Triangle Congruence Statements

Front

What is a congruence statement?

Back

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

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents congruence, indicating that two figures or segments are equal in size and shape.

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include 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 sides?

Back

If ∆ABC ≅ ∆XYZ, then AB ≅ XY, BC ≅ YZ, and AC ≅ XZ.

Front

If two angles are congruent, what does that imply about their measures?

Back

If two angles are congruent, it implies that they have the same measure.

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 vertices of the congruent triangles.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

Two triangles are congruent using the SSS criterion if all three sides of one triangle are equal to the three sides of the other triangle.

Front

What does the term 'corresponding parts' refer to in triangle congruence?

Back

'Corresponding parts' refer to the sides and angles of congruent triangles that match each other in position.

Front

If ∆ABC ≅ ∆XYZ, what can we say about the angles?

Back

If ∆ABC ≅ ∆XYZ, then ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.

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 equal to two angles and the included side of another triangle, then the triangles are congruent.