SSS, SAS, ASA & AAS Flashcard

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate stating 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, the triangles are congruent.

Front

What is the significance of congruence statements?

Back

Congruence statements indicate that two triangles are identical in shape and size, allowing for the use of corresponding parts in proofs and problem-solving.

Front

Can two triangles be proven congruent with only one side and two angles?

Back

No, two triangles cannot be proven congruent with only one side and two angles; additional information is needed.

Front

What is the difference between ASA and AAS?

Back

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

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the importance of the included angle in SAS?

Back

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

Front

Can triangles be proven congruent if only two sides are known?

Back

Not necessarily; knowing only two sides does not provide enough information to prove congruence without the included angle.