# Resources tagged with: Angle properties of polygons

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### There are 26 results

Broad Topics > Angles, Polygons, and Geometrical Proof > Angle properties of polygons

### Possible Pairs

##### Age 7 to 11Challenge Level

In this game, you turn over two cards and try to draw a triangle which has both properties.

### Name That Triangle!

##### Age 7 to 11Challenge Level

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

### Cartesian Isometric

##### Age 7 to 11Challenge Level

The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?

### Transformations on a Pegboard

##### Age 7 to 11Challenge Level

How would you move the bands on the pegboard to alter these shapes?

### Fred the Class Robot

##### Age 7 to 11Challenge Level

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?

### Triangles All Around

##### Age 7 to 11Challenge Level

Can you find all the different triangles on these peg boards, and find their angles?

### Triangle Pin-down

##### Age 7 to 11Challenge Level

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

### Always, Sometimes or Never? Shape

##### Age 7 to 11Challenge Level

Are these statements always true, sometimes true or never true?

### LOGO Challenge 4 - Squares to Procedures

##### Age 11 to 16Challenge Level

This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.

### Logo Challenge 3 - Star Square

##### Age 7 to 16Challenge Level

Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles

### Getting an Angle

##### Age 11 to 14Challenge Level

How can you make an angle of 60 degrees by folding a sheet of paper twice?

### First Forward Into Logo 9: Stars

##### Age 11 to 18Challenge Level

Turn through bigger angles and draw stars with Logo.

### First Forward Into Logo 7: Angles of Polygons

##### Age 11 to 18Challenge Level

More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.

### Convex Polygons

##### Age 11 to 14Challenge Level

Show that among the interior angles of a convex polygon there cannot be more than three acute angles.

### Semi-regular Tessellations

##### Age 11 to 16Challenge Level

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

### Which Solids Can We Make?

##### Age 11 to 14Challenge Level

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

### Polygon Rings

##### Age 11 to 14Challenge Level

Join pentagons together edge to edge. Will they form a ring?

### Star Polygons

##### Age 11 to 14Challenge Level

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?

### Data Duos

##### Age 7 to 11Challenge Level

Can you match the Venn diagram with the Carroll diagram that shows the same information?

### Bow Tie

##### Age 11 to 14Challenge 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.

### Arclets Explained

##### Age 11 to 16

This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.

##### Age 11 to 16Challenge Level

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

### Tessellating Hexagons

##### Age 11 to 14Challenge Level

Which hexagons tessellate?

### Polygon Pictures

##### Age 11 to 14Challenge Level

Can you work out how these polygon pictures were drawn, and use that to figure out their angles?

### Angles Inside

##### Age 11 to 14Challenge Level

Draw some angles inside a rectangle. What do you notice? Can you prove it?

### Gibraltar Geometry

##### Age 11 to 14Challenge Level

Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?