Question

vertices of parallelogram $abcd$ are $a(2,1)$, $b(3,4)$, $c(5,3)$, and $d(4,0)$. $abcd$ is reflected over the $x$-axis to create parallelogram $qrst$. what are the coordinates of $qrst$?
$q(-2,1), r(-3,4), s(-5,3), t(-4,0)$
$q(-2,-1), r(-3,-4), s(-5,-3), t(-4,0)$
$q(1,2), r(4,3), s(3,5), t(0,4)$
$q(2,-1), r(3,-4), s(5,-3), t(4,0)$

Explanation:

Step1: Recall x-axis reflection rule

For a point $(x,y)$, reflection over x-axis is $(x,-y)$.

Step2: Reflect point A(2,1)

$A'(2, -1)$

Step3: Reflect point B(3,4)

$B'(3, -4)$

Step4: Reflect point C(5,3)

$C'(5, -3)$

Step5: Reflect point D(4,0)

$D'(4, 0)$ (since $-0=0$)

Answer:

$Q(2,-1), R(3,-4), S(5,-3), T(4,0)$