Garlin Congruence Statements

Front

What is a congruence statement?

Back

A congruence statement is a mathematical assertion that two geometric figures are congruent, meaning they have the same shape and size.

Front

If segment EF is congruent to segment GF, how can this be expressed?

Back

EF ≅ GF

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

In triangle congruence, what does the symbol '≅' represent?

Back

The symbol '≅' represents that two triangles are congruent.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates the corresponding parts of the figures that are congruent.

Front

If ∆ABC ≅ ∆LMN, what can be inferred about the angles?

Back

∠A ≅ ∠L, ∠B ≅ ∠M, ∠C ≅ ∠N.

Front

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

Back

The SAS 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 Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA 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 the Side-Side-Side (SSS) congruence criterion?

Back

The SSS criterion states that if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What does it mean if two segments are marked as congruent in a diagram?

Back

It means that the lengths of the two segments are equal.