Proportions and Similar Figures

Front

What must be true about the sides of similar figures?

Back

Sides in similar figures must be proportional.

Front

What is a proportion?

Back

A proportion is when two ratios are equivalent and show the same value.

Front

What is the similarity statement for the triangle pair ΔYZX and ΔNWE?

Back

ΔYZX~ΔNWE

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

How do you find the height of a tall object using similar triangles?

Back

Use the properties of similar triangles to set up a proportion based on the lengths of corresponding sides.

Front

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

Back

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

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of corresponding sides are in proportion.

Front

Solve for x: 3/4 = x/16

Back

x = 12.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 2:3.

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.