SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the congruence statement for triangles if they are congruent by SSS?

Back

If triangles are congruent by SSS, the congruence statement can be written as \( \Delta ABC \cong \Delta DEF \) if the sides are equal.

Front

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

Back

No, two triangles cannot be congruent if only one side is equal. At least two sides and the included angle must be equal (SAS) or all three sides must be equal (SSS).

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 vertices correspond to each other in the congruent triangles.

Front

If \( \Delta JLK \cong \Delta MNK \) by SAS, what can be inferred about the sides and angles?

Back

If \( \Delta JLK \cong \Delta MNK \) by SAS, then side JL = side MN, side LK = side NK, and angle J = angle M.

Front

What does it mean if two triangles are 'Not Necessarily Congruent'?

Back

'Not Necessarily Congruent' means that the triangles may not have enough information to determine if they are congruent based on the given sides and angles.

Front

What is an example of a situation where triangles are congruent by SAS?

Back

If triangle ABC has sides AB = 5, AC = 7, and angle A = 60 degrees, and triangle DEF has sides DE = 5, DF = 7, and angle D = 60 degrees, then \( \Delta ABC \cong \Delta DEF \) by SAS.

Front

What is the difference between SSS and SAS?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.

Front

If two triangles have two equal angles and one equal side, are they congruent?

Back

No, two triangles with two equal angles and one equal side are not necessarily congruent; they may be similar but not congruent.