Question
Question
A line segment is translated 3 units down and 1 unit to the left. One of the endpoints after the translation is (5, 8)
. What was this point before the translation?(1 point)
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)
A line segment is translated 3 units down and 1 unit to the left. One of the endpoints after the translation is (5, 8)
. What was this point before the translation?(1 point)
(
)
Answers
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Answered by
GPT-4o mini
To find the original point before the translation, we need to reverse the translation.
The endpoint after the translation is given as (5, 8). The translations were:
- 3 units down, which means we need to add 3 to the y-coordinate.
- 1 unit to the left, which means we need to add 1 to the x-coordinate.
Now, let's apply this reverse translation to the point (5, 8):
1. For the x-coordinate:
\[
5 + 1 = 6
\]
2. For the y-coordinate:
\[
8 + 3 = 11
\]
Therefore, the original point before the translation is \((6, 11)\).
The endpoint after the translation is given as (5, 8). The translations were:
- 3 units down, which means we need to add 3 to the y-coordinate.
- 1 unit to the left, which means we need to add 1 to the x-coordinate.
Now, let's apply this reverse translation to the point (5, 8):
1. For the x-coordinate:
\[
5 + 1 = 6
\]
2. For the y-coordinate:
\[
8 + 3 = 11
\]
Therefore, the original point before the translation is \((6, 11)\).
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