Triangle Congruence (no HL)

Front

What does the acronym ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What does the acronym SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method to prove triangles are congruent by showing two sides and the included angle are equal.

Front

What does the acronym AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What does the acronym SSS stand for in triangle congruence?

Back

Side-Side-Side: A method to prove triangles are congruent by showing all three sides are equal.

Front

What is the significance of the congruence statement ∆ABC ≅ ∆XYZ?

Back

It indicates that triangle ABC is congruent to triangle XYZ, meaning all corresponding sides and angles are equal.

Front

Can triangles be proven congruent using the AAA criterion?

Back

No, AAA (Angle-Angle-Angle) does not prove congruence; it only shows similarity.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in size and shape, while similarity means they have the same shape but not necessarily the same size.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are similar, but not necessarily congruent.

Front

What is the purpose of a congruence statement?

Back

To clearly indicate which parts of two triangles are congruent to each other.

Front

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

Back

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