Proportions and Similar Triangles

Front

What is a proportion?

Back

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

Front

What are similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

The SAS similarity criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Front

How do you determine if two triangles are similar using side lengths?

Back

Two triangles are similar if the ratios of their corresponding side lengths are equal.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The ratios of the lengths of corresponding sides of triangle ABC and triangle DEF are equal.

Front

Solve for x: 3/10 = x/30

Back

x = 9.

Front

What is the Cross-Multiplication method?

Back

The Cross-Multiplication method is used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio and setting the products equal.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by the Side-Angle-Side (SAS) similarity criterion.