Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does AAA stand for in triangle congruence?

Back

Angle-Angle-Angle: This does not prove triangle congruence, as it only shows similarity.

Front

What is the SSA condition in triangle congruence?

Back

Side-Side-Angle: This condition does not guarantee triangle congruence.

Front

Can two triangles be congruent if only one angle and two sides are known?

Back

Not necessarily, as this is the SSA condition which does not guarantee congruence.

Front

What is the AAS condition in triangle congruence?

Back

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

Front

What is the significance of congruent triangles in geometry?

Back

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

Front

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

Back

If all three sides of one triangle are equal to the three sides of another triangle, they are congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

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