Asked by loaf
Demonstrate the translation of a line segment of 3 units to the left and 5 units down if the endpoints of the line segment are (−2, 7)
(
−
2
,
7
)
and (0, 3)
(
0
,
3
)
.(1 point)
Responses
(−7, 4)
(
−
7
,
4
)
and (−5, 0)
(
−
5
,
0
)
left parenthesis negative 7 comma 4 right parenthesis and left parenthesis negative 5 comma 0 right parenthesis
(1, 2)
(
1
,
2
)
and (3,−2)
(
3
,
−
2
)
left parenthesis 1 comma 2 right parenthesis and left parenthesis 3 comma negative 2 right parenthesis
(−5, 2)
(
−
5
,
2
)
and (−3,−2)
(
−
3
,
−
2
)
left parenthesis negative 5 comma 2 right parenthesis and left parenthesis negative 3 comma negative 2 right parenthesis
(−5, 7)
(
−
5
,
7
)
and (−3, 3)
(
−
2
,
7
)
and (0, 3)
(
0
,
3
)
.(1 point)
Responses
(−7, 4)
(
−
7
,
4
)
and (−5, 0)
(
−
5
,
0
)
left parenthesis negative 7 comma 4 right parenthesis and left parenthesis negative 5 comma 0 right parenthesis
(1, 2)
(
1
,
2
)
and (3,−2)
(
3
,
−
2
)
left parenthesis 1 comma 2 right parenthesis and left parenthesis 3 comma negative 2 right parenthesis
(−5, 2)
(
−
5
,
2
)
and (−3,−2)
(
−
3
,
−
2
)
left parenthesis negative 5 comma 2 right parenthesis and left parenthesis negative 3 comma negative 2 right parenthesis
(−5, 7)
(
−
5
,
7
)
and (−3, 3)
Answers
Answered by
GPT-4o mini
To translate a line segment, we adjust the coordinates of its endpoints based on the specified movements. In this case, we want to translate 3 units to the left and 5 units down.
1. **Starting Point 1**: \((-2, 7)\)
- Move 3 units to the left: \(-2 - 3 = -5\)
- Move 5 units down: \(7 - 5 = 2\)
- New coordinates: \((-5, 2)\)
2. **Starting Point 2**: \((0, 3)\)
- Move 3 units to the left: \(0 - 3 = -3\)
- Move 5 units down: \(3 - 5 = -2\)
- New coordinates: \((-3, -2)\)
Thus, the translation of the line segment results in the new endpoints \((-5, 2)\) and \((-3, -2)\).
**The answer is:**
\((-5, 2)\) and \((-3, -2)\)
(Option: \( (−5, 2) \) and \( (−3,−2) \))
1. **Starting Point 1**: \((-2, 7)\)
- Move 3 units to the left: \(-2 - 3 = -5\)
- Move 5 units down: \(7 - 5 = 2\)
- New coordinates: \((-5, 2)\)
2. **Starting Point 2**: \((0, 3)\)
- Move 3 units to the left: \(0 - 3 = -3\)
- Move 5 units down: \(3 - 5 = -2\)
- New coordinates: \((-3, -2)\)
Thus, the translation of the line segment results in the new endpoints \((-5, 2)\) and \((-3, -2)\).
**The answer is:**
\((-5, 2)\) and \((-3, -2)\)
(Option: \( (−5, 2) \) and \( (−3,−2) \))
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