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Question
which combination of congruent parts is not sufficient to know whether two triangles are congruent? angle - angle - angle side - side - side angle - side - angle side - angle - side
Step1: Recall congruence criteria
SSS (Side - Side - Side): If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
ASA (Angle - Side - Angle): If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
SAS (Side - Angle - Side): If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
AAA (Angle - Angle - Angle): If three angles of one triangle are equal to three angles of another triangle, the triangles are similar (same shape) but not necessarily congruent (same shape and size).
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Angle - angle - angle