how to …… bisect an angle.. what? ‘bisect’ means to cut exactly in half. if you bisect an...

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How to …… Bisect an angle.

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Page 1: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

How to ……

Bisect an angle.

Page 2: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

What?

• ‘Bisect’ means to cut exactly in half.

• If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle you get two 30° angles.

• Any point on the angle bisector will be equidistant from the lines which make the original angle.

Page 3: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

I was okay until the last bit.

Angle bisector

Equal lengths

Page 4: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

How to bisect an angle

Page 5: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

Set your compasses to a reasonable length

Page 6: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

Place the point on the vertex of the angle

And draw 2 arcs.

Page 7: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

Like this….

Page 8: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

Now place the compass pointwhere one of the arcs cross

the line

And draw another arc ‘inside’ the angle

Page 9: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

Should look similar to this

Page 10: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

Now repeat on the other side

Page 11: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

Draw a line from where the arcscross to the vertex of the angle

Page 12: How to …… Bisect an angle.. What? ‘Bisect’ means to cut exactly in half. If you bisect an angle, you get two equal angles e.g. if you bisect a 60° angle

You have bisected the angle

Leave your arcs in situ