4.6B HW - Triangle Congruence - Missing Information

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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 does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the congruency statement for triangles ∆ABC and ∆XYZ if AB≅XY?

Back

The congruency statement is ∆ABC≅∆XYZ.

Front

If ∆ABC≅∆XYZ, what can be said about the sides AB and XY?

Back

AB is congruent to XY, written as AB≅XY.

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

The corresponding angles of congruent triangles are equal.

Front

If two triangles are congruent, what can be said about their corresponding sides?

Back

The corresponding sides of congruent triangles are equal.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence.

Front

Can two triangles be congruent if only one side is known to be equal?

Back

No, at least two sides and the included angle (SAS) or two angles and a side (ASA or AAS) must be known for congruence.