7.1 - 7.4 Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you determine if two polygons are similar?

Back

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

Front

What is the similarity statement for two similar triangles?

Back

The similarity statement is written as ΔABC ~ ΔDEF, indicating that triangle ABC is similar to triangle DEF.

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

What is the formula for finding the missing length in similar polygons?

Back

If two polygons are similar, the ratio of corresponding sides can be used to set up a proportion to find the missing length.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

How can you use cross-multiplication to solve proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the products equal to each other.

Front

What is the scale factor in similar figures?

Back

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

Front

If the scale factor of two similar triangles is 2:3, what does this mean?

Back

This means that for every 2 units in one triangle, there are 3 units in the corresponding side of the other triangle.

Front

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

Back

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