Quadrilaterals

There are 64 NRICH Mathematical resources connected to Quadrilaterals
Shape Draw
problem

Shape Draw

Age
7 to 11
Challenge level
filled star empty star empty star
Use the information on these cards to draw the shape that is being described.
Poly Plug Rectangles
problem

Poly Plug Rectangles

Age
5 to 11
Challenge level
filled star empty star empty star
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Seeing Squares
problem

Seeing Squares

Age
5 to 11
Challenge level
filled star empty star empty star
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Opposite vertices
problem

Opposite vertices

Age
11 to 14
Challenge level
filled star filled star empty star
Can you recreate squares and rhombuses if you are only given a side or a diagonal?
Outside the Nonagon
problem

Outside the Nonagon

Age
11 to 14
Challenge level
filled star empty star empty star
Weekly Problem 44 - 2010
Extend two of the sides of a nonagon to form an angle. How large is this acute angle?
Quad match
problem

Quad match

Age
7 to 11
Challenge level
filled star filled star empty star
A task which depends on members of the group noticing the needs of others and responding.
Making Rectangles
problem

Making Rectangles

Age
7 to 14
Challenge level
filled star filled star empty star
A task which depends on members of the group noticing the needs of others and responding.
Square Pair
problem

Square Pair

Age
14 to 18
Challenge level
filled star filled star empty star
Explore the shape of a square after it is transformed by the action of a matrix.
Unusual Quadrilateral
problem

Unusual Quadrilateral

Age
14 to 16
Challenge level
filled star filled star empty star
This quadrilateral has an unusual shape. Are you able to find its area?
Bicentric Quadrilaterals
problem

Bicentric Quadrilaterals

Age
14 to 16
Challenge level
filled star filled star filled star
Investigate the properties of quadrilaterals which can be drawn with a circle just touching each side and another circle just touching each vertex.