Similarity Unit 4 (CIA 2) Review

Front

What is similarity in geometry?

Back

Similarity in geometry refers to the relationship between two shapes that have the same shape but may differ in size. This means that their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar figures, it is the ratio of the lengths of corresponding sides of two similar figures.

Front

How do you set up a proportion for similar triangles?

Back

To set up a proportion for similar triangles, compare the lengths of corresponding sides. For triangles ABC and DEF, if AB/DE = AC/DF, then the triangles are similar.

Front

What is the similarity statement for triangles?

Back

A similarity statement indicates that two triangles are similar. It is written as ΔABC ∼ ΔDEF, meaning triangle ABC is similar to triangle DEF.

Front

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

Back

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

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional.

Front

If triangle ABC is similar to triangle DEF, and AB = 6, DE = 9, what is the scale factor?

Back

The scale factor k = AB/DE = 6/9 = 2/3.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor k can be found using the formula k = length of a side in the first figure / length of the corresponding side in the second figure.