Advanced Triangle Congruence Updated

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence by showing two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangle congruence by showing two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangle congruence by showing all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

What is the definition of congruent triangles?

Back

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

Front

What additional information is needed for two triangles to be congruent by AAS?

Back

You need to know two angles and one non-included side of one triangle to be equal to the corresponding parts of another triangle.

Front

What additional information is needed for two triangles to be congruent by SAS?

Back

You need to know two sides and the included angle of one triangle to be equal to the corresponding parts of another triangle.

Front

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

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent by SSS.

Front

What is the importance of marking 'givens' in a triangle problem?

Back

Marking 'givens' helps visualize the problem and identify known values, which is essential for applying congruence criteria.

Front

Can two triangles be congruent if only one side is known?

Back

No, you need more information, such as angles or additional sides, to determine congruence.

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.