Answer:
27) (-4,1)
28) (-5,4)
29) (1,-4)
30) (12,3)
31) (1,4)
32) (5,-3)
Explanation:
27) Across reflection of y axis, only x coordinate of point changes, the magnitude remains same but the sign changes.
Thus, the point becomes (-4,1)
28) After translating 9 units in left, the point becomes (-5,1), and after moving up by 3 units, point becomes (-5,4)
29)After point rotation about origin, the point (x,y) becomes (y,-x).
Thus, the point (4,1) becomes (1,-4).
30) Dilating means, multiply the coordinates by the dilating factor.
here the factor is 3, thus the points become (3(4), 3(1)) = (12,3).
31) After reflection of the point along the line y=x, the coordinates of the point are interchanged, thus the coordinates become (1,4)
32)By the motion rule the point becomes, first (5,1) and then (5,-3).