What are the coordinates of the image of vertex d after a reflection across the x-axis? (5, 3) (–5, –3) (–3, 5) (3, –5)

It is necessary to know the coordinates of the vertex d to answer the question.the coordinates of the image of a point (x,y) after reflection across the x-axis are (x, -y).that is because the reflection across the x -axis does not change the x-coordinate, while y is transformed into - y.so, a point (a,b) will be transformed into point (a, -b).a point (5, - 3) will be transformed into (5, 3).a point ( -5, 3) will be transformed into (-5, -3).so, you just need to know the coordinates of the vertex d and then you can tell the coordinates of its image to tell the coordinates by using (x,y) → (x, -y)