Question

What is the transformation of B(−2, 4) when dilated with a scale factor of ½, using the point (4, 6) as the center of dilation?
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A. B'(1, 5)

B. B'(−1, 2)

C. B'(−8, 2)

D. B'(2, 10)

Answer 1

Answer:

Therefore the correct option is A.) B'(1,5)

Step-by-step explanation:

i) from B(-2,4) to (4,6) the x distance is = 4 - (-2) = 6

ii) multiplying the x distance by dilation factor  = 6 $\times$ 0.5 = 3

iii) therefore moving 3 units in x in the same direction as B from the point (4,6) we 4 - 3  =  therefore the new x co-ordinate is 1

iv) from B(-2,4) to (4,6) the y distance is = 6 - 4 = 2

v) multiplying the y distance by dilation factor  = 2 $\times$ 0.5 = 1

vi) therefore moving 1 units in y in the same direction as B from the point (4,6) we 6 - 1  =  therefore the new y co-ordinate is 5

Therefore the correct option is A.) B'(1,5)