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, 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

(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

(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

Answer 1

To translate the triangle, we will apply the specified transformations to each vertex of the triangle.

The original vertices of the triangle are:
1. (4, 3)
2. (8, 3)
3. (7, 5)

**Translation:**
- Move to the right 4 units: This means we will add 4 to the x-coordinate of each vertex.
- Move down 2 units: This means we will subtract 2 from the y-coordinate of each vertex.

Let's apply these transformations to each vertex:

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

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

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

So the new vertices of the triangle after translation are:
- (8, 1)
- (12, 1)
- (11, 3)

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