Geometry: Intro to Similarity & Congruence (FormativeAssessment)

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and the lengths of corresponding sides are proportional.

Front

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

Back

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

Front

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

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

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

Front

How do you determine if two triangles are congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal, which can be proven using criteria like SSS, SAS, ASA, AAS, or HL.

Front

What does the symbol '~' represent in geometry?

Back

The symbol '~' indicates that two figures are similar.

Front

If triangle DQR is similar to triangle DEF, what can be inferred about their angles?

Back

The corresponding angles of triangle DQR and triangle DEF are equal.

Front

What is the relationship between the lengths of corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to triangle ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The sides of triangle DEF are 6, 8, and 10.