Rotation

Rotation.

The rotation is a transformation that moves a point in geometry by turning the point of the center point.

1.     Open Program Wingeom

2.     Draw a triangle of ABC at kuadran 1 and then typing a point of D at center point axis

3.     Click transform > rotate , type ABC at vertice

4.     Rotate the triangle of ABC, for example such that point center of D. then type D at using center. Typing the size of rotate angle 90, then the triangle of ABC will be moves as far as 90 such that point center.

5.     The triangle ABC and A’B’C’ are congruent. Look the different at the point.

Reflection

Reflection is a transformation that moves a point on the plane by using the properties of the object and its shadow on a flat mirror.

Reflection by using program wingeom 

1.     Open Program wingeom 2Dim

2.     Make a reflect line. For example AB are line y = x, there is a triangle at the right line AB.

Look at the picture below:

3.     Click transform > mirror, typing CDE at vertice, then look at AB display at the box of mirror, click draw. The shadow of triangle CDE will be come that is C’D’E’

4.     Draw CC’ with click left on your cursor at the segment mode, then click right on your cursor for make a label f at CC’ and AB. it’s mark reflection properties that the distance of object equals the distance of mirror to shadow. They are perpendicular between CC’ and the line of AB.

5.     The triangle of CDE and C’D’E’ are congruent surely, look different at the naming of  point direction .

TRANSLATION

Defintion : 

Translation is a transformation that moves each point on the field with a certain distance and direction. Distance and direction can be represented by a directed line segment or a pair of numbers matrices of a and b.

Step by step how to translation by using the wingeom :

      Open Program Wingeom 2dim

      Make a triangle of ABC and draw a segment of vector DE by using component. 
For example:

      Firstly click point on your right cursor on the A and B.
      Second click line at menu and then choose segment.
      You can see the picture below :

 

The third you draw a triangle at first kuadran.

And then click Transform > Translate, typing CDE at vertices, empty the box of by the multiple > typing AB at vector.

The triangle CDE move as far as matrices 2 and 3. its move to right horizontal as far as 2 and move to up vertical as far as 3 so the triangle C’D’E’ and triangle CDE are congruent. You can look different at the point.

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Basic Introduction about WINGEOM

Submenu on Menu Windows

Submenu	Functions
2-dim	Open wingeom program for two dimensial geometry
3-dim	Open wingeom program for three dimensial geometry
Hyperbolic	Open wingeom program for hyperbolic geometry.
Sperical	Open wingeom program for sphere geometry.
Voronai	Open wingeom program for voronai diagram.
Guess	Open wingeom program to prediction transformation that about triangle.
Tesselation	Opens Wingeom program to display all sorts of shapes tiling two-dimensional geometry.
RGB demo	Open Wingeom program for simulating color mixing.
Open last	Opening recently opened files when the program is run again.
Use defaults	Restoring display factory settings.
Exit	Exit the program Wingeom.