Similar Triangles

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size; their corresponding angles are congruent and their corresponding sides are in proportion.

Front

What does AA stand for in triangle similarity?

Back

Angle-Angle; if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

Side-Side-Side; if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

Side-Angle-Side; if two sides of one triangle are in proportion to two sides of another triangle and the included angles are congruent, the triangles are similar.

Front

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

Back

Their corresponding angles are congruent.

Front

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

Back

The ratios of the lengths of corresponding sides are equal.

Front

What is the similarity statement for triangles?

Back

A statement that indicates that two triangles are similar, often written as ΔABC ∼ ΔDEF.

Front

How do you determine if two triangles are similar using the SSS criterion?

Back

By showing that the ratios of the lengths of corresponding sides are equal.

Front

How do you determine if two triangles are similar using the AA criterion?

Back

By showing that two angles of one triangle are congruent to two angles of another triangle.

Front

What is a proportion in the context of similar triangles?

Back

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