Triangle \triangle ABC△ABCtriangle, A, B, C is translated 999 units to the left and 333 units up to create \triangle A'B'C'△A ′ B ′ C ′ triangle, A, prime, B, prime, C, prime. What is the length of segment \overline{A'B'} A ′ B ′ start overline, A, prime, B, prime, end overline?

8

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.

Translation is the movement of a point up, down, right or left on the coordinate plane. Rigid transformations are transformations that preserve the length and angle of  the object, types are reflection, rotation and translation.

Triangle ABC is translated, since translation is a rigid transformation, the length would still be preserved, hence:

AB = A'B' = 8

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