Other tags that relate to Star Polygons
Angle properties of polygons. Triangles. Visualising. Angles - points, lines and parallel lines. GeoGebra. 2D shapes and their properties. Tessellations. Mathematical reasoning & proof. Regular polygons and circles. Practical Activity.There are 90 results
Broad Topics > Physical and Digital Manipulatives > GeoGebra
Angles Inside
Age 11 to 14
Challenge Level
Draw some angles inside a rectangle. What do you notice? Can you prove it?
Tessellation Interactivity
Age 7 to 16
Challenge Level
An environment that enables you to investigate tessellations of regular polygons
Semi-regular Tessellations
Age 11 to 16
Challenge Level
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Pegboard Quads
Age 14 to 16
Challenge Level
Make five different quadrilaterals on a nine-point pegboard, without using the centre peg. Work out the angles in each quadrilateral you make. Now, what other relationships you can see?
Bow Tie
Age 11 to 14
Challenge Level
Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
Polygon Rings
Age 11 to 14
Challenge Level
Join pentagons together edge to edge. Will they form a ring?
Right Angles
Age 11 to 14
Challenge Level
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Subtended Angles
Age 11 to 14
Challenge Level
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
Cyclic Quadrilaterals
Age 11 to 16
Challenge Level
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
Triangles in Circles
Age 11 to 14
Challenge Level
Can you find triangles on a 9-point circle? Can you work out their angles?
Where Is the Dot?
Age 14 to 16
Challenge Level
A dot starts at the point (1,0) and turns anticlockwise. Can you estimate the height of the dot after it has turned through 45 degrees? Can you calculate its height?
Same Length
Age 11 to 16
Challenge Level
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
Impossible Picture?
Age 14 to 16
Challenge Level
Under what circumstances can you rearrange a big square to make three smaller squares?
Solving Together - Estimating Angles
Age 11 to 14
Week 2
How well can you estimate angles? Playing this game could improve your skills.
Using Geogebra
Age 11 to 18
Never used GeoGebra before? This article for complete beginners will help you to get started with this free dynamic geometry software.
Exploring Diagonals
Age 11 to 16
Move the corner of the rectangle. Can you work out what the purple number represents?
The Medieval Octagon
Age 14 to 16
Challenge Level
Medieval stonemasons used a method to construct octagons using ruler and compasses... Is the octagon regular? Proof please.
L-triominoes
Age 14 to 16
Challenge Level
L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
Coordinates of Corners
Age 11 to 16
Use the applet to make some squares. What patterns do you notice in the coordinates?
Areas from Vectors
Age 11 to 16
Use the applet to explore the area of a parallelogram and how it relates to vectors.
Rolling Around
Age 11 to 14
Challenge Level
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
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?
Mixing Paints
Age 11 to 14
Challenge Level
Can you work out how to produce different shades of pink paint?
Squaring the Rectangle
Age 14 to 18
Challenge Level
Can you find a way to turn a rectangle into a square?
Colour in the Square
Age 7 to 16
Challenge Level
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
A Brief Introduction to the Argand Diagram
Age 14 to 18
Challenge Level
Complex numbers can be represented graphically using an Argand diagram. This problem explains more...
Mixing More Paints
Age 14 to 16
Challenge Level
Can you find an efficent way to mix paints in any ratio?
Triangle in a Triangle
Age 14 to 16
Challenge Level
Can you work out the fraction of the original triangle that is covered by the inner triangle?
Nine Colours
Age 11 to 16
Challenge Level
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Mapping the Territory
Age 14 to 18
Challenge Level
Can you devise a system for making sense of complex multiplication?
Pythagoras Proofs
Age 14 to 16
Challenge Level
Can you make sense of these three proofs of Pythagoras' Theorem?
Surprising Equalities
Age 14 to 18
Challenge Level
Take any triangle, and construct squares on each of its sides. What do you notice about the areas of the new triangles formed?
Squirty
Age 14 to 16
Challenge Level
Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
Tilting Triangles
Age 14 to 16
Challenge Level
A right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates?
Into the Wilderness
Age 14 to 18
Challenge Level
Let's go further and see what happens when we multiply two complex numbers together!
Squaring the Circle and Circling the Square
Age 14 to 16
Challenge Level
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Strolling Along
Age 14 to 18
Challenge Level
What happens when we multiply a complex number by a real or an imaginary number?
Isosceles Triangles
Age 11 to 14
Challenge Level
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
Points in Pairs
Age 14 to 16
Challenge Level
Move the point P to see how P' moves. Then use your insights to calculate a missing length.
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?
Beelines
Age 14 to 16
Challenge Level
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Speeding Up, Slowing Down
Age 11 to 14
Challenge Level
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.
Square Coordinates
Age 11 to 14
Challenge Level
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
NRICH is part of the family of activities in the Millennium Mathematics Project.