JK has endpoints J(-3,-1) and K(0,3).
Consider the length of JK.
For the given points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], distance(or length) is given by the formula [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Length JK = [tex]\sqrt{(0+3)^2+(3+1)^2}[/tex]
= [tex]\sqrt {25}[/tex]
= 5 units
RS has endpoints R(1,1) and S(4,4).
Length JK = [tex]\sqrt{(4-1)^2+(4-1)^2}[/tex]
= [tex]\sqrt {18}[/tex]
= [tex]3 \sqrt2[/tex] units
Since, length of both the segments are not equal.
Therefore, the segments JK and RS are not congruent.
