NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

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

Options

AIf two triangles are not similar, then they are not identical
BIf two triangles are not identical, then they are not similar
CIf two triangles are not identical, then they are similar
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, p : Two triangles are identical q : Two triangles are similar Clearly, the given statement in symbolic form is p → q . Contrapositive of p → q is ∼ q → ∼ p i.e., If two triangles are not similar, then they are not identical.

Practice Mathematical Reasoning on Quantrex Academy →

More from Mathematical Reasoning

Negation of p ∧ q ∧ ~ p ∧ q is 2023 The statement ( p ∧ ( ~ q ) ) ∨ ( ( ~ p ) ∧ q ) ∨ ( ( ~ p ) ∧ ( ~ q ) ) is equivalent to _ _ _ _ _ 2023 The negation of the statement ( ( A ∧ ( B ∨ C ) ) ⇒ ( A ∨ B ) ) ⇒ A is 2023 Among the two statements S 1 : p ⇒ q ∧ p ∧ ~ q is a contradiction and S 2 : p ∧ q ∨ ~ p ∧ q ∨ p ∧ ~ q ∨ ~ p ∧ ~ q is a t 2023 The converse of ~ p ∧ q ⇒ r is 2023 The number of ordered triplets of the truth values of p , q and r such that the truth value of the statement p ∨ q ∧ p ∨ r ⇒ q ∨ r is True, is equal t 2023 The statement ~ p ∨ ~ p ∧ q is equivalent to 2023 The negation of the statement p ∨ q ∧ q ∨ ~ r is 2023 Full Mathematical Reasoning list All NTA Abhyas JEE Main PYQs