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= 180

4 sides – 2 = 2 x 180= 360

5 sides – 2 = 3 x 180= 540

360

pentagon

6 hexagon

77 900

octagon8

99 1260

10 decagon 1440

540

Rectangle has 2 triangles in it.

1

2

Pentagon has 3 triangles in it.

1

2 3

hexagon has 4 triangles in it.

3

21

4

heptagon has 5 triangles in it.

1

2

3

45

Rectangle has 2 triangles in it.

180

180

Pentagon has 3 triangles in it.

180

180 180

hexagon has 4 triangles in it.

180

180180

180

heptagon has 5 triangles in it.

180

180

180

180180

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= 180

4 sides – 2 = 2 x 180= 360

5 sides – 2 = 3 x 180= 540540

10. What would be the sum of the angles in a 52 sided polygon?

pentagon

6 hexagon

77 900

octagon

decagon

8

99 1260

10 1440

45 50 ?????

A straight line is always 180.

Whatever you have on the sides of the angle you subtract by 180.

180 – 45 = 135 – 50 = 85

The degree of this angle is 85.

85

4. What is the reflex of this angle? ____________________

http://www.youtube.com/watch?v=hrMT2A78Db8

75

http://www.youtube.com/watch?v=-XOjHC2nwUQ

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.