Flashcardizz L4.2 SSS and SAS Proofs

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that 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 theorem stating that 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 first statement in the reason column of a proof?

Back

The first statement is usually 'Given', which refers to the information provided in the problem.

Front

Can two triangles be congruent by SAS if one triangle has a longer side than the other?

Back

No, if one triangle has a longer side than the other, they cannot be congruent by SAS.

Front

What is the AAS theorem in triangle congruence?

Back

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

Back

ASA stands for Angle-Side-Angle, a theorem stating that 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 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 two triangles are not congruent, what can we say about their sides and angles?

Back

If two triangles are not congruent, at least one pair of corresponding sides or angles is different.

Front

What is the importance of the included angle in SAS?

Back

The included angle in SAS is crucial because it must be between the two sides being compared for the triangles to be congruent.

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three sides of one triangle are equal to all three sides of another triangle.