Triangle Congruence Postulate

Front

What does the AAS triangle congruence postulate state?

Back

The AAS (Angle-Angle-Side) postulate states that if two angles and a 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 SSS triangle congruence postulate state?

Back

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

Front

What does the SAS triangle congruence postulate state?

Back

The 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

What does the ASA triangle congruence postulate state?

Back

The 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

What does the HL triangle congruence postulate state?

Back

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

Front

What is the difference between AAS and ASA postulates?

Back

AAS involves two angles and a non-included side, while ASA involves two angles and the included side.

Front

If two triangles have two pairs of congruent angles, what can be concluded?

Back

The triangles are similar, but not necessarily congruent unless a side is also known to be congruent.

Front

What is required to prove triangles congruent using the SSS postulate?

Back

All three corresponding sides of the triangles must be congruent.

Front

Can two triangles be congruent if only two sides are known to be congruent?

Back

Not necessarily; additional information about angles or the third side is needed to confirm congruence.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is the angle between the two sides being compared; it is crucial for establishing congruence.