Answer:
Option G'(-4, -1) is correct.
Step-by-step explanation:
Given the coordinates of the point
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 1/2 centered at the origin
P(x, y) → P'(1/2x, 1/2y)
Here, P'(1/2, 1/2y) 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 1/2.
Thus,
G (-8, -2) → A'(1/2(-8), 1/2(-2)) = G'(-4, -1)
Therefore, the image coordinates of G (-8, -2) after dilation by a scale factor of 1/2 will be: G'(-4, -1)
Thus, option G'(-4, -1) is correct.
