Coming Attractions: hexagon regular This figuire is also a tesselation. If its regular then it fits together with no gaps. A tesselation is a shape with.

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Presentation transcript:

Coming Attractions: hexagon regular This figuire is also a tesselation. If its regular then it fits together with no gaps. A tesselation is a shape with no gaps.

9 pairs of parallel lines This is a pair of parallel lines. Parallel lines are lines that seem to never touch. These are all the pairs of parallel lines. One figure has 3 pairs of parallel lines. So that means that the other 2 hexagons have 3 pairs of parallel lines. Right know we have to find the sum of the angles.

7.What is the measure of each angle? Explain 8.Does this polygon tessellate? Explain

3 sides – 2 = 1 x 180= sides – 2 = 2 x 180= sides – 2 = 3 x 180= pentagon 6 hexagon octagon decagon

Rectangle has 2 triangles in it. 1 2 Pentagon has 3 triangles in it hexagon has 4 triangles in it heptagon has 5 triangles in it

Rectangle has 2 triangles in it. 180 Pentagon has 3 triangles in it. 180 hexagon has 4 triangles in it. 180 heptagon has 5 triangles in it. 180 The sum of the angles is 360. The sum of the angle is 540. The sum of this angle is 710. The sum of this angle is 890.

3 sides – 2 = 1 x 180= sides – 2 = 2 x 180= sides – 2 = 3 x 180= What would be the sum of the angles in a 52 sided polygon? pentagon 6 hexagon octagon decagon

45 50 ????? A straight line is always 180. Whatever you have on the sides of the angle you subtract by – 45 = 135 – 50 = 85 The degree of this angle is

4. What is the reflex of this angle? ____________________

75

Use auto shapes to draw a tessellation below This illustration is a tessellation because……. It is a picture with no gaps.

Using your chart, explain the pattern you see in Column A.

Using your chart, explain the relationship between the numbers in Column A and Column B.

Using your chart, describe the pattern you found in Column E.

Explain how you found your answer to the 150-sided figure. How do you know that your answer is correct?

A tesselation is a pair of shapes with no gaps. This tessalation is made out of hexagons.