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

(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

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

Answer 1

To find the new vertices of the triangle after the translation, we need to apply the translation rules. Translating right 4 units adds 4 to the x-coordinates, and translating down 2 units subtracts 2 from the y-coordinates.

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

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

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

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

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