Triangle Proofs

Front

What does SSS stand for in triangle congruence theorems?

Back

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

Front

What is the SAS theorem in triangle congruence?

Back

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

Front

What does CPCTC stand for and when is it used?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. It is used after proving two triangles are congruent to state that their corresponding parts are also congruent.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, in triangle proofs, a side or angle that is common to both triangles can be used.

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent, meaning they have the same size and shape.

Front

What is the difference between congruent and not congruent triangles?

Back

Congruent triangles have the same size and shape, while not congruent triangles do not have equal corresponding sides and angles.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, allowing them to be superimposed on each other.

Front

What is the importance of proving triangles are congruent?

Back

Proving triangles are congruent is important in geometry as it allows for the establishment of relationships between angles and sides, which can be used in various applications.

Front

What is the Angle-Angle-Side (AAS) theorem?

Back

AAS states 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, then the triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

HL states that in right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.