which point is the image of q? choose 1 answer: a a b b c c d d

Explanation:

Step1: Find coordinates of Q

Q is at (-3,5).

Step2: Check symmetry

Assume it's about origin symmetry (x,y)→(-x,-y). But no. If about x - axis (x,y)→(x,-y)→(-3,-5) not in options. If about y - axis (x,y)→(-x,y)→(3,5) not. If translation? Unlikely. Wait, maybe reflection over some line. Wait, check each point: A: (-5,2), B: (-6,-1), C: (1,-6), D: (4,-4). Wait, no. Wait, maybe wrong approach. Wait, check distance from axes. Q is 3 units left of y - axis, 5 units up of x - axis. If it's a reflection over y = -x (x,y)→(-y,-x). (-3,5)→(-5,3) no. Wait, no. Wait, maybe counting grids. Wait, another way: assume it's a rotation. 180° rotation (x,y)→(-x,-y). (-3,5)→(3,-5) no. Wait, no. Wait, check coordinates again. Wait, maybe problem has typo. Wait, no. Wait, check each point's coordinates: A: (-5,2), B: (-6,-1), C: (1,-6), D: (4,-4). Wait, if Q is (-3,5). If it's a reflection over x = 0.5 (mid - x between Q and D? (-3 + 4)/2=0.5, (5+( - 4))/2 = 0.5. So mid - point formula: for two points (x1,y1) and (x2,y2), mid - point is ((x1 + x2)/2,(y1 + y2)/2). Let (x1,y1)=(-3,5),(x2,y2)=(4,-4). Mid - point ((-3 + 4)/2,(5+( - 4))/2)=(0.5,0.5). So D is the image.

Answer:

D.