Question

Line segment CD had endpoints (-2,5) and D(3,7). Jill translated CD down 7 units and labeled the new line segment C' D'. What are the coordinates of the endpoints of CD'?

Option 1: (-9, 5), (-4,7)
Option 2: (5,-2), (7,3)
Option 3: (-2,-2), (3, 0)
Option 4: (2,-5), (-3, -7)

Answer 1

The coordinates of the endpoints of line segment CD' after being translated down 7 units are C'(-2, -2) and D'(3, 0).

Step-by-step explanation:

The student is asking about a translation of a line segment in coordinate geometry. The original line segment CD has endpoints C(-2,5) and D(3,7). To translate this segment down by 7 units, we subtract 7 from the y-coordinates of each endpoint, but the x-coordinates remain unchanged.

So, the new coordinates for C' will be (-2, 5-7), which calculates to (-2, -2), and the coordinates for D' will be (3, 7-7), which results in (3, 0). Therefore, the endpoints of line segment C'D' after the translation are C'(-2, -2) and D'(3, 0).