Triangle Congruency

Front

What is Triangle Congruency?

Back

Triangle congruency refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruency?

Back

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

Front

What does ASA stand for in triangle congruency?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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 congruency?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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 Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is often used in proofs involving congruent triangles.

Front

What is the Transitive Property in triangle congruency?

Back

The Transitive Property states that if triangle A is congruent to triangle B, and triangle B is congruent to triangle C, then triangle A is congruent to triangle C.

Front

What additional information is needed to prove triangles are congruent by HL?

Back

To prove triangles are congruent by the Hypotenuse-Leg (HL) theorem, you need to know that both triangles are right triangles and that the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of the other triangle.

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate that states 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 is the difference between congruence and similarity in triangles?

Back

Congruence means that two triangles are identical in size and shape, while similarity means that two triangles have the same shape but may differ in size.

Front

What is the significance of the included angle in triangle congruency?

Back

The included angle is the angle formed between two sides of a triangle. It is crucial in postulates like SAS and ASA, as it helps establish congruency.