Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector...

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Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicula r Bisector Perpendicular Line fro m a point NEAR a line P P P Perpendicular Line f rom a point ON a lin e

Transcript of Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector...

Page 1: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular line Construction

Aim:Divide a line in half at 90º

Perpendicular Bisector

Perpendicular Line from a point NEAR a line

PP

P

Perpendicular Line from a point ON a line

Page 2: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector A

Step1

Aim: Divide a line in half at 90º

Click to start

Rule a line

(leaving some space on each side of the line)

Home

Page 3: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector A

Compass point

Set your compass to

about ¾ of the line length

Step1

Aim: Divide a line in half at 90º

Home

Page 4: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point

Set your compass to

about ¾ of the line length

Step1

Aim: Divide a line in half at 90º

Home

Page 5: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point

Set your compass to

about ¾ of the line length

Step1

Aim: Divide a line in half at 90º

Home

Page 6: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point Arc into space

each side of the line

Step1

Aim: Divide a line in half at 90º

Home

Page 7: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point Arc into space

each side of the line

Step1

Aim: Divide a line in half at 90º

Home

Page 8: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point Arc into space

each side of the line

Step1

Aim: Divide a line in half at 90º

Home

Page 9: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point Arc into space

each side of the line

Step1

Aim: Divide a line in half at 90º

Home

Page 10: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point Arc into space

each side of the line

Step1

Aim: Divide a line in half at 90º

Home

Page 11: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector B

Compass point

Arc into space each side of

the line

Step1 Step2

Aim: Divide a line in half at 90º

Keep the compass the

same

Home

Page 12: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point

Arc into space each side of

the line

Step1 Step2

Aim: Divide a line in half at 90º

Keep the compass the

same

Home

Page 13: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point

Arc into space each side of

the line

Step1 Step2

Aim: Divide a line in half at 90º

Keep the compass the

same

Home

Page 14: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Compass point

Arc into space each side of

the line

Step1 Step2

Aim: Divide a line in half at 90º

Home

Page 15: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Aim: Divide a line in half at 90º

Perpendicular Bisector C

With this point

Use a ruler to join this point

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Step1 Step2 Step3 Home

Page 16: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Bisector

Aim: Divide a line in half at 90º

And half way

This should be 90º

90º

1

2

1

2

Perpendicular bisector

Step1 Step2 Step3 The End Circumcircle Home

Page 17: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Circumcircle Do the Perpendicular Bisectors of the sides of a triangle meet at one point?

This?

Step1 Step2 Step3 The End Circumcircle Home

Page 18: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Circumcircle Do the Perpendicular Bisectors of the sides of a triangle meet at one point?

OR This?

Step1 Step2 Step3 The End Circumcircle Home

Page 19: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Circumcircle Do the Perpendicular Bisectors of the sides of a triangle meet at one point?

Step1 Step2 Step3 The End Circumcircle Home

Page 20: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point A

Aim: Construct a line at 90º through a point near a line

P

Step1

Rule a line

Mark a point near the line (about 4cm away is fine)

Leave some space on either side of the line

Click to start

Home

Page 21: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point A

Compass point

Set your compass to reach over the line so the arc will cut twice

Aim: Construct a line at 90º through a point near a line

P

Step1 Home

Page 22: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point

Compass point

Set your compass to reach over the line so the arc will cut twice

Aim: Construct a line at 90º through a point near a line

P

Step1 Home

Page 23: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point

Compass point

Aim: Construct a line at 90º through a point near a line

P

Move your compass to one side

Step1 Home

Page 24: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point

Compass point

Aim: Construct a line at 90º through a point near a line

P

Step1 Home

Page 25: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point

Compass point

Aim: Construct a line at 90º through a point near a line

P

Step1 Home

Page 26: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point

Compass point

Aim: Construct a line at 90º through a point near a line

P

Step1 Home

Page 27: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point B

Aim: Construct a line at 90º through a point near a line

P

Step1 Step2 Home

Page 28: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Aim: Construct a line at 90º through a point near a line

