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

10 units
10 units

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

0 units
0 units

4 units

Answer 1

A line segment has endpoints (1,1) and (4,4). Demonstrating the properties of reflections across the y-axis, what are the reflected endpoints?

(-1,1) and (-4,4)

(-1,-1) and (-4,-4)

(-1,1) and (4,4)

(1,-1) and (4,-4)

Answer 2

To find the length of the line segment after the translation, we can use the distance formula.

The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the two endpoints after the translation are:
(6 + 4, 3 + 3) = (10, 6) and (6 + 4, 7 + 3) = (10, 10)

Substituting these coordinates into the distance formula, we get:
d = √((10 - 10)^2 + (10 - 6)^2)
= √(0^2 + 4^2)
= √(0 + 16)
= √16
= 4

Therefore, the length of the line segment after the translation is 4 units.

The correct response is: 4 units