Question

1. if you were to rotate abcd 180° about the origin, what would the coordinate of a be? (-5,5) (-3,3) (-3,-5) (-5,3) p(-7,6) p(6,-7) p(7,0) p(7,6)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 180° about the origin is $(x,y)\to(-x,-y)$.

Step2: Apply rule to point A

Given point A with coordinates $(- 3,3)$. When we rotate it 180° about the origin, $x=-3$ and $y = 3$. So, $-x=3$ and $-y=-3$.

Answer:

$(3,-3)$

It seems there might be some incorrect - formatting or extra information in the provided image. But based on the question "If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?" and assuming we are only focused on the rotation of a single point A with coordinates $(-3,3)$, the above is the solution. If point A has different coordinates based on the correct interpretation of the image, the solution can be adjusted accordingly by applying the $(x,y)\to(-x,-y)$ rule.