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, 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, 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, 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 (0, 1) , (4, 1) , and (3, 3)

Answer 1

To translate a triangle defined by its vertices \((4, 3)\), \((8, 3)\), and \((7, 5)\) to the right by 4 units and down by 2 units, you follow these steps:

1. **Translate to the right by 4 units**: You add 4 to the x-coordinates of each vertex.

\[
(4 + 4, 3) = (8, 3)
\]
\[
(8 + 4, 3) = (12, 3)
\]
\[
(7 + 4, 5) = (11, 5)
\]

2. **Translate down by 2 units**: You subtract 2 from the y-coordinates of each vertex.

\[
(8, 3 - 2) = (8, 1)
\]
\[
(12, 3 - 2) = (12, 1)
\]
\[
(11, 5 - 2) = (11, 3)
\]

So, the new vertices after the translation are \((8, 1)\), \((12, 1)\), and \((11, 3)\).

Matching this with the provided options, the correct response is:
\[
(8, 1), (12, 1), \text{ and } (11, 3)
\]

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