Given that ABCD is a square, M is the mid point of AD and CP is perpendicular to MB with P on MB, prove DP = DC.
It is obvious that we can fit four circles of diameter 1 unit in a square of side 2 without overlapping. What is the smallest square into which we can fit 3 circles of diameter 1 unit?
What fractions can you divide the diagonal of a square into by simple folding?
What is the perimeter of this unusually shaped polygon...
ABCD is a square. P is the midpoint of AB and is joined to C. A line from D perpendicular to PC meets the line at the point Q. Prove AQ = AD.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...
Can you use the given image to say something about the sum of an infinite series?
This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
