Question

1. if you were to rotate abcd 180° about the origin, what would the coordinate of a be? a (-3,3) b (-5,3) c (-5,5) d (-3,-5)

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point A

Given point A with coordinates $(- 3,3)$. Using the rule $(x,y)\to(-x,-y)$, we substitute $x=-3$ and $y = 3$. So, $-x=-(-3)=3$ and $-y=-3$. The new coordinates of A' are $(3,-3)$. But it seems there is a mistake in the options provided as the correct answer based on the rule is not among them. If we assume the general concept application, for a point $(x,y)$ rotated 180 - degrees about the origin, if we have a point with original coordinates where $x=-3$ and $y = 3$, the new coordinates will have the signs of both $x$ and $y$ reversed.

Answer:

None of the provided options are correct based on the 180 - degree rotation rule about the origin. If we must choose from the given options and assume some mis - understanding in the problem setup, the closest conceptually is D. (-3,-5) (although this is incorrect as per the proper rotation rule). But the correct coordinates of a point $(-3,3)$ rotated 180 - degrees about the origin should be $(3,-3)$.