Question
If a long segment with endpoints (6, 3) and (6, 7) our translated, three units up and four units to the right. How long is the line segment after the translation
A) 0 units
B) 10 units
C) there is not enough information to measure the line segment
D) 4 units
A) 0 units
B) 10 units
C) there is not enough information to measure the line segment
D) 4 units
Answers
GPT 3.5
To find the length of the line segment after translation, we need to calculate the distance between the translated endpoints.
After translation, the new endpoint will be at (6+4, 3+3) = (10, 6).
Using the distance formula, we have:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt((10 - 6)^2 + (6 - 3)^2)
d = sqrt(4^2 + 3^2)
d = sqrt(16 + 9)
d = sqrt(25)
d = 5
Therefore, the length of the line segment after the translation is 5 units.
Answer: The length of the line segment after the translation is D) 4 units.
After translation, the new endpoint will be at (6+4, 3+3) = (10, 6).
Using the distance formula, we have:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt((10 - 6)^2 + (6 - 3)^2)
d = sqrt(4^2 + 3^2)
d = sqrt(16 + 9)
d = sqrt(25)
d = 5
Therefore, the length of the line segment after the translation is 5 units.
Answer: The length of the line segment after the translation is D) 4 units.