Question

A quadrilateral has vertices A(2, 4), B(3, 4), C(4, 8), and D(5, -1). If the quadrilateral is reflected over the y-axis, what are the coordinates of D'?

A. (-5, 1)

B. (-5, -1)

C. (-4, -8)

D. (-3, -4)

Answer 1

To reflect point D(5, -1) over the y-axis, we invert the x-coordinate while keeping the y-coordinate the same, resulting in the coordinates (-5, -1) for point D'.

Step-by-step explanation:

The question involves reflecting a point over the y-axis in the coordinate plane. To find the coordinates of point D' after the reflection, we take the x-coordinate of point D and multiply it by -1, leaving the y-coordinate unchanged. Thus, the x-coordinate of point D (5) becomes -5 after the reflection, and the y-coordinate remains -1. Therefore, the coordinates of D' after the reflection are (-5, -1).