Question

Points Q and V are graphed on the same coordinate grid:

Point Q is located at (2, −4).
Point V is located 4 units from point Q.
Which ordered pair could represent the location of point V?

A
(0, −2)
B
(−2, −4)
C
(−4, −4)
D
(−2, 0)

Answer 1

Distance from Q(2, −4) to each choice:

A: to (0, −2): √[(0−2)^2 + (−2+4)^2] = √(4+4) = 2√2 ≠ 4
B: to (−2, −4): √[(−2−2)^2 + (−4+4)^2] = √(16+0) = 4 ✅
C: to (−4, −4): √[(−4−2)^2 + 0^2] = √36 = 6
D: to (−2, 0): √[(−2−2)^2 + (0+4)^2] = √(16+16) = √32

Answer: B (−2, −4).