Question

connor is constructing rectangle abcd. he has plotted a at (-2, 4), b at (0, 3), and c at (-2, -1). which coordinate could be the location of point d?

d (-5, 1)
d (-4, 0)
d (-3, 11)
d (-2, 2)

Explanation:

Calculate the vector from B to A

$$ \vec{BA} = A - B = (-2 - 0, 4 - 3) = (-2, 1) $$

Apply the vector translation to C to find D

$$ D = C + \vec{BA} = (-2, -1) + (-2, 1) = (-4, 0) $$

Verify the coordinates of D

$$ D = (-4, 0) $$

Answer:

• (A) D (-5, 1)
• (B) D (-4, 0) (Correct answer)
• (C) D (-3, 11)
• (D) D (-2, 2)