Final Answer:
Reflecting quadrilateral ABCD over the Y-axis results in a new image where each point (x, y) is transformed to its mirror image (-x, y).
Step-by-step explanation:
To perform the reflection, consider the coordinates of each vertex in quadrilateral ABCD. Let's say A has coordinates (x1, y1), B has coordinates (x2, y2), C has coordinates (x3, y3), and D has coordinates (x4, y4). When we reflect over the Y-axis, the x-coordinates change sign while the y-coordinates remain the same. Therefore, the reflected coordinates become A'(-x1, y1), B'(-x2, y2), C'(-x3, y3), and D'(-x4, y4).
As an example, if point A is originally (3, 4), its reflection A' would be (-3, 4). Similarly, apply this transformation to all vertices to obtain the coordinates of the reflected quadrilateral.
Graphically, the reflected quadrilateral will be a mirror image of the original across the Y-axis. This transformation preserves the shape and size of the quadrilateral but changes its orientation. The result is a geometrically identical figure on the opposite side of the Y-axis.