Triangle Congruent Statements and Congruent Parts

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures are congruent, meaning they have the same shape and size.

Front

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

Back

The corresponding sides of the triangles are equal in length: AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates two geometric figures are congruent, listing corresponding parts in order.

Front

If ∠A ≅ ∠D in triangles ∆ABC and ∆DEF, what can we say about the angles?

Back

The angles ∠A and ∠D have the same measure.

Front

What is the significance of corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal, which helps in proving triangle congruence.

Front

What does it mean if two triangles are congruent?

Back

It means that all corresponding sides and angles of the triangles are equal.

Front

If ∆PQR ≅ ∆XYZ, what can we say about side PQ?

Back

Side PQ is congruent to side XY (PQ ≅ XY).

Front

What is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal in measure.

Front

How can you determine if two triangles are congruent using side lengths?

Back

If all three pairs of corresponding sides are equal in length, the triangles are congruent (SSS criterion).

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

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, the triangles are congruent.