To find the length of the line segment after the translation, we can use the distance formula.
The original line segment has endpoints (6,3) and (6,7). The difference in the y-coordinates is 7 - 3 = 4. The difference in the x-coordinates is 6 - 6 = 0.
After the translation 3 units up and 4 units to the right, the new line segment will have endpoints (6 + 4, 3 + 3) = (10, 6) and (6 + 4, 7 + 3) = (10, 10).
The difference in the y-coordinates of the new line segment is 10 - 6 = 4. The difference in the x-coordinates of the new line segment is 10 - 10 = 0.
Using the distance formula, the length of the new line segment is √((0)^2 + (4)^2) = √(0 + 16) = √16 = 4 units.
Therefore, the answer is D: 4 units
If a 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 after the translation
A: 0 units
B: There is not enough information to measure the line segment
C: 10 units
D: 4 units
1 answer
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