Step 1

Given,

\(\displaystyle\triangle{A}{B}{C}\ {\quad\text{and}\quad}\ \triangle{D}{E}{F}\)

We have to write the congruence relation for \(\displaystyle\triangle{A}{B}{C}\ {\quad\text{and}\quad}\ \triangle{D}{E}{F}\)

Step 2

In \(\displaystyle\triangle{A}{B}{C}\ {\quad\text{and}\quad}\ \triangle{D}{E}{F}\)

AB=DE=4 (Given)

AC=DF=3 (Given)

BC=EF=4.5 (Given)

Then, From SSS(side-side-side) rule of congruence

\(\displaystyle\triangle{A}{B}{C}\stackrel{\sim}{=}\triangle{D}{E}{F}\)

So,

The correct option is A.

Given,

\(\displaystyle\triangle{A}{B}{C}\ {\quad\text{and}\quad}\ \triangle{D}{E}{F}\)

We have to write the congruence relation for \(\displaystyle\triangle{A}{B}{C}\ {\quad\text{and}\quad}\ \triangle{D}{E}{F}\)

Step 2

In \(\displaystyle\triangle{A}{B}{C}\ {\quad\text{and}\quad}\ \triangle{D}{E}{F}\)

AB=DE=4 (Given)

AC=DF=3 (Given)

BC=EF=4.5 (Given)

Then, From SSS(side-side-side) rule of congruence

\(\displaystyle\triangle{A}{B}{C}\stackrel{\sim}{=}\triangle{D}{E}{F}\)

So,

The correct option is A.