Keep the compass the

same

Step1 Step2 Home

Page 29: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point near a line

Keep the compass the

same

Step1 Step2 Home

Page 30: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point near a line

Keep the compass the

same

Step1 Step2 Home

Page 31: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point near a line

Step1 Step2 Home

Page 32: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point near a line

Step1 Step2 Home

Page 33: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point near a line

Step1 Step2 Home

Page 34: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point C

Compass point

Arc into space each side of

the line

Keep the compass the

same

Aim: Construct a line at 90º through a point near a line

Step1 Step2 Step3 Home

Page 35: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point

Arc into space each side of

the line

Keep the compass the

same

Aim: Construct a line at 90º through a point near a line

Step1 Step2 Step3 Home

Page 36: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point

Arc into space each side of

the line

Keep the compass the

same

Aim: Construct a line at 90º through a point near a line

Step1 Step2 Step3 Home

Page 37: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point

Arc into space each side of

the line

Aim: Construct a line at 90º through a point near a line

Step1 Step2 Step3 Home

Page 38: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point D

With this point

Use a ruler to join this point

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Aim: Construct a line at 90º through a point near a line

Step1 Step2 Step3 Home

Page 39: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

This should be 90º

90º

Perpendicular Line

Step1 Step2 Step3 The End

Aim: Construct a line at 90º through a point near a line

Home

Page 40: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point A

Aim: Construct a line at 90º through a point on a line

P

Step1

Click to start

Rule a line

Mark a point on the line (not in the middle)

Leave some space on either side of the line

Home

Page 41: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point A

Compass point

Aim: Construct a line at 90º through a point on a line

P

Mark an arc on both sides of

point P

Step1 Home

Page 42: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point A

Compass point

Aim: Construct a line at 90º through a point on a line

P

Mark an arc on both sides of

point P

Step1 Home

Page 43: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point A

Compass point

Aim: Construct a line at 90º through a point on a line

P

Mark an arc on both sides of

point P

Step1 Home

Page 44: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point A

Compass point

Aim: Construct a line at 90º through a point on a line

P

Mark an arc on both sides of

point P

Step1 Home

Page 45: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point A

Compass point

Aim: Construct a line at 90º through a point on a line

P

Mark an arc on both sides of

point P

Step1 Home

Page 46: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point A

Compass point

Aim: Construct a line at 90º through a point on a line

P

Mark an arc on both sides of

point P

Step1 Home

Page 47: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point

Compass point

Set compass to ¾ the length of the arc

Aim: Construct a line at 90º through a point on a line

P

Step1 Step2 Home

Page 48: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

Perpendicular Line from a Point

Compass point

Set compass to ¾ the length of the arc

Aim: Construct a line at 90º through a point on a line

P

Step1 Step2 Home

Page 49: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point on a line

Keep the compass the

same

Step1 Step2 Home

Page 50: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point on a line

Keep the compass the

same

Step1 Step2 Home

Page 51: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point on a line

Keep the compass the

same

Step1 Step2 Home

Page 52: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point on a line

Keep the compass the

same

Step1 Step2 Home

Page 53: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point Arc into space

each side of the line

Aim: Construct a line at 90º through a point on a line

Keep the compass the

same

Step1 Step2 Home

Page 54: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point C

Compass point

Arc into space each side of

the line

Aim: Construct a line at 90º through a point on a line

Keep the compass the

same

Step1 Step2 Step3 Home

Page 55: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point

Arc into space each side of

the line

Aim: Construct a line at 90º through a point on a line

Keep the compass the

same

Step1 Step2 Step3 Home

Page 56: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point

Arc into space each side of

the line

Aim: Construct a line at 90º through a point on a line

Keep the compass the

same

Step1 Step2 Step3 Home

Page 57: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point

Compass point

Arc into space each side of

the line

Aim: Construct a line at 90º through a point on a line

Step1 Step2 Step3 Home

Page 58: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

P

Perpendicular Line from a Point D

With this point

Use a ruler to join this point

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Aim: Construct a line at 90º through a point on a line

Step1 Step2 Step3 Home

Page 59: Perpendicular line Construction Aim: Divide a line in half at 90º Perpendicular Bisector Perpendicular Line from a point NEAR a line P P P Perpendicular.

PP

Perpendicular Line from a Point

This should be 90º

90º

Perpendicular Line

Step1 Step2 Step3 The End

Aim: Construct a line at 90º through a point on a line

Home