AABC has vertices A(-4, 4), B(-1,2), and C(-4,1). What are the coordinates of

Mathematics

1 answer:

steposvetlana [31]3 years ago

6 0

Answer:

(1, - 3 )

Step-by-step explanation:

Using the translation rule (x, y ) → (x + 2, y + 1 ), then

B(- 1, 2 ) → (- 1 + 2, 2 + 1) → (1, 3 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(1, 3 ) → (1, - 3 )

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First, convert the equation to standard form so that y is isolated.

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$-\frac{1}{5}$ is perpendicular to $-(\frac{-5}{1} )$ which simplifies to 5.

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$y = -\frac{1}{5}x + \frac{6}{5}\\$ is parallel to $y = -\frac{1}{5}x + 2\\$ just like $y = -\frac{1}{5}x - \frac{100}{23}$ .