Question

For Problems 10-13, use this information. Quadrilateral QRST is graphed on a coordinate plane. The coordinates of each vertex are given. Determine the coordinates of the image Q'R'S'T' after Quadrilateral QRST is reflected across the y-axis.

10. Q(3, -15) 11. R(-6, 12) 12. S(0,9) 13. T(-4, -3)

Answer 1

To reflect a quadrilateral across the y-axis, invert the sign of the x-coordinates while keeping the y-coordinates the same, giving Q'(-3, -15), R'(6, 12), S'(0, 9), T'(4, -3) for quadrilateral Q'R'S'T'.

Step-by-step explanation:

To find the coordinates of a quadrilateral reflected across the y-axis, you simply reflect each vertex across the y-axis. Reflecting a point across the y-axis means changing the sign of the x-coordinate while keeping the y-coordinate the same. Here's how this applies to each vertex of Quadrilateral QRST:

• For Q(3, -15), the reflected point Q' would have coordinates (-3, -15).
• For R(-6, 12), the reflected point R' would have coordinates (6, 12).
• For S(0, 9), the point lies on the y-axis so the reflection, S', will have the same coordinates (0, 9).
• For T(-4, -3), the reflected point T' would have coordinates (4, -3).

These reflected points form the vertices of the image quadrilateral Q'R'S'T'.