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ZanzabumX [31]
1 year ago
6

Triangle ABC has vertices A(–1, 0), B(4, 0), and C(2, 6). If ΔABC is translated using the function rule (x, y) → (x – 6, y – 5)

and then rotated 180° clockwise, what would be the coordinates of the vertices of ΔA’’B’’C’’?
a. A’’(–5, 7), B’’(–5, 2), C’’(1, 4)
b. A’’(7, 5), B’’(2, 5), C’’(4, –1)
c. A’’(7, 5), B’’(2, 5), C’’(4, 1)
d. A’’(–7, –5), B’’(–2, –5), C’’(–4, 1)
Mathematics
1 answer:
Elina [12.6K]1 year ago
5 0

Answer:

b.  A''(7, 5), B''(2, 5), C''(4, –1)

Step-by-step explanation:

Given vertices of ΔABC:

  • A = (-1, 0)
  • B = (4, 0)
  • C = (2, 6)

Translation <u>mapping rule</u>:

(x, y) → (x – 6, y – 5)

Therefore:

  • A' = (-1 - 6, 0 - 5) = (-7, -5)
  • B' = (4 - 6, 0 - 5) = (-2, -5)
  • C' = (2 - 6, 6 - 5) = (-4, 1)

Rotation of 180° clockwise rule:

(x, y) → (-x, -y)

Therefore:

  • A'' = (-7, -5) = (7, 5)
  • B'' = (-2, -5) = (2, 5)
  • C'' = (-4, 1) = (4, -1)

Learn more about transformations here:

brainly.com/question/28354239

brainly.com/question/27743837

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