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, 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, 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, 3) , (12, 3) , and (11, 5)

Answer 1

To translate the triangle with vertices (4, 3), (8, 3), and (7, 5), we will apply the translation by moving it to the right 4 units and down 2 units.

1. **Translate (4, 3):**
- Right 4 units: \(4 + 4 = 8\)
- Down 2 units: \(3 - 2 = 1\)
- New vertex: (8, 1)

2. **Translate (8, 3):**
- Right 4 units: \(8 + 4 = 12\)
- Down 2 units: \(3 - 2 = 1\)
- New vertex: (12, 1)

3. **Translate (7, 5):**
- Right 4 units: \(7 + 4 = 11\)
- Down 2 units: \(5 - 2 = 3\)
- New vertex: (11, 3)

After performing the translations, the new vertices of the triangle are (8, 1), (12, 1), and (11, 3).

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