Mathematics
Assertion (A): Two triangles having equal area are congruent.
Reason (R): Two congruent triangles have equal area.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).
Theorems on Area
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Answer
Having equal areas does not necessarily mean two triangles are congruent.Congruent triangles must have the same shape and the same size.
Triangles with the same area can have different shapes.
∴ Assertion (A) is false.
Congruent triangles are identical in every aspect; they have the same shape and the same size.
If two figures are identical in size, they must occupy the same amount of space, and therefore, they must have the same area.
∴ Reason (R) is true.
∴ Assertion (A) is false, Reason (R) is true.
Hence, option 2 is the correct option.
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