SSS, SAS, ASA, AAS HL like Kahoot

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence 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 criterion for triangle congruence 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 criterion for triangle congruence 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 criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

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

Back

No, two triangles cannot be proven congruent with only two sides known unless the included angle is also known (SAS) or the third side is known (SSS).

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is crucial because it ensures that the two triangles are not only the same shape but also the same size.

Front

Can SSA prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be known, while AAS allows for the non-included side to be known.

Front

If two triangles have two equal angles, what can be said about their sides?

Back

If two triangles have two equal angles, their corresponding sides are in proportion, but they may not be congruent unless the third side is also known.