Triangle Congruency

Front

What does the word congruent mean?

Back

Figures or angles that are exactly the same size and shape.

Front

What is the SAS Congruence Theorem?

Back

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 is the ASA Congruence Theorem?

Back

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 is the AAS Congruence Theorem?

Back

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 is the CPCTC Theorem?

Back

Corresponding Parts of Congruent Triangles are Congruent.

Front

What is the Reflexive Property?

Back

Any geometric figure is congruent to itself.

Front

What is the difference between similar and congruent figures?

Back

Similar figures have the same shape but not necessarily the same size; congruent figures are the same shape and size.

Front

What does the term 'included angle' refer to?

Back

The angle formed between two sides of a triangle.

Front

What is the significance of the Angle Bisector Theorem?

Back

It states that the angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the other two sides.

Front

What is the SSA condition in triangle congruency?

Back

SSA does not guarantee triangle congruency; it is known as the ambiguous case.