Triangle A (3,6) B (1,0) C (4,2) is translated 3 units right and 2 units down to ABC. what’s the new coordinates of the vertices

Answer 1

To find the new coordinates of triangle ABC after the translation, you need to add 3 units to the x-coordinates and subtract 2 units from the y-coordinates of each vertex.

The original coordinates of the vertices are:

• A (3, 6)
• B (1, 0)
• C (4, 2)

Now, we will perform the translation:

1. Vertex A:

   • New x-coordinate: \(3 + 3 = 6\)
   • New y-coordinate: \(6 - 2 = 4\)
   • New coordinates: \(A' (6, 4)\)

2. Vertex B:

   • New x-coordinate: \(1 + 3 = 4\)
   • New y-coordinate: \(0 - 2 = -2\)
   • New coordinates: \(B' (4, -2)\)

3. Vertex C:

   • New x-coordinate: \(4 + 3 = 7\)
   • New y-coordinate: \(2 - 2 = 0\)
   • New coordinates: \(C' (7, 0)\)

Therefore, the new coordinates of the vertices A', B', and C' after the translation are:

• A' (6, 4)
• B' (4, -2)
• C' (7, 0)