Attributes of Similarity

Front

What are the attributes of similarity in triangles?

Back

The attributes of similarity in triangles include that corresponding angles are congruent and corresponding sides are proportional.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of triangle ABC and triangle DEF are congruent.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

If ∆XYZ is similar to ∆ABC, what is the relationship between the sides XY and AB?

Back

The lengths of sides XY and AB are proportional.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

The SAS similarity criterion states that if an angle of one triangle is equal to an angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

The AA similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

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

Back

The areas of two similar triangles are in the ratio of the square of the lengths of their corresponding sides.

Front

What is a congruence statement?

Back

A congruence statement is a way to express that two geometric figures are congruent, indicating that all corresponding sides and angles are equal.

Front

If ∆ABC ≅ ∆XYZ, what can be said about the corresponding sides?

Back

The corresponding sides of ∆ABC and ∆XYZ are equal in length.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.