Triangle Similarity Flashcard Review

Front

What is triangle similarity?

Back

Triangle similarity refers to the property that two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the AA criterion for triangle similarity?

Back

The AA (Angle-Angle) 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 criterion for triangle similarity?

Back

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

Front

What is the SAS criterion for triangle similarity?

Back

The SAS (Side-Angle-Side) criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How do you find the height of a triangle using similar triangles?

Back

To find the height of a triangle using similar triangles, set up a proportion using the corresponding sides of the similar triangles and solve for the unknown height.

Front

What is the relationship between the angles of similar triangles?

Back

All corresponding angles in similar triangles are congruent (equal in measure).

Front

If two triangles are similar, how do their areas compare?

Back

The areas of two similar triangles are proportional to the square of the lengths of their corresponding sides.

Front

What is a proportion in the context of similar triangles?

Back

A proportion is an equation that states that two ratios are equal, often used to compare the lengths of corresponding sides of similar triangles.

Front

How can you use proportions to solve for unknown lengths in similar triangles?

Back

You can set up a proportion using the lengths of the corresponding sides of the similar triangles and cross-multiply to solve for the unknown length.