Question

give the coordinates of the new image. 4. rhombus wxyz with vertices w(1, 5), x(6, 3), y(1, 1), and z(-4, 3): x - axis

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the $x - axis$, the rule is $(x,y)\to(x, - y)$.

Step2: Reflect point $W(1,5)$

Applying the rule, we get $W'(1,-5)$ since $x = 1$ and $y = 5$ so new $y=-5$.

Step3: Reflect point $X(6,3)$

Applying the rule, we get $X'(6,-3)$ as $x = 6$ and new $y=-3$.

Step4: Reflect point $Y(1,1)$

Applying the rule, we get $Y'(1,-1)$ with $x = 1$ and new $y=-1$.

Step5: Reflect point $Z(-4,3)$

Applying the rule, we get $Z'(-4,-3)$ as $x=-4$ and new $y = - 3$.

Answer:

$W'(1,-5)$
$X'(6,-3)$
$Y'(1,-1)$
$Z'(-4,-3)$