If a triangle with vertices (4, 3)

Question

, (8, 3)
, and (7, 5)
is translated to the right 4 units and down 2 units, what are the vertices of the translated figure

Answer 1

To find the new vertices after translating the triangle, we will apply the translation transformation to each vertex. The translation rule here is that we will add 4 to the x-coordinate (for the right translation) and subtract 2 from the y-coordinate (for the downward translation).

Starting with the original vertices:

1. (4, 3)
2. (8, 3)
3. (7, 5)

Now, we will translate each vertex:

1. For (4, 3):

   • New x-coordinate: 4 + 4 = 8
   • New y-coordinate: 3 - 2 = 1
   • New vertex: (8, 1)

2. For (8, 3):

   • New x-coordinate: 8 + 4 = 12
   • New y-coordinate: 3 - 2 = 1
   • New vertex: (12, 1)

3. For (7, 5):

   • New x-coordinate: 7 + 4 = 11
   • New y-coordinate: 5 - 2 = 3
   • New vertex: (11, 3)

Thus, the vertices of the translated triangle are:

• (8, 1)
• (12, 1)
• (11, 3)