Proving Triangles Congruent

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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 is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid method for proving triangle congruence because it can lead to ambiguous cases.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the definition of congruent triangles?

Back

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

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to determine whether two triangles are congruent based on certain criteria involving their sides and angles.

Front

What is the definition of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle.

Front

What is the difference between congruence and similarity in triangles?

Back

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

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

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

Front

What is the definition of a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form ΔABC ≅ ΔDEF.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which corresponding parts of the triangles are congruent.