PROOFS with Congruent triangles

Front

What is the definition of congruent triangles?

Back

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

Front

What does the Reflexive Property state?

Back

For any geometric figure, it is congruent to itself (e.g., AB ≅ AB).

Front

What is the ASA Congruence Theorem?

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SSA stand for in triangle congruence?

Back

Side-Side-Angle; it is not a valid method for proving triangle congruence.

Front

What is the definition of the term 'corresponding parts' in congruent triangles?

Back

Parts of triangles (sides or angles) that are in the same relative position in two congruent triangles.

Front

What is the significance of statement #6 in a proof involving congruent triangles?

Back

It typically indicates a conclusion about the congruence of two segments, such as BC ≅ DA.

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a geometric statement or theorem.

Front

What is the definition of the term 'included side' in triangle congruence?

Back

The side that lies between two angles in a triangle.

Front

What is the meaning of the term 'congruence' in geometry?

Back

Congruence refers to the property of figures having the same shape and size.

Front

What is the significance of the statement HA = AH in a proof?

Back

It indicates the use of the Reflexive Property, showing that a segment is equal to itself.