Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if their corresponding sides and angles are equal.

Front

What does it mean if ∠ISR ≅ ∠TSR?

Back

It means that the angles ∠ISR and ∠TSR have the same measure.

Front

Complete the congruence statement: If ∆ABC ≅ ∆XYZ, then AB ≅ ?

Back

XY

Front

What is the significance of the congruence statement ∆SXF ≅ ∆GXT?

Back

It indicates that the corresponding sides and angles of triangles ∆SXF and ∆GXT are equal.

Front

If ∠F = ∠G, what can we conclude about triangles that include these angles?

Back

The triangles may be congruent if the corresponding sides are also equal.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

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.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does it mean if AB ≅ XY?

Back

It means that the lengths of segments AB and XY are equal.

Front

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

Back

We can say that ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.