Writing Proportions for Similar Quadrilaterals and Triangles

Front

What is a proportion?

Back

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

Front

How do you write a proportion for similar triangles?

Back

Front

What does it mean for quadrilaterals to be similar?

Back

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

Front

If triangle ABC is similar to triangle DEF, what can we say about their angles?

Back

The corresponding angles of similar triangles are equal.

Front

How can you find a missing side in similar triangles?

Back

You can find a missing side by setting up a proportion using the lengths of the corresponding sides.

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 AB = 4 cm and DE = 8 cm, what is the scale factor from triangle ABC to triangle DEF?

Back

Front

What is the relationship between the areas of two 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

If the scale factor of two similar triangles is 3:5, what is the ratio of their areas?

Back

Front

How do you set up a proportion to solve for a missing side?

Back

To set up a proportion, write the ratio of the known side to the missing side equal to the ratio of the corresponding sides from the other triangle.