Question

type the correct answer in each box. include a comma between the x- and y-coordinates. a triangle with the coordinates x(3, 2), y(5, -1), and z(-2, 3) is reflected across both the x- and y-axes. the coordinates after both reflections are x(), y(), and z().

Explanation:

Step1: Recall reflection rules

Reflecting across both x-axis and y-axis is equivalent to reflecting over the origin: for a point $(x,y)$, the new coordinates are $(-x,-y)$.

Step2: Calculate X'

Apply rule to $X(3,2)$:
$X' = (-3, -2)$

Step3: Calculate Y'

Apply rule to $Y(5,-1)$:
$Y' = (-5, 1)$

Step4: Calculate Z'

Apply rule to $Z(-2,3)$:
$Z' = (2, -3)$

Answer:

$X'(-3, -2)$, $Y'(-5, 1)$, $Z'(2, -3)$