ASVAB CampSpatial Orientation Basics flashcards
8 cards with the formulas, rules and traps from this lesson. Answer in your head, then flip to check.
Term · 1/8
Page frame vs. figure frame
The page frame is fixed (up, down, left, right of the sheet). The figure frame travels with the shape (its own top, front, sides). State which frame you mean; mixing them causes most errors.
Rule · 2/8
How do clockwise and counterclockwise turns relate, and how do you combine turns?
90° CCW = 270° CW. A 180° turn is the same either way. Add CW turns as positive, CCW as negative, and drop full 360° circles: 90 + 180 − 90 = a half-turn.
Formula · 3/8
Clockwise quarter-turn of cell (r, c) on an n by n grid
, rows counted from the top. On a 4 by 4 grid, (2, 1) moves to (1, 3).
Formula · 4/8
Counterclockwise quarter-turn and half-turn of cell (r, c) on an n by n grid
CCW: . Half-turn: . On a 3 by 3 grid, CCW sends (1, 1) to (3, 1).
Rule · 5/8
How does handedness tell a rotation from a reflection?
Read three landmarks clockwise. Rotations and slides keep that cyclic order (any starting point); a reflection reverses it. Red-blue-green becoming blue-green-red is a rotation; red-green-blue is a mirror.
Fact · 6/8
What do two flips across perpendicular mirror lines produce?
A half-turn: (x, y) becomes (−x, −y). The two mirror effects cancel, so the result is a true rotation, not a mirror image.
Common trap · 7/8
Why can one marked tile fail to separate a flip from a turn?
Different motions can send one cell to the same place: on a 3 by 3 grid both a left-right flip and a clockwise quarter-turn move (1, 1) to (1, 3). Use a second landmark.
Strategy · 8/8
Quick area check for shape-fitting choices
Add the piece areas and compare with the finished outline. Pieces of 6, 4 and 2 square units (12) can fill a 3 by 4 rectangle but never a 3 by 5 (15). Any mismatch rejects the choice.