Question

1. rectangle wxyz with vertices w(-3, -5), x(1, -1), y(3, -3), and z(-1, -7): 180°

Explanation:

Step1: Recall rotation rule

The rule for a $180^{\circ}$ rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Apply rule to point $W$

For $W(-3,-5)$, $x = - 3,y=-5$. Then $W'$ has coordinates $(-(-3),-(-5))=(3,5)$.

Step3: Apply rule to point $X$

For $X(1,-1)$, $x = 1,y=-1$. Then $X'$ has coordinates $(-1,1)$.

Step4: Apply rule to point $Y$

For $Y(3,-3)$, $x = 3,y=-3$. Then $Y'$ has coordinates $(-3,3)$.

Step5: Apply rule to point $Z$

For $Z(-1,-7)$, $x=-1,y = - 7$. Then $Z'$ has coordinates $(1,7)$.

Answer:

$W'(3,5)$
$X'(-1,1)$
$Y'(-3,3)$
$Z'(1,7)$