Similar Triangles

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes.

Front

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

Back

The corresponding angles are congruent.

Front

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

Back

The corresponding sides are proportional.

Front

What is the SSS Similarity Criterion?

Back

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

Front

What is the SAS Similarity Criterion?

Back

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

Front

What is the 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 a similarity statement?

Back

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

Front

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

Back

Calculate the ratios of the lengths of corresponding sides and check if they are equal.

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

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

Back

The ratio of their sides is 1:2.