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?
1 answer:
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 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 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)
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