side2) = (missing side / corresponding side).

Front

What is the cross-multiplication method in proportions?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio to find a missing value. If a/b = c/d, then a*d = b*c.

Front

What is the significance of the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

How can you solve for a variable in a proportion?

Back

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

Front

What is the relationship between the areas of similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

What is an example of a real-world application of similar figures?

Back

An example of a real-world application of similar figures is in architecture, where the dimensions of a model building are proportional to the actual building.

Front

How do you set up a proportion to find a missing side?

Back

To set up a proportion, identify the lengths of the known sides of the similar figures and the corresponding sides, then create a ratio using these lengths.