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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Mathematical Reasoning

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

The contrapositive of the statement "If two triangles are...

The contrapositive of the statement "If two triangles are identical, then they are similar" is

Options

  1. AIf two triangles are not similar, then they are not identical
  2. BIf two triangles are not identical, then they are not similar
  3. CIf two triangles are not identical, then they are similar
  4. DIf two triangles are not similar, then they are identical

Correct answer

A. If two triangles are not similar, then they are not identical

Step-by-step solution

Let, pp: Two triangles are identical

qq: Two triangles are similar

Clearly, the given statement in symbolic form is p→qp \to q.

Contrapositive of p→qp \to q is ∼q→∼p∼ q \to ∼ p

i.e., If two triangles are not similar, then they are not identical.

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