Resources tagged with: Quadrilaterals

Other tags that relate to Triangles in a Square

GeoGebra. Area - triangles, quadrilaterals, compound shapes. Quadrilaterals. Triangles. Sine, cosine, tangent. Pythagoras' theorem. Visualising. 2D shapes and their properties. Ratio and proportion. Generalising.

There are 23 results

Broad Topics > Angles, Polygons, and Geometrical Proof > Quadrilaterals

Triangle Transformation

Age 7 to 14
Challenge Level

Start with a triangle. Can you cut it up to make a rectangle?

Completing Quadrilaterals

Age 11 to 14
Challenge Level

We started drawing some quadrilaterals - can you complete them?

A farmer has a field which is the shape of a trapezium as illustrated below. To increase his profits he wishes to grow two different crops. To do this he would like to divide the field into two. . . .

Trapezium Four

Age 14 to 16
Challenge Level

The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?

Shapely Pairs

Age 11 to 14
Challenge Level

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

Property Chart

Age 11 to 14
Challenge Level

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

Quadrilaterals Game

Age 11 to 14
Challenge Level

A game for 2 or more people, based on the traditional card game Rummy.

Poly Plug Rectangles

Age 5 to 14
Challenge Level

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?

Linkage

Age 11 to 14
Challenge Level

Four rods, two of length a and two of length b, are linked to form a kite. The linkage is moveable so that the angles change. What is the maximum area of the kite?

Lawnmower

Age 14 to 16
Challenge Level

A kite shaped lawn consists of an equilateral triangle ABC of side 130 feet and an isosceles triangle BCD in which BD and CD are of length 169 feet. A gardener has a motor mower which cuts strips of. . . .

Arrowhead

Age 14 to 16
Challenge Level

The points P, Q, R and S are the midpoints of the edges of a non-convex quadrilateral.What do you notice about the quadrilateral PQRS and its area?

Quad in Quad

Age 14 to 16
Challenge Level

Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

The Cyclic Quadrilateral

Age 11 to 16

This gives a short summary of the properties and theorems of cyclic quadrilaterals and links to some practical examples to be found elsewhere on the site.

Bicentric Quadrilaterals

Age 14 to 16
Challenge Level

Investigate the properties of quadrilaterals which can be drawn with a circle just touching each side and another circle just touching each vertex.

Long Short

Age 14 to 16
Challenge Level

What can you say about the lengths of the sides of a quadrilateral whose vertices are on a unit circle?

Cyclic Quad Jigsaw

Age 14 to 16
Challenge Level

A picture is made by joining five small quadrilaterals together to make a large quadrilateral. Is it possible to draw a similar picture if all the small quadrilaterals are cyclic?

Bendy Quad

Age 14 to 16
Challenge Level

Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.