Question

Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?

On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1).
(–5, 3)
(3, –5)
(5, –3)
(–3, 5)

Answer 1

To determine the coordinates of point C' after reflecting trapezoid ABCD across the y-axis, we start with the coordinates of point C, which is (5, 3).

When reflecting a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Thus, for point C:

- The original coordinates of C: (5, 3)
- The reflected coordinates C' after reflection across the y-axis: (-5, 3)

Now let's check the provided choices:

1. (–5, 3)
2. (3, –5)
3. (5, –3)
4. (–3, 5)

The correct choice that shows the coordinates of C' after the reflection across the y-axis is:
**(–5, 3)**.