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the coordinates of a quadrilateral are (1, 2), (4, 2), (1, 4), and (4, 4). after a transformation, the new coordinates are (1, −2), (4, −2), (1, −4), and (4, −4). which transformation occurred?
a) (x, y)→(x + 2, y + 2)
b) dilation; (x + 2), (y + 2)
c) reflection across the y-axis
d) reflection across the x-axis

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Step-by-step explanation:

D) reflection across the x-axis

Step-by-step explanation:

Given : The coordinates of a quadrilateral are (1, 2), (4, 2), (1, 4), and (4, 4). After a transformation, the new coordinates are (1, −2), (4, −2), (1, −4), and (4, −4).

Here, the sign of the y-coordinates are changed in the image . [Rest other things remained same.]

Since , it happens in reflection across the x-axis by using rule :

It means the quadrilateral reflected across the x-axis.

Hence, the transformation occurred : reflection across the x-axis

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step-by-step explanation: