Question

The coordinates of a quadrilateral are (5, 8), (7, 10), (9, 12), and (11, 14). After a transformation, the sign of the x-coordinate for each ordered pair has changed. Which type of transformation occurred?

1) (x,y)→(x², y²)
2) Dilation; (x²), (y²)
3) Reflection across the y-axis
4) Reflection across the x-axis

Answer 1

The type of transformation that occurred is a reflection across the y-axis. The sign of the x-coordinate changes while the y-coordinate remains the same.

Step-by-step explanation:

The type of transformation that occurred is a reflection across the y-axis. In a reflection across the y-axis, the sign of the x-coordinate changes while the y-coordinate remains the same.

Let's take a closer look at the given coordinates:

• (5, 8) becomes (-5, 8)
• (7, 10) becomes (-7, 10)
• (9, 12) becomes (-9, 12)
• (11, 14) becomes (-11, 14)

As we can see, the sign of the x-coordinate has changed for each ordered pair, indicating a reflection across the y-axis.