Unit 4 Final Exam Review (Fall - 4.1 & 4.2)

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. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

How do you find the missing side in similar triangles?

Back

To find the missing side in similar triangles, set up a proportion using the lengths of the corresponding sides of the triangles and solve for the unknown.

Front

What is a scale factor in dilation?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much the figure is enlarged or reduced.

Front

If the scale factor of a dilation is 2, what does this mean?

Back

A scale factor of 2 means that the image is twice the size of the original figure.

Front

What is the relationship between angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

How do you determine the measure of an angle in a triangle?

Back

To determine the measure of an angle in a triangle, you can use the triangle sum theorem, which states that the sum of the interior angles of a triangle is always 180°.

Front

What is a proportion?

Back

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

Front

How can you use proportions to solve for a missing side in similar triangles?

Back

You can set up a proportion using the lengths of the known sides and the unknown side, then cross-multiply and solve for the unknown.

Front

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

Back

If triangle ABC is similar to triangle DEF, then the ratio of the lengths of corresponding sides is equal: AB/DE = BC/EF = AC/DF.

Front

What does it mean to find the length of DE in a triangle?

Back

Finding the length of DE means determining the length of the side DE in triangle DEF, often using the properties of similar triangles.