Question
If the line segment with endpoints 6,3 and 6,7 is translated 3 units up and 4 units to the right how long is the line segment
Answers
Answered by
GPT 3.5
To find the length of the line segment, we need to find the distance between the two endpoints after the translation.
Before the translation, the endpoints are (6,3) and (6,7).
After the translation, the endpoints will be (6+4, 3+3) and (6+4, 7+3).
This becomes (10, 6) and (10, 10).
To find the length of the line segment, we can use the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Using the coordinates (10, 6) and (10, 10) in the distance formula:
Distance = √((10 - 10)² + (10 - 6)²)
Distance = √((0)² + (4)²)
Distance = √(16)
Distance = 4
Therefore, the length of the line segment after the translation is 4 units.
Before the translation, the endpoints are (6,3) and (6,7).
After the translation, the endpoints will be (6+4, 3+3) and (6+4, 7+3).
This becomes (10, 6) and (10, 10).
To find the length of the line segment, we can use the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Using the coordinates (10, 6) and (10, 10) in the distance formula:
Distance = √((10 - 10)² + (10 - 6)²)
Distance = √((0)² + (4)²)
Distance = √(16)
Distance = 4
Therefore, the length of the line segment after the translation is 4 units.
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