Question : Which of the following statements is FALSE?
Option 1: Two triangles are congruent if the size and shape of the triangles may or may not be equal.
Option 2: SAS and SSS are both conditions of congruency of triangles.
Option 3: If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, the triangles are congruent.
Option 4: If two triangles are congruent, one of them can be superimposed on the other triangle.
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Correct Answer: Two triangles are congruent if the size and shape of the triangles may or may not be equal.
Solution :
Two triangles are congruent if they have the same shape and size.
In other words, the corresponding angles and sides of the two triangles are equal.
Congruent triangles are identical in shape and size.
So, the FALSE statement is ''Two triangles are congruent if the size and shape of the triangles may or may not be equal''.
Hence, the correct answer is ''Two triangles are congruent if the size and shape of the triangles may or may not be equal''.
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