5. Construct a triangle with an angle of 70° between 2 equal lines measuring 6.5cm. Find the length of the third side and the 2 remaining angles. What type of triangle is this?
6. Construct a triangle with 1 line measuring 6cm and the 2 angles on either end of this line measuring 60°. Complete the triangle.
Task: Construct a large-scale scalene triangle in the school yard using chalk, a protractor and a metre stick. 2 of the lines will measure 55cm and 90cm, with the angle between them measuring 50°. Complete the triangle.
Tessellating Shapes
Have a look at this photograph of the Giant’s Causeway in Co. Antrim. Do you notice any tessellating shape?
This is a natural example of a tessellation. Can you think of any more examples?
Remember: tessellation, or tiling, means arranging shapes in a repeated pattern so as to leave no spaces.
1. The diagram shows an example of squares tessellating.
Draw an example of each of the following 2-D shapes on a piece of paper and decide if the shapes tessellate or not.
a) circle d) rhombus
b) rectangle e) pentagon
c) trapezium f) triangle
g) Colour in your tessellations to make interesting patterns. 2. Design your own tessellating patttern.