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

(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, 3)
, (12, 3)
, and (11, 5)
left parenthesis 8 comma 3 right parenthesis , left parenthesis 12 comma 3 right parenthesis , and left parenthesis 11 comma 5 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, 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

Answer 1

To translate the triangle with vertices (4, 3), (8, 3), and (7, 5), we will translate each vertex 4 units to the right and 2 units down.

1. For the vertex (4, 3):

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

2. For the vertex (8, 3):

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

3. For the vertex (7, 5):

   • Move 4 units to the right: \(7 + 4 = 11\)
   • Move 2 units down: \(5 - 2 = 3\)
   • New 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).