A knight ‘s move in chess is two units horizontally (left or right) and one unit vertically (up or down) or two units vertically and one unit horizontally. Starting at (3,3), which points can be reached by a knight’s move? Plot them down and join them up
• List of points for the knight’s movements
• Plotting the points on a graph paper
• Joining of the points to form a shape
• Name of the shape
come on.
Just add 1 or 2 to the x- and y-coordinates.
A knight‘s move in chess is two units horizontally (left or right) and one unit vertically
(up or down), or two units vertically and one unit horizontally starting at (3, 3).
(i) Which points can be reached by a knight’s move?
(ii) Plot them and join them up.
(iii) What shape is formed?
To determine the points that can be reached by a knight's move, starting from (3,3), we can use the following steps:
1. List of points for the knight's movements:
- (1,2)
- (1,4)
- (2,1)
- (2,5)
- (4,1)
- (4,5)
- (5,2)
- (5,4)
These are the eight possible points that can be reached from (3,3) using a knight's move.
2. Plotting the points on a graph paper:
Using a graph paper, mark a point at (3,3) as your starting position. Then, plot the eight mentioned points on the graph paper.
3. Joining the points to form a shape:
Next, join the plotted points together in the order they were listed. This will form a shape on the graph paper.
4. Name of the shape:
The shape formed by joining the points will resemble an irregular octagon.
By following these steps, you can identify the points reachable by a knight's move from the starting position and visualize the shape that is formed on the graph paper.