Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

point n (7, 4) is rotated 180° counterclockwise about the origin. what …

Question

point n (7, 4) is rotated 180° counterclockwise about the origin. what are the coordinates of its image after this transformation? enter your answer by filling in the boxes. n (□,□)

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180° counter - clockwise about the origin, the new coordinates $(x',y')$ are given by $x'=-x$ and $y'=-y$.

Step2: Apply rule to point N

For point $N(7,4)$, where $x = 7$ and $y = 4$. Then $x'=-7$ and $y'=-4$.

Answer:

$N'(-7,-4)$