SSS and SAS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal 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 theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

When can you use the SSS theorem?

Back

You can use the SSS theorem when you know the lengths of all three sides of two triangles.

Front

When can you use the SAS theorem?

Back

You can use the SAS theorem when you know the lengths of two sides and the measure of the included angle of two triangles.

Front

What is the difference between SSS and SAS?

Back

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

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

Can you prove triangle congruence with only angles?

Back

No, you cannot prove triangle congruence with only angles; you need at least one side length known (e.g., ASA or AAS theorems).

Front

What is the 'not enough information' option in triangle congruence questions?

Back

'Not enough information' means that the given data is insufficient to determine if the triangles are congruent.

Front

Provide an example of SSS in practice.

Back

If Triangle A has sides of lengths 5 cm, 7 cm, and 10 cm, and Triangle B also has sides of lengths 5 cm, 7 cm, and 10 cm, then Triangle A is congruent to Triangle B by SSS.

Front

Provide an example of SAS in practice.

Back

If Triangle A has sides of lengths 6 cm and 8 cm with an included angle of 60 degrees, and Triangle B has sides of lengths 6 cm and 8 cm with the same included angle, then Triangle A is congruent to Triangle B by SAS.