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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)

1 answer

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).