Triangle Congruence Statements Flashcard

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are congruent if they have the same size and shape, which can be proven using congruence statements.

Front

What does the symbol '≅' represent in geometry?

Back

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

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about the corresponding angles and sides?

Back

If ∆ABC ≅ ∆XYZ, then ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z and AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Front

What is the significance of the order of letters in triangle congruence statements?

Back

The order of letters in triangle congruence statements indicates the corresponding vertices and sides of the triangles.

Front

Complete the congruence statement: ∆ABC ≅ ___.

Back

∆XYZ (where XYZ corresponds to ABC in the same order).

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same size and shape, and their corresponding sides and angles are not equal.

Front

How can you prove that two triangles are congruent using the SSS criterion?

Back

To prove two triangles are congruent using the SSS criterion, show that all three pairs of corresponding sides are equal in length.

Front

What is the difference between ASA and AAS congruence criteria?

Back

ASA (Angle-Side-Angle) requires two angles and the included side to be equal, while AAS (Angle-Angle-Side) requires two angles and a non-included side to be equal.

Front

If ∆ABC ≅ ∆DEF, what can we say about the lengths of sides AB and DE?

Back

If ∆ABC ≅ ∆DEF, then AB ≅ DE.