You may also like

problem icon

Just Opposite

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?

problem icon

Fitting In

The largest square which fits into a circle is ABCD and EFGH is a square with G and H on the line CD and E and F on the circumference of the circle. Show that AB = 5EF. Similarly the largest equilateral triangle which fits into a circle is LMN and PQR is an equilateral triangle with P and Q on the line LM and R on the circumference of the circle. Show that LM = 3PQ

problem icon

Pinned Squares

What is the total number of squares that can be made on a 5 by 5 geoboard?

Folding Squares

Age 14 to 16 Challenge Level:





Draw some squares and draw in a diagonal plus two lines joining one of the other two vertices to the midpoint of the opposite sides.

What do you notice?



Would this work with a rectangle, a parallelogram, a trapezium?