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
The length of a line segment is the distance between its endpoints.
The original line segment has endpoints (6, 3) and (6, 7), where the x-coordinate is the same for both points, indicating a vertical line. The difference between the y-coordinates gives us the length of the original line segment:
Length of original line segment = |7 - 3| = 4 units.
After the translation, the line segment is moved 3 units up and 4 units to the right. The new endpoints will be (6 + 4, 3 + 3) and (6 + 4, 7 + 3), which are (10, 6) and (10, 10), respectively.
To find the length of the translated line segment, we calculate the difference between the y-coordinates:
Length of translated line segment = |10 - 6| = 4 units.
Therefore, the length of the line segment after the translation is 4 units, which is equal to the length of the original line segment.