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?(1 point)
Responses

(8, 3), (12, 3), and (11, 5)

(0, 1), (4, 1), and (3, 3)

(8, 1), (12, 1), and (11, 3)

(8, 5), (12, 5), and (11, 7)

Answer 1

To translate the triangle with vertices \((4, 3)\), \((8, 3)\), and \((7, 5)\) to the right by 4 units and down by 2 units, we will apply the following transformations to each vertex:

1. Translation to the right by 4 units: This means we will add 4 to the x-coordinate.
2. Translation down by 2 units: This means we will subtract 2 from the y-coordinate.

Let's apply these transformations to each vertex:

1. For the vertex \((4, 3)\):

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

2. For the vertex \((8, 3)\):

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

3. For the vertex \((7, 5)\):

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

Thus, the vertices of the translated triangle are \((8, 1)\), \((12, 1)\), and \((11, 3)\).

The correct response is:

(8, 1), (12, 1), and (11, 3).