Solving Proportions-Similar Figures

Front

What is a proportion?

Back

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

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding sides are in proportion.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

How do you find the missing side length in similar figures?

Back

To find the missing side length, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of 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 triangle ABC, there are 3 units in triangle DEF.

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If the scale factor of two similar triangles is 1:4, how do their areas compare?

Back

The area of the smaller triangle is 1/16 of the area of the larger triangle.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

If triangle PQR has sides of lengths 3, 4, and 5, and triangle XYZ is similar to it, what could be the lengths of its sides?

Back

The sides of triangle XYZ could be in the ratio of 3k, 4k, and 5k for some positive number k.