Unit 5 Test Review

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find the value of x in similar triangles?

Back

You can use the property of proportionality of corresponding sides to set up a proportion and solve for x.

Front

What is a proportion?

Back

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

Front

If triangle ADE is similar to triangle ABC, and the lengths of sides are in the ratio 2:3, what is the value of x if one side of triangle ADE is 4?

Back

x = 6 (because 4/2 = x/3).

Front

What is the formula for finding the missing side length in similar figures?

Back

If a/b = c/d, then ad = bc, where a and b are sides of one figure and c and d are corresponding sides of another.

Front

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

Back

The corresponding angles of similar polygons are equal.

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 the side lengths of two similar triangles are in the ratio 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16 (since 1^2:4^2 = 1:16).

Front

What is the value of x if triangle DEF is similar to triangle GHI and the sides are in the ratio 3:5, with one side of DEF measuring 9?

Back

x = 15 (because 9/3 = x/5).

Front

How can you determine if two triangles are similar using the AA criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.