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, 5)
, (12, 5)
, and (11, 7)
left parenthesis 8 comma 5 right parenthesis , left parenthesis 12 comma 5 right parenthesis , and left parenthesis 11 comma 7 right parenthesis

(0, 1)
, (4, 1)
, and (3, 3)
left parenthesis 0 comma 1 right parenthesis , left parenthesis 4 comma 1 right parenthesis , and left parenthesis 3 comma 3 right parenthesis

(8, 1)
, (12, 1)
, and (11, 3)
left parenthesis 8 comma 1 right parenthesis , left parenthesis 12 comma 1 right parenthesis , and left parenthesis 11 comma 3 right parenthesis

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

Answer 1

To translate a triangle, you add the translation values to each vertex's coordinates. The triangle has vertices at (4, 3), (8, 3), and (7, 5).

We need to translate the triangle to the right by 4 units and down by 2 units.

Here's how to do it for each vertex:

1. For the vertex (4, 3):

   • Move right: \(4 + 4 = 8\)
   • Move down: \(3 - 2 = 1\)
   • New vertex: (8, 1)

2. For the vertex (8, 3):

   • Move right: \(8 + 4 = 12\)
   • Move down: \(3 - 2 = 1\)
   • New vertex: (12, 1)

3. For the vertex (7, 5):

   • Move right: \(7 + 4 = 11\)
   • Move down: \(5 - 2 = 3\)
   • New vertex: (11, 3)

So the new vertices after translation are:

• (8, 1)
• (12, 1)
• (11, 3)

Therefore, the correct response is: (8, 1), (12, 1), and (11, 3).