ASVAB (Armed Services Vocational Aptitude Battery)Mathematics Knowledge (MK)Medium
A military analyst is tracking troop movements. If a unit starts at point A (-4, 3) and moves 6 units to the right and 8 units down, what are the new coordinates of the unit's position?
- A(2, -5)
- B(-10, -5)
- C(-10, 11)
- D(2, 11)
Show answer & explanationAnswer & explanation
Correct answer: A. (2, -5)
Moving 6 units to the right means adding 6 to the x-coordinate: -4 + 6 = 2. Moving 8 units down means subtracting 8 from the y-coordinate: 3 - 8 = -5. So, the new coordinates are (2, -5).
Why the other options are wrong
- B. Incorrect direction for both horizontal and vertical movement.
- C. Incorrect direction for movement (e.g., subtracted from x, added to y).
- D. Incorrect direction for vertical movement (added instead of subtracted).
Coordinate Plane Translation
Translation on a coordinate plane involves shifting a point or figure horizontally and/or vertically without rotation or reflection. This changes its coordinates.
- Moving right: add to x-coordinate.
- Moving left: subtract from x-coordinate.
- Moving up: add to y-coordinate.
- Moving down: subtract from y-coordinate.
Memory trick: Right is 'R'ight (plus X), Down 'D'ecreases (minus Y).