GEOM - Similarity Review

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes; their corresponding angles are equal and their corresponding sides are in proportion.

Front

What does the AA criterion for similarity state?

Back

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

Front

What is the SAS criterion for similarity?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the SSS criterion for similarity?

Back

If the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Front

What is a proportion in mathematics?

Back

An equation that states that two ratios are equal.

Front

If AB / BM = AC / CD, what can be inferred?

Back

The segments AB and AC are proportional to BM and CD, respectively.

Front

How do you solve for x in a proportion?

Back

Cross-multiply the terms and then isolate x.

Front

What is a similarity statement?

Back

A statement that indicates two figures are similar, typically written in the form ΔABC ~ ΔDEF.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.