Answer:
Option D.
Step-by-step explanation:
It is given that line segment CD begins at (-1, 2) and ends at (6, 2).
The segment is translated 4 units down and 2 units left.
We know that translation is a rigid transformation. It means, after translation the size and shape of figure remains same.
[tex]C'D'=CD[/tex] ... (i)
Using distance formula, the length of CD is
[tex]CD=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]CD=\sqrt{(6-(-1))^2+(2-2)^2}[/tex]
[tex]CD=\sqrt{(6+1)^2+(0)^2}[/tex]
[tex]CD=\sqrt{49}[/tex]
[tex]CD=7[/tex] ... (ii)
Using (i) and (ii), we get
[tex]C'D'=CD=7\text{ units}[/tex]
Therefore, the correct option is D.
