Triangle congruence Shortcuts Practice

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a rule that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side 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 rule 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 does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a rule that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if all three angles of one triangle are equal to all three angles of another triangle, the triangles are similar but not necessarily congruent.

Front

Can two triangles be congruent by SSA?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

If two triangles are congruent by ASA, what can be said about their corresponding sides?

Back

The corresponding sides of the triangles are also equal in length.

Front

How can you prove triangles are congruent using SAS?

Back

To prove triangles are congruent by SAS, show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle; it is crucial for rules like ASA and SAS to establish congruence.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in shape and size, while similar triangles have the same shape but may differ in size.