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)
To demonstrate the translation of a line segment of 3 units to the left and 5 units down, we need to adjust the coordinates of the endpoints.
Given the original endpoints of the line segment: (−2, 7) and (0, 3), we will apply the translation.
First, we'll move 3 units to the left. To do this, subtract 3 from the x-coordinates of both endpoints:
New endpoint 1: (−2 - 3, 7) = (−5, 7)
New endpoint 2: (0 - 3, 3) = (−3, 3)
Now, we'll move 5 units down. To do this, subtract 5 from the y-coordinates of both endpoints:
New endpoint 1: (−5, 7 - 5) = (−5, 2)
New endpoint 2: (−3, 3 - 5) = (−3, −2)
Therefore, after the translation, the line segment is moved 3 units to the left and 5 units down, and the new endpoints are (−5, 2) and (−3, −2).
To translate a line segment 3 units to the left and 5 units down, you need to subtract 3 from the x-coordinates of the endpoints and subtract 5 from the y-coordinates of the endpoints.
The original endpoint A is (-2, 7) and the translated endpoint A' will be:
x-coordinate of A' = x-coordinate of A - 3 = -2 - 3 = -5
y-coordinate of A' = y-coordinate of A - 5 = 7 - 5 = 2
So the translated endpoint A' is (-5, 2).
Similarly, the original endpoint B is (0, 3) and the translated endpoint B' will be:
x-coordinate of B' = x-coordinate of B - 3 = 0 - 3 = -3
y-coordinate of B' = y-coordinate of B - 5 = 3 - 5 = -2
So the translated endpoint B' is (-3, -2).
Therefore, the translated line segment with endpoints A' (-5, 2) and B' (-3, -2) represents the translation of 3 units to the left and 5 units down from the original line segment with endpoints A (-2, 7) and B (0, 3).