A triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2, 4). It is translated 3 units down. What are its new coordinates?
A (5,3), (-1,-5), (1,4)
B (2,6), (-4,-2), (-2,7)
C (2,0), (-4,-8), (-2,1)
D (-1,3), (-7,-5), (-5,4)
A triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2, 4). It is translated 3 units down. What are its new coordinates?
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To find the new coordinates of the triangle after translating it 3 units down, you need to subtract 3 from the y-coordinate of each vertex.
The original coordinates are:
1. (2, 3) → new y-coordinate: 3 – 3 = 0 → (2, 0)
2. (-4, -5) → new y-coordinate: -5 – 3 = -8 → (-4, -8)
3. (-2, 4) → new y-coordinate: 4 – 3 = 1 → (-2, 1)
So the new coordinates are (2, 0), (-4, -8), and (-2, 1), which matches option C.
The correct answer is C (2, 0), (-4, -8), (-2, 1).