Answer:
The new coordinates are:
Please check the attached graph.
Step-by-step explanation:
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
Given the vertices of the triangle in the diagram
A (1, 4)
B(2, 2)
C(-2, 1)
In our case:
Rule to calculate the dilation by a scale factor 6 centered at the origin
P(x, y) → P'(6x, 6y)
Here, P'(6x, 6y)
) 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 6.
Thus,
A (1, 4) → A'(6(1), 6(4)) → A'(6, 24)
B(2, 2) → B'(6(2), 6(2)) → B'(12, 12)
C(-2, 1) → C'(6(-2), 6(1)) → C'(-12, 6)
Therefore, the new coordinates are:
Please check the attached graph.
