SSS/SAS Congruence LAB

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent if they satisfy any of the congruence postulates: SSS, SAS, ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the Angle-Side-Angle (ASA) postulate?

Back

The ASA postulate states that 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 Angle-Angle-Side (AAS) theorem?

Back

The AAS theorem 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 triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem 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 triangles are congruent.

Front

What does it mean for two triangles to be not congruent?

Back

Two triangles are not congruent if they do not satisfy any of the congruence postulates or theorems, meaning their corresponding sides and angles are not equal.

Front

What is the significance of congruence in geometry?

Back

Congruence in geometry signifies that two shapes are identical in form and size, allowing for the application of various geometric principles and theorems.

Front

Can two triangles be congruent if only one side is known to be equal?

Back

No, knowing only one side is not sufficient to prove congruence; at least two sides and the included angle (SAS) or other combinations must be known.

Front

What is the relationship between congruence and similarity?

Back

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