Answer:
The length of side AB is equal to 3.
[tex]AB=3[/tex]
After the translation, the length of the side AB will remain the same.
Explanation:
To determine the length of the side AB, Let us first locate the coordinates of A and B on the graph;
[tex]\begin{gathered} A=(-6,2) \\ B=(-6,5) \end{gathered}[/tex]
The length AB can be calculated using the formula for the distance between two points.
[tex]AB=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting the values of the coordinates;
[tex]\begin{gathered} AB=\sqrt[]{(-6-(-6))^2+(5-2)^2} \\ AB=\sqrt[]{(-6+6)^2+(5-2)^2} \\ AB=\sqrt[]{(0)^2+(3)^2} \\ AB=\sqrt[]{0^{}+9} \\ AB=\sqrt[]{9} \\ AB=3 \end{gathered}[/tex]
Therefore, the length of side AB is equal to 3.
[tex]AB=3[/tex]
After the translation, the length of the side AB will remain the same.
Because translation does not affect the size of an image, it only changes its position.
