Demonstrate the translation of a line segment of 3 units to the left and 5 units down if the endpoints of the line segment are (−2, 7) and (0, 3).(1 point)
Responses
(1, 2) and (3,−2)
(−5, 2) and (−3,−2)
(−5, 7) and (−3, 3)
(−7, 4) and (−5, 0)
To translate a line segment, we move each endpoint of the line segment by the same amount and in the same direction. In this case, the line segment needs to be moved 3 units to the left and 5 units down.
Starting with the first endpoint (−2, 7), we move 3 units to the left by subtracting 3 from the x-coordinate. We also move 5 units down by subtracting 5 from the y-coordinate.
So the new coordinates of the first endpoint are: (-2 - 3, 7 - 5) which simplifies to (-5, 2).
Now let's do the same for the second endpoint (0, 3). We move 3 units to the left by subtracting 3 from the x-coordinate. We also move 5 units down by subtracting 5 from the y-coordinate.
So the new coordinates of the second endpoint are: (0 - 3, 3 - 5) which simplifies to (-3, -2).
Therefore, the translated line segment has endpoints at (-5, 2) and (-3, -2).
The correct answer is: (−5, 2) and (−3,−2)