Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule used to prove that two triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a rule used to prove that two triangles are congruent if two angles and the included side 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 rule used to prove that two triangles are congruent if 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 rule used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

Are triangles with equal corresponding angles always congruent?

Back

No, triangles with equal corresponding angles are not necessarily congruent; they may be similar but not congruent unless their corresponding sides are also equal.

Front

If two triangles are congruent by SSS, what can be said about their angles?

Back

If two triangles are congruent by SSS, then all corresponding angles are also equal.

Front

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

Back

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

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles have the same size and shape (equal sides and angles), while similar triangles have the same shape but not necessarily the same size (equal angles but proportional sides).

Front

What is the SSA condition in triangle congruence?

Back

The SSA condition (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases where two different triangles can be formed.