Triangle Proofs

Front

What does BC≅DC indicate in triangle proofs?

Back

BC is congruent to DC, meaning they have the same length.

Front

What does AC≅EC signify in triangle proofs?

Back

AC is congruent to EC, indicating that these two segments are equal in length.

Front

What does AAS stand for in triangle proofs?

Back

AAS stands for Angle-Angle-Side, a method used to prove triangle congruence.

Front

What is the significance of the statement ∆GFH≅∆IFH?

Back

It indicates that triangle GFH is congruent to triangle IFH, which can be used in proofs.

Front

What is always the first statement in the reason column of a proof?

Back

The first statement is always 'Given', which refers to the information provided in the problem.

Front

What does FH≅FH represent in triangle proofs?

Back

FH is congruent to itself, demonstrating the Reflexive Property of congruence.

Front

What is the purpose of triangle congruence in proofs?

Back

To establish that two triangles are identical in shape and size, allowing for further deductions.

Front

What are the three main criteria for triangle congruence?

Back

SSS (Side-Side-Side), SAS (Side-Angle-Side), and ASA (Angle-Side-Angle).

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the importance of the Reflexive Property in triangle proofs?

Back

It allows us to state that a segment or angle is congruent to itself, which is often used in proofs.