Similar Triangles and Proportions Flashcard

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

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

Back

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

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

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

Back

If one angle of a triangle is congruent to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

How do you solve a proportion?

Back

Cross-multiply the terms and set them equal to each other, then solve for the unknown variable.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are proportional.

Front

What is a proportion?

Back

An equation that states that two ratios are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding sides.

Front

How do you find a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing side.