下面的正方形网格显示了点 A、B、C、D、E、F 和 G 的位置。

1. Determine the relative position of E from B on the grid

Point B is at column 3, row 1 (top border).
Point E is at column 5 (right border), row 3.
From B to E, the movement is $5 - 3 = 2$ units to the right (East) and $3 - 1 = 2$ units down (South).

2. Determine the compass direction based on the relative movement

Since the movement is equal units East and South (2 units each), the direction is exactly halfway between South and East, which is South-East.

1. Understand the rotation and relative positions

Kayel turns $45^\circ$ anti-clockwise from facing C to face G. This means the angle between the line of sight to C and the line of sight to G is $45^\circ$, with C being clockwise from G.

2. Test possible points for Kayel's position

Let's check the points. The angle between the line to C and the line to G must be $45^\circ$.
From D (row 3, col 4):

• C is at (row 2, col 4), which is exactly North of D.
• G is at (row 3, col 2), which is exactly West of D.
• The angle between North (facing C) and West (facing G) is $90^\circ$, not $45^\circ$.
  From F (row 5, col 3):
• C is at (row 2, col 4). Vector FC is 1 unit right, 3 units up.
• G is at (row 3, col 2). Vector FG is 1 unit left, 2 units up.
• The angle is not $45^\circ$.
  From A (row 2, col 1):
• C is at (row 2, col 4), exactly East.
• G is at (row 3, col 2), 1 unit right, 1 unit down (South-East).
• The angle between East and South-East is $45^\circ$. If Kayel is at A facing C (East), turning $45^\circ$ clockwise would face G. But the question says anti-clockwise.
  From E (row 3, col 5):
• C is at (row 2, col 4), 1 unit left, 1 unit up (North-West).
• G is at (row 3, col 2), exactly West.
• Facing C (North-West) and turning $45^\circ$ anti-clockwise brings the direction to West, which is exactly facing G.