Use the distance formula to justify the congruence. The correct option is B. .
<h3>Given, </h3>
the coordinates of and are
The length of segment AC is and the length of segment DF is also .
and .
We have to find the correct statement regarding the triangles to be congruent.
<h2>Distance formula</h2>
We know that, The distance formula to calculate the distance between two points , and is given as,
So, The distance between and Will be,
Similarly, the distance between and will be,
So, .......(1)
Now, in and ,
( from equation 1 ).
( Given )
( Given )
So, By Side angle Side congruence rule,
.
Hence the correct option is B. .
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