The coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.
<h3>What is geometric transformation?</h3>It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
Line segment EF begins at (-1, 5) and ends at (-1, -3). The segment is translated right 4 units and down 2 units to form line segment E'F'. Then the coordinate of E' and F' will be:
E' = (-1 + 4, 5 – 2) = (3, 3)
F' = (-1 + 4, -3 - 2) = (3, -5)
The length of the E'F' = √(0 + 64) = 8 units
Thus, the coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.
Learn more about the geometric transformation here:
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