Question

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

3
)
, (8, 3)
(
8
,

3
)
, and (7, 5)
(
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, 1)
(
8
,

1
)
, (12, 1)
(
12
,

1
)
, and (11, 3)
(
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)
(
0
,

1
)
, (4, 1)
(
4
,

1
)
, and (3, 3)
(
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)
(
8
,

3
)
, (12, 3)
(
12
,

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

5
)
, (12, 5)
(
12

Answer 1

To find the vertices of the triangle after the translation, we need to apply the translation of moving 4 units to the right and 2 units down to each vertex of the triangle.

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

**Translation rules:**
- Moving to the right means we add to the x-coordinate.
- Moving down means we subtract from the y-coordinate.

Now we will apply these translations to each vertex:

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

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

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

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

Thus, the correct response is:

**(8, 1), (12, 1), and (11, 3)**.