Triangle Congruence Theorems

Front

What does the acronym 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, the triangles are congruent.

Front

What does the acronym 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, the triangles are congruent.

Front

What does the acronym 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, the triangles are congruent.

Front

What does the acronym AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem 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 does the acronym HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem 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

Which triangle congruence theorem is NOT valid?

Back

AAA (Angle-Angle-Angle) is not a valid triangle congruence theorem because it only shows that triangles are similar, not necessarily congruent.

Front

Can you prove triangle congruence with SSA?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

What is the significance of triangle congruence theorems?

Back

Triangle congruence theorems are significant because they provide methods to prove that two triangles are identical in shape and size, which is essential in geometry.

Front

If two triangles have sides of lengths 5, 12, and 13, what theorem can be used to prove they are congruent?

Back

SSS (Side-Side-Side) can be used to prove the triangles are congruent if all three sides are equal.

Front

If two triangles have two angles of 30° and 60° and the included side is 10 cm, what theorem can be used to prove they are congruent?

Back

ASA (Angle-Side-Angle) can be used to prove the triangles are congruent.