Proving Congruent Triangles

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

Front

What is the SSS postulate?

Back

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

Front

What is the ASA postulate?

Back

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

Front

Can two triangles be proven congruent if only one angle and one side are known?

Back

No, you cannot prove triangles congruent with only one angle and one side; you need more information, such as another side or angle.

Front

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

Back

AB≅XY, meaning the lengths of sides AB and XY are equal.

Front

What is the relationship between the angles of congruent triangles?

Back

The corresponding angles 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 in the SAS postulate.

Front

If two triangles have two pairs of congruent angles, what can be said about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be congruent, while AAS does not require the side to be included between the two angles.