## Construct.CompassStraightedge History

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Given: A line segment with start point A and a line with point P on it.
Goal: Construct a line segment with start point P on this line such that the line segments are congruent (lengths are equal).
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Reference: http://www.mathopenref.com/constcopysegment.html
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September 04, 2008, at 06:55 AM by LFS -

[row]
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[tableend]

September 03, 2008, at 09:59 AM by LFS -
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Given: You start with a line segment with start point A and a line with point P on it.
Goal: To construct a line segment with start point P on this line such that the line segments are congruent (lengths are equal).
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Given: A line segment with start point A and a line with point P on it.
Goal: Construct a line segment with start point P on this line such that the line segments are congruent (lengths are equal).
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Given: a triangle ΔABC and a line with a point P on it.
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Given: A triangle ΔABC and a line with a point P on it.
September 03, 2008, at 08:27 AM by LFS -
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Given: A line m \,\,and a point C \,\, NOT on m \,\,.
Goal: Construct (find) a line p passing through C \,\,and parallel to m \,\,.
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Given: An angle.
Goal: Construct the ray that bisects this angle (divides it into two equal angles).
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Reference: http://www.mathopenref.com/constparallel.html%%
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Reference: http://www.mathopenref.com/constbisectangle.html
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Given: An angle.
Goal: Construct the ray that bisects this angle (divides it into two equal angles).
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Given: A line m \,\,and a point C \,\, NOT on m \,\,.
Goal: Construct (find) a line p passing through C \,\,and parallel to m \,\,.
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Reference: http://www.mathopenref.com/constbisectangle.html
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Reference: http://www.mathopenref.com/constparallel.html%%
September 03, 2008, at 08:13 AM by LFS -
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September 03, 2008, at 08:04 AM by LFS -
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Start: You start with a line segment with start point A and a line with point P on it.

Goal: To construct a line segment with start point P on this line such that the line segments are congruent (lengths are equal).

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Given: You start with a line segment with start point A and a line with point P on it.
Goal: To construct a line segment with start point P on this line such that the line segments are congruent (lengths are equal).
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Given: a line m \,\,with a point A \,\,on m \,\,.
Goal: Construct a line n passing through A \,\,and perpendicular (normal) to m \,\,.
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Given: a triangle ΔABC and a line with a point P on it.
Goal: Construct a congruent triangle ΔPRS such that the line segment \overline{PR} lies on the given line.
September 03, 2008, at 07:59 AM by LFS -
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Given: a line m \,\,with a point A \,\,on m \,\,.
Goal: Construct a line n passing through A \,\,and perpendicular (normal) to m \,\,.
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Start: You start with a line segment with start point A and a line with point P on it.

Goal: To construct a line segment with start point P on this line such that the line segments are congruent (lengths are equal).

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Reference: http://www.mathopenref.com/constbisectangle.html
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Reference: http://www.mathopenref.com/constbisectline.html%%
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September 01, 2008, at 09:48 AM by LFS -
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Given: An angle with vertex A.
Goal: Copy this angle onto a line with point B so that B is the vertex.
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Given: An angle α with vertex A.
Goal: Copy angle α onto a line with point P so that P is the vertex.
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August 31, 2008, at 01:50 PM by LFS -
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update:30 August 2008
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update:30 August 2008
August 31, 2008, at 01:39 PM by LFS -
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*** To use this today, you need to go to geogebra.org -> Future and download the pre-release of GeoGebra 3.1 ***

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*** To use this offline today, you need to get the pre-release of GeoGebra 3.1:  Click here ***

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*** To use this today, you need to go to geogebra.org -> Future and download the pre-release of GeoGebra 3.1 ***

August 31, 2008, at 01:25 PM by LFS -
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April 24, 2008, at 11:40 PM by LFS -
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Given: A line m \,\,with a point C \,\, NOT on m \,\,.
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Given: A line m \,\,and a point C \,\, NOT on m \,\,.
March 10, 2008, at 12:47 AM by LFS -
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"Take your compass and stick the needle in point B and widen it until it reaches point C.

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"a.k.a. Take your compass and stick the needle in point B and widen it until it reaches point C.

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geometric, construct, construction, straightedge, compass, ruler, geogebra, application, geometry, program

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geometric, construct, construction, straightedge, compass, ruler, geogebra, application, geometry, program

March 10, 2008, at 12:32 AM by LFS -
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February 27, 2008, at 01:08 PM by LFS -
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Given: A line segment \overline AB .
Goal: Construct the point C \overline AB that is halfway between A and B.
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Given: A line segment \overline {AB} .
Goal: Construct the point C \overline {AB} that is halfway between A and B.
February 27, 2008, at 12:54 PM by LFS -
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Given: A line segment \overline AB .
Goal: Construct the point C \overline AB that is halfway between A and B.
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February 27, 2008, at 11:36 AM by LFS -
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Given: a line m \,\,with a point C \,\, NOT on m \,\,.
Goal: To construct (find) a line p passing through C \,\,and parallel to m \,\,.
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Given: A line m \,\,with a point C \,\, NOT on m \,\,.
Goal: Construct (find) a line p passing through C \,\,and parallel to m \,\,.
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February 22, 2008, at 03:15 AM by LFS -
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Reference: http://www.mathopenref.com/constperpendray.html
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Reference: http://www.mathopenref.com/constparallel.html%%
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February 22, 2008, at 02:59 AM by LFS -
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Given: a  line m \,\,with a point A \,\,on m \,\,.
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Given: a line m \,\,with a point A \,\,on m \,\,.
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2. copy an angle

