Question

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?(1 point)
Responses

0 units
0 units

There is not enough information to measure the line segment.
There is not enough information to measure the line segment.

10 units
10 units

4 units

Answer 1

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Answer 2

To translate the line segment 3 units up and 4 units to the right, we add 3 to the y-coordinates and 4 to the x-coordinates of the endpoints.

For the first endpoint (6, 3), the translated coordinates would be (6+4, 3+3) = (10, 6).

For the second endpoint (6, 7), the translated coordinates would be (6+4, 7+3) = (10, 10).

The length of the line segment after the translation can be found using the distance formula:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Distance = √[(10-10)^2 + (10-6)^2]

Distance = √[0 + 16]

Distance = √16

Distance = 4 units

Therefore, the line segment is 4 units long after the translation.

Answer 3

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