Graph the image of ΔABC after a rotation 270° counterclockwise around the origin.
A. A'(-6, -2), B'(-2, -6), C'(-4, -6)
B. A'(-2, 6), B'(-6, 2), C'(-6, 4)
C. A'(2, -6), B'(6, -2), C'(6, -4)
D. A'(2, 6), B'(6, 2), C'(4, 6)
Graph the image of ΔABC after a rotation 270° counterclockwise around the origin.
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To rotate a point (x, y) 270° counterclockwise around the origin, you can use the transformation formula:
[
(x, y) rightarrow (y, -x)
]
Let’s apply this transformation to points A, B, and C of ΔABC:
– Let’s say A(x1, y1), B(x2, y2), and C(x3, y3) are the coordinates of the original triangle. After applying the transformation, the new coordinates will be:
1. A'(y1, -x1)
2. B'(y2, -x2)
3. C'(y3, -x3)
Now, let’s check the options provided:
Assuming you need to rotate specific points; however, without those specific coordinates from ΔABC, I cannot directly perform the calculation.
But generally:
– If you provide specific points, I can help you determine their new coordinates after rotation.
If you want to check which of the given options represents a correct transformation after a 270° rotation, you can do the above rotation to each set of points and see which one matches!
Let me know if you need further assistance on this! For more in-depth help or clarification, check out the extended services page.