Question

the coordinates of the vertices of a quadrilateral are n(1,1), t(1, - 4), q(-2,-1), and z(-2,4). the figure is rotated 180° clockwise with the origin as the center of rotation to create quadrilateral ntqz. what are the coordinates of the vertices of quadrilateral ntqz? n = t =

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree clockwise rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Find coordinates of $N'$

For point $N(1,1)$, applying the rule: $N'( - 1,-1)$.

Step3: Find coordinates of $T'$

For point $T(1, - 4)$, applying the rule: $T'(-1,4)$.

Step4: Find coordinates of $Q'$

For point $Q(-2,-1)$, applying the rule: $Q'(2,1)$.

Step5: Find coordinates of $Z'$

For point $Z(-2,4)$, applying the rule: $Z'(2,-4)$.

Answer:

$N'=(-1,-1)$
$T'=(-1,4)$
$Q'=(2,1)$
$Z'=(2,-4)$