SSS and SAS Triangle Congruence

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 definition of congruent triangles?

Back

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

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent, which helps in solving geometric problems and establishing relationships between different geometric figures.

Front

If ΔXYZ ≅ ΔJKL by SAS, what must be true about the sides and angle involved?

Back

Two sides of ΔXYZ must be equal to two sides of ΔJKL, and the angle between those two sides must also be equal.

Front

What is the significance of the included angle in SAS?

Back

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

Front

Can two triangles be congruent if only two sides are equal?

Back

No, two triangles cannot be proven congruent with only two sides equal unless the included angle is also equal (SAS) or all three sides are equal (SSS).

Front

What does CPCFC stand for?

Back

CPCFC stands for Corresponding Parts of Congruent Figures are Congruent, which means that if two figures are congruent, their corresponding parts (sides and angles) are also congruent.

Front

What is an example of a situation where triangles are not congruent?

Back

If two triangles have two sides equal but the included angle is different, they are not congruent (e.g., two triangles with sides 5 cm, 7 cm, and angles of 30° and 40° respectively).

Front

What is the relationship between SSS and SAS?

Back

Both SSS and SAS are criteria for triangle congruence; SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.