Question
If two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle, then the triangles are congruent by ____.
Answer: Option A
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A
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Two triangles are congruent if two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle. This condition is called SAS (Side, Angle included, Side) condition.
In the figure above,
AC = XZ
BC = YZ
∠ACB=∠YZX
∴△ACB≅△XZY by SAS criterion for congruency.
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