Proportions and Similar Triangles

Front

What is a proportion?

Back

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

Front

What are similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

How do you determine if two triangles are similar?

Back

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

Front

What is the cross-multiplication method used for?

Back

The cross-multiplication method is used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If two triangles have sides in the ratio 3:4, what can be said about their similarity?

Back

If the corresponding angles are also equal, then the triangles are similar.

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If a recipe calls for 2 cups of sugar for every 3 cups of flour, how much sugar is needed for 6 cups of flour?

Back

4 cups of sugar.

Front

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

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

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 2:1.