Congruent Triangle Methods

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method of proving triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method of proving triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method of proving triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method of proving triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

If ∆PRQ≅∆SRT, what can be concluded about their corresponding sides and angles?

Back

If ∆PRQ is congruent to ∆SRT, then all corresponding sides and angles of the two triangles are equal.

Front

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

Back

In the SAS method, the included angle is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.

Front

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

Back

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

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

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

Back

To determine if two triangles are congruent using the SSS method, measure all three sides of each triangle and check if they are equal.