SSS and SAS Congruence Triangles

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 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 postulate 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

What is the importance of the order of vertices in triangle congruence?

Back

The order of vertices matters because it indicates which angles and sides correspond to each other in congruent triangles.

Front

If two triangles have two sides of equal length and the angle between them is also equal, what can be concluded?

Back

The triangles are congruent by the SAS postulate.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

Measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

What is the relationship between angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are equal in length.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F, Side AB = Side DE, Side BC = Side EF, Side AC = Side DF.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

If triangle GHI has sides of lengths 5, 12, and 13, what can be said about triangle JKL with sides of lengths 5, 12, and 13?

Back

Triangle GHI is congruent to triangle JKL by the SSS postulate.

Front

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

Back

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