Congruent Triangle PROOFS

Front

What does SSA stand for in triangle congruence tests?

Back

SSA stands for Side-Side-Angle, which is NOT a valid test for proving triangle congruence.

Front

What is the SAS congruence criterion?

Back

The SAS (Side-Angle-Side) criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA congruence criterion?

Back

The ASA (Angle-Side-Angle) criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is needed to prove triangles congruent using SAS?

Back

To prove triangles congruent using SAS, you need to know the lengths of two sides and the measure of the included angle.

Front

What is needed to prove triangles congruent using ASA?

Back

To prove triangles congruent using ASA, you need to know the measures of two angles and the length of the included side.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents congruence, indicating that two figures have the same shape and size.

Front

If ΔEDF ≅ ΔBAC, what can be inferred about their corresponding parts?

Back

If ΔEDF ≅ ΔBAC, then their corresponding sides and angles are congruent.

Front

What is the relationship between similar triangles and congruent triangles?

Back

Similar triangles have the same shape but not necessarily the same size, while congruent triangles have both the same shape and size.

Front

What is the significance of the congruence statement ABCDE ∼ GHJDF?

Back

The congruence statement ABCDE ∼ GHJDF indicates that the corresponding angles and sides of the two figures are proportional.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.