Question

The endpoints of a segment are (–5, –3) and (0, 2). What are the endpoints of the segment after it has been translated 4 units up? A. (–5, –7), (0, –2) b. (–5, 1), (0, 6) c. (–1, –3), (4, 2) d. (–1, 1), (4, 6)

Answer 1

b.
`(-5,1)` and
`(0,6)`

Explanation:

We have been given the endpoints of a segment. We are asked to find the coordinates of endpoints of segment after it has been translated 4 units up.

We know that when a point is translated upwards by 'a' units, we need to add 'a' units to its y-coordinate.

To find the coordinates of segment after a translation of 4 units upwards, we will add 4 to y-coordinates of both points as:

`(-5,-3)\Rightarrow{-5,(-3+4)=(-5,1)`

`(0,2)\Rightarrow{0,(2+4)=(0,6)`

Therefore, the endpoints of the segment after translation would be
`(-5,1)` and
`(0,6)`.

Answer 2

4 units up means 4 is added to the y-coordinate

(-5, -3 + 4) and (0, 2 + 4)

= (-5, 1) and (0, 6)

Answer: B