A and C are the opposite vertices of a square ABCD, and have
coordinates (a,b) and (c,d), respectively. What are the coordinates
of the vertices B and D? What is the area of the square?
A 1 metre cube has one face on the ground and one face against a
wall. A 4 metre ladder leans against the wall and just touches the
cube. How high is the top of the ladder above the ground?
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Compare this to the problem
Vassil Vassilev from Lawnswood High School, has an idea for
constructing pentagons from the midpoints of edges based on nested
pentagons, and 5 pointed stars within them, which are all
enlargements of each other. You might like to play with this