unit 5 Target 1-3

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you set up a proportion to find a score needed on a test?

Back

To find the score needed on a test, set up a proportion comparing the score to the total points. For example, if the test is worth 12 points and you want to score 75%, the proportion is p/12 = 75/100.

Front

What does the SAS similarity criterion state?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two triangles have two pairs of corresponding sides in proportion and the included angles are equal, then the triangles are similar.

Front

What is the AA similarity criterion?

Back

The AA (Angle-Angle) similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SSS similarity criterion?

Back

The SSS (Side-Side-Side) similarity criterion states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply and then isolate the variable. For example, if p/12 = 75/100, then cross-multiply to get 100p = 12 * 75.

Front

What is the ratio of dogs to cats in an animal shelter if there are 25 dogs and the ratio is 5 to 3?

Back

If the ratio of dogs to cats is 5 to 3 and there are 25 dogs, then the number of cats can be found using the proportion 5/3 = 25/c, which gives c = 15.

Front

What is the measure of x if it is given as one of the options: 12, 15, 6, 9?

Back

The measure of x is 9.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

How can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by using the AA, SAS, or SSS similarity criteria.