Similar Triangles Flashcard Review

Front

What is the definition of similar triangles?

Back

Similar triangles are 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 does AA similarity criterion stand for?

Back

AA stands for Angle-Angle similarity criterion. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS similarity criterion stand for?

Back

SSS stands for Side-Side-Side similarity criterion. If the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS similarity criterion stand for?

Back

SAS stands for Side-Angle-Side similarity criterion. If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, 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 the terms and then isolate the variable.

Front

Back

h = 50.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are 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 SAS criterion.

Front

What is the significance of the ratio of corresponding sides in similar triangles?

Back

The ratio of corresponding sides in similar triangles is constant and equal to the ratio of any two corresponding sides.

Front

If two triangles are not similar, what can be said about their angles?

Back

If two triangles are not similar, their corresponding angles are not equal.