Answer:
U' (- 10, - 6 ), V' (0, - 6 ) , W' (- 10, - 10 )
Explanation:
a reflection is a type of transformation using a line that acts like a mirror
with an image reflected in the line.
the mirror line is the line of reflection
in this case the line of reflection is y = - 1 ( green line in diagram )
since the line is horizontal , the x- coordinates of the image remain unchanged from those of the original, under the reflection.
the y- coordinates of the preimage and the image are the same distance from the line of reflection.
the preimage points are above the line of reflection while the image points are below the line of reflection.
U (- 10, 4 ) → y- coordinate is 5 units above line y = - 1
so y- coordinate of image is 5 units below the line y = - 1
U (- 10, 4 ) → U' (10, - 1 - 5 ) → U' (10, - 6 )
similarly
V (0, 4 ) → V' (0, - 1 - 5 ) → V' (0, - 6 )
W (- 10, 8 ) → y- coordinate is 9 units above the line y = - 1
so y- coordinate of image is 9 units below the line y = - 1
W (- 10, 8 ) → W' (- 10, - 1 - 9 ) → W' (10, - 10 )