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

Answer 1

To translate the triangle defined by the vertices (4, 3), (8, 3), and (7, 5) to the right 4 units and down 2 units, we will apply the following transformations to each vertex:

1. Translate right 4 units: This means adding 4 to the x-coordinate.
2. Translate down 2 units: This means subtracting 2 from the y-coordinate.

Now, let's perform these translations for each vertex:

1. For (4, 3):

   • New x-coordinate: 4 + 4 = 8
   • New y-coordinate: 3 - 2 = 1
   • Translated point: (8, 1)

2. For (8, 3):

   • New x-coordinate: 8 + 4 = 12
   • New y-coordinate: 3 - 2 = 1
   • Translated point: (12, 1)

3. For (7, 5):

   • New x-coordinate: 7 + 4 = 11
   • New y-coordinate: 5 - 2 = 3
   • Translated point: (11, 3)

Putting it all together, the new vertices after the translation are:

• (8, 1)
• (12, 1)
• (11, 3)

Thus, the answer is:

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