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

Name That Triangle!

Age 7 to 11
Challenge Level

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

Possible Pairs

Age 7 to 11
Challenge Level

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

Cartesian Isometric

Age 7 to 11
Challenge 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 11
Challenge Level

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

Fred the Class Robot

Age 7 to 11
Challenge 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?

LOGO Challenge 4 - Squares to Procedures

Age 11 to 16
Challenge 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 16
Challenge Level

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

Which Solids Can We Make?

Age 11 to 14
Challenge 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?

Getting an Angle

Age 11 to 14
Challenge Level

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

Triangles All Around

Age 7 to 11
Challenge Level

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

Triangle Pin-down

Age 7 to 11
Challenge Level

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

Data Duos

Age 7 to 11
Challenge Level

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

Star Polygons

Age 11 to 14
Challenge Level

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

Always, Sometimes or Never? Shape

Age 7 to 11
Challenge Level

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

Gibraltar Geometry

Age 11 to 14
Challenge Level

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

Angles Inside

Age 11 to 14
Challenge Level

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

Polygon Pictures

Age 11 to 14
Challenge Level

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

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.

Polygon Rings

Age 11 to 14
Challenge Level

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

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?

Convex Polygons

Age 11 to 14
Challenge Level

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

First Forward Into Logo 9: Stars

Age 11 to 18
Challenge Level

Turn through bigger angles and draw stars with Logo.

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.

First Forward Into Logo 7: Angles of Polygons

Age 11 to 18
Challenge Level

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

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?

Tessellating Hexagons

Age 11 to 14
Challenge Level

Which hexagons tessellate?