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)

Question

(−5, 2) and (−3,−2) left parenthesis negative 5 comma 2 right parenthesis and left parenthesis negative 3 comma negative 2 right parenthesis (−7, 4) and (−5, 0) left parenthesis negative 7 comma 4 right parenthesis and left parenthesis negative 5 comma 0 right parenthesis (−5, 7) and (−3, 3) left parenthesis negative 5 comma 7 right parenthesis and left parenthesis negative 3 comma 3 right parenthesis (1, 2) and (3,−2)

Answer 1

To translate the endpoints of the line segment 3 units to the left and 5 units down, we will adjust each endpoint accordingly.

1. Start with the original endpoints:

   • Endpoint A: (-2, 7)
   • Endpoint B: (0, 3)

2. For translating to the left by 3 units, we subtract 3 from the x-coordinate of each endpoint:

   • For Endpoint A: \((-2 - 3, 7) = (-5, 7)\)
   • For Endpoint B: \((0 - 3, 3) = (-3, 3)\)

3. For translating down by 5 units, we subtract 5 from the y-coordinate of each endpoint:

   • For Endpoint A: \((-5, 7 - 5) = (-5, 2)\)
   • For Endpoint B: \((-3, 3 - 5) = (-3, -2)\)

Thus, after the translation, the new endpoints of the line segment are:

• New Endpoint A: (-5, 2)
• New Endpoint B: (-3, -2)

Therefore, the translated line segment's endpoints are \((-5, 2)\) and \((-3, -2)\).