Question

Segment FG begins at point (-2,4) and ends at point G(-2,-3).The segment is translated by and then reflected across the y -axis to form segment F'G'. How many units long is segment F'G'?

Answer 1

The segment is 7 units long.

To begin with the segment goes from (-2, -3) to (-2, 4), that is a straight vertical distance of 7 units.

Then, the shape is translated and reflected. Neither of these two transformations changes the size of the line segment. It is still 7 units long.