Congruence pt2

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the AAA criterion in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Front

If ∠E ≅ ∠A, what does this mean?

Back

It means that angle E is congruent to angle A, indicating they have the same measure.

Front

How can you prove triangles are congruent using the AAS criterion?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.

Front

Can two triangles be congruent if they have only one angle equal?

Back

No, two triangles cannot be congruent with only one angle equal; at least two angles and the included side or two sides and the included angle must be equal.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle between the two sides being compared, and it is crucial for establishing congruence.