the rule ( x, 3/4) is applied to a polygon. the given point is on the original plygon. find the image of the point.
a= (6,8)
b=(9,8)
c= (3/2, 4,3)
To find the image of a given point using the rule (x, 3/4), we apply the rule to each coordinate of the point. Let's find the image of each point:
a = (6, 8)
To apply the rule to point a, we multiply the x-coordinate by 3 and the y-coordinate by 4 and then divide both results by 4:
x-coordinate: (6 * 3) / 4 = 18 / 4 = 4.5
y-coordinate: (8 * 4) / 4 = 8
Therefore, the image of point a is (4.5, 8).
b = (9, 8)
Using the same process:
x-coordinate: (9 * 3) / 4 = 27 / 4 = 6.75
y-coordinate: (8 * 4) / 4 = 8
Therefore, the image of point b is (6.75, 8).
c = (3/2, 4.3)
x-coordinate: ((3/2) * 3) / 4 = (9/2) / 4 = 9/8 = 1.125
y-coordinate: (4.3 * 4) / 4 = 4.3
Therefore, the image of point c is (1.125, 4.3).
To summarize:
Image of point a = (4.5, 8)
Image of point b = (6.75, 8)
Image of point c = (1.125, 4.3)