Answer:
(-3, -2) is the image of P(3, 2).
Step-by-step explanation:
Given: a point P with coordinates (3, 2).
To find: Image of point P after 180° counterclockwise about the origin.
Solution:
Let us have a look at the coordinates and try to learn how a coordinate is written.
(3, 2) means x coordinate or value on x axis = 3 and
y coordinate or value on y axis = 2
Please have a look at the attached image to understand how the point P is plotted on xy axis.
Point P(3, 2) lies in 1st quadrant.
When a counterclockwise rotation is given the point will move from 1st quadrant to 2nd quadrant to 3rd quadrant to 4th quadrant.
A 90° rotation will cause the point to move to 2nd quadrant from 1st quadrant.
Another 90° rotation will cause the point to move to 3rd quadrant from 2nd quadrant.
So, the image of point P will lie in the 3rd quadrant where both x and y coordinates are negative.
Hence, the image will be P'(-3, -2).
