If a triangle with vertices (4, 3)

Question

, (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

(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

Answer 1

To find the new vertices of the triangle after the translation, we need to apply the translation vector to each vertex of the triangle.

The triangle has the following vertices:

• \( (4, 3) \)
• \( (8, 3) \)
• \( (7, 5) \)

The translation is to the right by 4 units and down by 2 units. This means we will:

1. Add 4 to the x-coordinate (to move right).
2. Subtract 2 from the y-coordinate (to move down).

Let's calculate the new coordinates for each vertex:

1. For vertex \( (4, 3) \): \[ (4 + 4, 3 - 2) = (8, 1) \]

2. For vertex \( (8, 3) \): \[ (8 + 4, 3 - 2) = (12, 1) \]

3. For vertex \( (7, 5) \): \[ (7 + 4, 5 - 2) = (11, 3) \]

Now we have the new vertices of the translated triangle:

• \( (8, 1) \)
• \( (12, 1) \)
• \( (11, 3) \)

Comparing these new vertices with the provided responses, the correct option is: (8, 1), (12, 1), and (11, 3).