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-coordinates of each vertex, while keeping the x-coordinates the same.
Original coordinates:
– (2,3): New y-coordinate = 3 – 3 = 0 → (2,0)
– (4,-5): New y-coordinate = -5 – 3 = -8 → (4,-8)
– (-2,4): New y-coordinate = 4 – 3 = 1 → (-2,1)
So the new coordinates after translating the triangle are (2,0), (4,-8), and (-2,1).
Looking at the answer options, the correct new coordinates correspond to C (2,0), (4,-8), (-2,1).
Please check the answers carefully, as the second vertex in the option should be (4, -8), not (-4, -8). However, based on your options, the closest fit would be related to the translation.
So, the answer choice C is the closest in format. If you need further clarification on translations or another question, feel free to ask!