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Start: You start with a  line m \,\,with a point C \,\, NOT on m \,\,.
Goal: To construct (find) a line p passing through C \,\,and parallel to m \,\,.

http://www.mathopenref.com/constparallel.html

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Thanks: My special thanks to all my colleagues at the GeoGebra forum for their never-ending and oh-so-generous help without which I could never do these activities!

February 22, 2008, at 01:04 AM by LFS -
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Start: You start with a line segment \overline{AB} \,\,and a line m \,\,with a point C \,\,on it.

Goal: To construct a point D on m \,\,such that \overline{CD}\,\, is congruent to \overline{AB} \,\, (lengths of segments are equal).

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Start: You start with a  line m \,\,with a point A \,\,on m \,\,.
Goal: To construct (find) a line n passing through A \,\,and perpendicular (normal) to m \,\,.

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Start: You start with a line segment \overline{AB} \,\,and a line m \,\,with a point C \,\,on it.

Goal: To construct a point D on m \,\,such that \overline{CD}\,\, is congruent to \overline{AB} \,\, (lengths of segments are equal).

February 21, 2008, at 03:31 PM by LFS -
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Now stick the needle in point A and draw a circle."

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Now stick the needle in point A and draw a circle."

February 21, 2008, at 03:30 PM by LFS -
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"Take your compass and stick the needle in point B and widen it until it reaches point C. Now stick the needle in point A and draw a circle."

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"Take your compass and stick the needle in point B and widen it until it reaches point C.
Now stick the needle in point A and draw a circle."

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c10"Take your compass and stick the needle in point B and widen it until it reaches point C. Now stick the needle in point A and draw a circle."

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"Take your compass and stick the needle in point B and widen it until it reaches point C. Now stick the needle in point A and draw a circle."

February 21, 2008, at 03:15 PM by LFS -
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Thanks: My special thanks to all my colleagues at the GeoGebra forum for their never-ending and oh-so-generous help without which I could never do these activities!

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Circle 1
Circle 2
Intersect point
Rename
Zoomout
Undo
Angles with 3 points - Checking only!
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The GeoGebra file: BasicConstruct.ggb.

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Here is a little mathcast (video) explaining how to get the "givens" ...

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February 20, 2008, at 01:45 PM by LFS -

(printable pdf)

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Here is a little mathcast (video) explaining a few more useful techniques ...

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1. Circle with center and radius: the distance between 2 points Attach:circendis.jpg Δ and
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1. Circle with center and radius: the distance between 2 points and
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I got bored of typing (so I assume our students will too!) and so designed the new tool.
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I got bored of typing (so assume our students will too!) and designed the new tool.
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Regulation: You can "use" a ruler for a straightedge, but you cannot use the measurements on it!

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How do we do?

Circle 1
Circle 2
Intersect point
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Here is a little mathcast (video) explaining how to get basic setups ...

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A point C
1. New Point and
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What do we do when it says: Given ...

a point C

We use: New Point (and Move tool: )

a line m with a point A

We use: Line through two points (and Move tool: )

a line m

We use: Line through two points (and Move tool: )

a circle
an angle
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I got bored of typing  (so I assume our students will too!) and so designed the new tool.
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Checking tool: A fun tool for checking our work ...
1. Angle and Distance
Move and Select Tools
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Pencil tools: Point and Intersection point
Staightedge tool: Line through two points and (if desired) Ray and Segment .
Compass tools: Circle with center and radius-distance between 2 points Attach:circendist.jpg Δ
Checking tools: Some fun tools for checking our work ... Angle and Distance
Decoration Tools

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Pencil tools: Point and Intersection point
Staightedge tool: Line through two points and (if desired) Ray and Segment
Compass tools: Circle with center and radius-distance between 2 points Attach:circendis.jpg Δ

Checking tools: Some fun tools for checking our work ... Angle and Distance
Move and Select Tools Attach:move.jpg Δ, Attach:move_dp.jpg Δ, Attach:zoomout.jpg Δ, Attach:zoomin.jpg Δ

Here is a little mathcast (video) explaining this ...

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Compass tools: Circle with center and radius and the function Distance[]
Some fun tools for checking our work ... Angle and Distance

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[ valign=middle]Brief
[]User uses GeoGebra to do pencil, straightedge and compass geometric constructions.
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[]Goal
[]Understanding straightedge and compass constructions
[row]
[row]
[]Strand
[]Measurement and Geometry, Geometry
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[]Standards
[]CA 7.MG.3.1,  CA Geometry 16.0
[row]
[]Keywords
[]geometric, construct, construction, straightedge, compass, ruler, geogebra
[row]
[row]
[]Source
[row]
[]Cost
[]Activity and software is free to use
[row]