SOLUTION
To check if line AB and CD are congruent, let's check if their length or distances are equal.
To do this, we will use the distance formula
distance between A(-5, 5), B(-2,5) is
[tex]\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1})^2 \\ d=\sqrt{(-2-(-5)^2+(5-5)^2} \\ d=\sqrt{(-2+5)^2+0} \\ d=\sqrt{3^2} \\ d=\sqrt{9} \\ d=3\text{ units } \end{gathered}[/tex]
The distance or length CD becomes
distance between C(2, -4), D(-1, -4), we have
[tex]\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1})^2 \\ d=\sqrt{(-1-2)^2+(-4-(-4)^2} \\ d=\sqrt{(-3)^2+(-4+4)^2} \\ d=\sqrt{9+0^2} \\ d=\sqrt{9} \\ d=3\text{ units } \end{gathered}[/tex]
Since AB and CD = 3 units, hence AB and CD are congruent.
