Triangle Congruence Statements Flashcard

Front

What is a triangle congruence statement?

Back

A triangle congruence statement indicates that two triangles are congruent, meaning they have the same size and shape, and their corresponding sides and angles are equal.

Front

What does ∆ABC ≅ ∆XYZ imply?

Back

It implies that triangle ABC is congruent to triangle XYZ, meaning AB ≅ XY, BC ≅ YZ, and AC ≅ XZ, as well as ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

If ∠U ≅ ∠F, what can be inferred about triangles containing these angles?

Back

If ∠U ≅ ∠F, then the triangles containing these angles may be congruent if the corresponding sides are also equal.

Front

What does the notation AB ≅ XY signify?

Back

It signifies that segment AB is congruent to segment XY, meaning they have the same length.

Front

In triangle congruence, what does the term 'corresponding parts' refer to?

Back

'Corresponding parts' refer to the sides and angles of congruent triangles that match each other in position.

Front

What is the significance of the order of letters in triangle congruence statements?

Back

The order of letters in triangle congruence statements indicates which angles and sides correspond to each other.

Front

If ∆ABC ≅ ∆LMN, which statement is NOT true?

Back

The statement BC ≅ ML is NOT true if it contradicts the congruence of the triangles.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does it mean if two triangles are similar but not congruent?

Back

It means that the triangles have the same shape but not necessarily the same size; their corresponding angles are equal, but their corresponding sides are in proportion.