Find the image vertices for a dilation with a center of 00 and a square factor of 4
R( -5,7). S (2,6) v(-4,0). T(5,-3)
Find R
a.(-9,11)
b.(-20,28)
c.(5,-7)
d. (-20,7)
The image vertices after a dilation with a center of (0,0) and a scale factor of 4 would be:
R' = (-5*4, 7*4) = (-20, 28)
S' = (2*4, 6*4) = (8, 24)
V' = (-4*4, 0*4) = (-16, 0)
T' = (5*4, -3*4) = (20, -12)
Therefore, the correct answer is b. (-20,28) is the image vertex for R.
To find the image vertex of the dilation with a center of (0,0) and a scale factor of 4, you can multiply the coordinates of each vertex by the scale factor.
Given that the coordinates of point R are (-5,7) and the scale factor is 4,
The x-coordinate of the image vertex of R can be found by multiplying the x-coordinate of R by 4:
x-coordinate of image vertex of R = -5 * 4 = -20
The y-coordinate of the image vertex of R can be found by multiplying the y-coordinate of R by 4:
y-coordinate of image vertex of R = 7 * 4 = 28
Therefore, the image vertex of R is (-20, 28).
The correct answer is b.(-20,28).