Answer:
The image of A(18, 9) after dilation by a scale factor of 1/3 will be: A'(6, 3).
Step-by-step explanation:
Let suppose the given point is A(18, 9)
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
Rule to calculate the dilation by a scale factor 1/3 centered at the origin
P(x, y) → P'(1/3x, 1/3y)
Here, P'(1/3, 1/3y) is the image of P(x, y).
- It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 1/3.
Thus,
A(18, 9) → A'(1/3(18), 1/3(9)) = A'(6, 3)
Therefore, the image of A(18, 9) after dilation by a scale factor of 1/3 will be: A'(6, 3).
