Question

In the question, a statement of assertion $\left(A\right)$ is followed by a statement of reason $\left(R\right)$. Mark the correct choice:

Assertion $\left(A\right)$: If $AB=PQ$ and $PQ=XY$, then $AB=XY$.
Reason $\left(R\right)$: Things which are equal to the same thing are equal to one another.

• A. Both assertion $\left(A\right)$ and reason $\left(R\right)$ are true, and reason $\left(R\right)$ is the correct explanation of assertion $\left(A\right)$.
  
• B. Assertion $\left(A\right)$ is true, but reason $\left(R\right)$ is false.
  
• C. Assertion $\left(A\right)$ is false, but reason $\left(R\right)$ is true.
  
• D. Both assertion $\left(A\right)$ and reason $\left(R\right)$ are true, and reason $\left(R\right)$ is not the correct explanation of assertion $\left(A\right)$.
  

Answer 1

The correct option is A Both assertion $\left(A\right)$ and reason $\left(R\right)$ are true, and reason $\left(R\right)$ is the correct explanation of assertion $\left(A\right)$.


ATQ,
$AB=PQ$ (Given) $\dots \left(eq1\right)$
Also,
$PQ=XY$ (Given) $\dots \left(eq2\right)$
From $\left(eq1\right)$ and $\left(eq2\right)$ we get,
$AB=XY$
Therefore, the given assertion is true.
According to Euclid's Axioms, we know that things that are equal to the same things are equal to one another.
So, the reason statement is also true, and it explains the assertion clearly.

So, Assertion$\left(A\right)$ and Reason$\left(R\right)$ are correct and Reason$\left(R\right)$ is the correct explanation of Assertion$\left(A\right)$.