Copying a Segment

Move the cursor slider to the right by interval 1 to copy segment AB. Can you see why AB is congruent to CD? Justify your answer.

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The construction above is a simulation of the compass and straightedge construction on how to copy a line segment.

Constructing congruent triangles

Move the slider to the right one step at a time and observe what happens.

1.) After the construction, move any of the vertices of triangle ABC. What do you observe?
2.) How is the construction similar to the manual compass and straightedge construction?
3.) Which of the congruence postulates of triangles does the construction show?

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The construction above is a simulation of constructing a triangle congruent to a given triangle using compass and straightedge.

Download GGB file at GeoGebraTube.

Constructing an Equilateral Triangle

Move the Step slider to the right to perform construction an equilateral triangle.

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Download GGB File