Question

If a triangle with vertices (4, 3)
, (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)

Answer 1

To translate the triangle, we need to add 4 to the x-coordinates and subtract 2 from the y-coordinates of each vertex.

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

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

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

So the translated vertices are (8, 1), (12, 1), and (11, 3).

The correct response is:
(8, 1), (12, 1), and (11, 3) \( \text{(8, 1), (12, 1), and (11, 3)} \)