Answer: a) First quadrant
Step-by-step explanation:
From the given picture, the position of the given point is in third quadrant.
Every point in third quadrant are in the form of (-a,-b), where a and b are any positive numbers [both x and y axis are negative there]
Also after rotation of 180° the point (x,y) will map to (-x,-y)
therefore, after rotation of 180° the point (-a,-b) will map to
(-(-a),-(-b))=(a,b), where a and b are any positive numbers
Thus, the coordinate of image point =(a,b)
Since both x and y coordinate of the image are positive therefore it must lie in the first quadrant.