Similar Triangles Quick Check

Front

What is the SAS similarity postulate?

Back

The SAS (Side-Angle-Side) similarity postulate 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

What does AA similarity mean?

Back

AA (Angle-Angle) similarity means 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 similarity postulate?

Back

The SSS (Side-Side-Side) similarity postulate states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How do you write a similarity statement for triangles?

Back

A similarity statement is written using the symbol '~'. For example, if triangle ABC is similar to triangle DEF, it is written as ΔABC ~ ΔDEF.

Front

What is a similarity ratio?

Back

A similarity ratio is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If ΔABC ~ ΔDEF, what can be said about their angles?

Back

If ΔABC ~ ΔDEF, then the corresponding angles are equal: ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

What is the relationship between the areas of similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

Front

Can two triangles be similar if they have one angle equal and the sides not proportional?

Back

No, two triangles cannot be similar if they have only one angle equal and the sides are not proportional; they must satisfy AA, SAS, or SSS criteria.

Front

What is the significance of the included angle in SAS similarity?

Back

The included angle in SAS similarity is crucial because it must be equal for the triangles to be considered similar.

Front

How can you determine if two triangles are not similar?

Back

Two triangles are not similar if they do not meet the criteria of AA, SAS, or SSS similarity.