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 corresponding 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 they have two sides and a non-included angle equal?

Back

Yes, if two triangles have two angles and a corresponding non-included side equal, they are congruent by the AAS criterion.

Front

If two triangles have two sides equal and the included angle equal, what can we conclude?

Back

The triangles are congruent by the SAS criterion.

Front

What is the relationship between SSS and SAS in proving triangle congruence?

Back

If two triangles satisfy the SSS condition, they also satisfy the SAS condition, as the included angle is formed by the two equal sides.

Front

Can two triangles be congruent if they have all three sides equal but no angles equal?

Back

Yes, if all three sides are equal, the triangles are congruent regardless of the angles.

Front

What is the difference between ASA and AAS?

Back

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