Question

triangle abc is shown in the coordinate plane below. draw the result of the transformation when triangle abc is rotated about the origin. you only need to place the three vertices in the proper location. o a) a(2, -1) b(5, -2) c(2, -5) o b) a(-2, -1) b(-5, -2) c(-2, -5) o c) a(2, 1) b(5, 2) c(2, 5) o d) a(-2, 1) b(-5, 2) c(-2, 5)

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180 - degrees about the origin, the new - point is $(-x,-y)$.

Step2: Assume original coordinates

Let's assume the original coordinates of points $A$, $B$, and $C$ are in the second - quadrant. When rotating 180 - degrees about the origin, the signs of both the $x$ and $y$ coordinates of each point will change.

Step3: Analyze options

We need to find the option where the $x$ and $y$ coordinates of each point are the negative of their original values.

Answer:

B. A'(-2, -1) B'(-5, -2) C'(-2, -5)