Unit 7 Proportions and Similarities Review

Front

What is a proportion?

Back

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

Front

How do you solve for a missing side in similar triangles?

Back

Use the property of proportions: (length of side in triangle 1) / (length of corresponding side in triangle 2) = (length of missing side) / (length of corresponding side in triangle 2).

Front

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

Back

The ratios of the lengths of corresponding sides are equal.

Front

What is the formula for finding the length of a side in a similar figure?

Back

Length of side in figure 1 / Length of corresponding side in figure 2 = Scale factor.

Front

If a mini bar is 5cm long and a large bar is 14cm wide, how do you find the length of the large bar?

Back

Set up a proportion: 5cm / 14cm = length of large bar / width of large bar.

Front

What is the scale factor if a triangle has sides 3k, 6k, and 10k?

Back

The scale factor is k, which can be used to find the lengths of similar triangles.

Front

How do you write a similarity statement for two triangles?

Back

Use the notation ΔABC ∼ ΔDEF, indicating that triangle ABC is similar to triangle DEF.

Front

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

Back

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

Front

If triangle A has sides 3, 4, 5, what are the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 6, 8, and 10.

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size.