Congruent Triangles Flashcard (1A)

Front

What is the AAS postulate in triangle congruence?

Back

AAS (Angle-Angle-Side) postulate states that if two angles and the non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What does the SAS postulate stand for?

Back

SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

Define the SSS postulate.

Back

SSS (Side-Side-Side) postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What is the ASA postulate?

Back

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the two triangles are congruent.

Front

Explain the HL postulate.

Back

HL (Hypotenuse-Leg) postulate applies to right triangles and states that if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which means all corresponding sides and angles are equal.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size (corresponding angles are equal, and corresponding sides are proportional).

Front

If ∠A ≅ ∠M, what can be inferred about triangles containing these angles?

Back

If ∠A ≅ ∠M, it indicates that the triangles containing these angles may be congruent if other conditions (like sides) are also satisfied.

Front

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

Back

The included angle is the angle formed between two sides of a triangle. It is crucial in postulates like SAS and ASA for proving triangle congruence.

Front

How can you determine if two triangles are not congruent?

Back

If any corresponding sides or angles of two triangles are not equal, then the triangles are not congruent.