Question
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Answer
After translating 1 unit to the right and 7 units down, the new coordinates are:
- D’(-3, -5)
- E’(-3, -3)
- F’(-6, -3)
- G’(-5, -5)
Solution
To translate the points 1 unit to the right and 7 units down, you need to adjust each point’s coordinates as follows:
- Right by 1 unit: Add 1 to the x-coordinate.
- Down by 7 units: Subtract 7 from the y-coordinate.
Let’s apply this transformation to each point:
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Point D
-
Point E
-
Point F
-
Point G
Translated Coordinates:
Visualization:
If you plot the original and translated points on a coordinate plane, you’ll see that each new point has moved 1 unit to the right and 7 units downward from its original position.
(Note: Replace the image link with an actual graph if needed.)
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Simplify this solution Beyond the Answer
To translate the points 1 unit to the right and 7 units down, you simply add 1 to the x-coordinate and subtract 7 from the y-coordinate of each point.
Starting with point D:
D(-4, 2) → D’(-4 + 1, 2 - 7) = D’(-3, -5)
D(-4, 2) → D’(-4 + 1, 2 - 7) = D’(-3, -5)
Next, point E:
E(-4, 4) → E’(-4 + 1, 4 - 7) = E’(-3, -3)
E(-4, 4) → E’(-4 + 1, 4 - 7) = E’(-3, -3)
Now for point F:
F(-7, 4) → F’(-7 + 1, 4 - 7) = F’(-6, -3)
F(-7, 4) → F’(-7 + 1, 4 - 7) = F’(-6, -3)
Finally, point G:
G(-6, 2) → G’(-6 + 1, 2 - 7) = G’(-5, -5)
G(-6, 2) → G’(-6 + 1, 2 - 7) = G’(-5, -5)
So the new coordinates after the translation are:
D’(-3, -5), E’(-3, -3), F’(-6, -3), G’(-5, -5).
D’(-3, -5), E’(-3, -3), F’(-6, -3), G’(-5, -5).
