[icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon]Step 1: On the right side of the applet (or, on the right side of the axes) draw a non-regular, non-symmetric 5+ sided polygon using the Polygon tool. (That is, a polygon with 5 or more sides that doesn't look too neat and tidy!)[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_vector.png[/icon]Step 2: On the left side of the applet (or, on the left side of the axes), draw a vector using the vector tool. [br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_translatebyvector.png[/icon]Step 3: Use GeoGebra's inbuilt "Translate by vector" tool. Be sure to read the tool tips that show up when you select this tool![br][br][icon]/images/ggb/toolbar/mode_move.png[/icon]Step 4: Make changes to the polygon and to the vector to see how those changes affect the translated image.

[icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon]Step 1: Draw a non-regular, non-symmetric 5+ sided polygon using the Polygon tool. (That is, a polygon with 5 or more sides that doesn't look too neat and tidy!)[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon]Step 2: Draw the line of reflection using the line tool.[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_mirroratline.png[/icon]Step 3: Use GeoGebra's inbuilt "Reflect about line" tool, to reflect your polygon.[br][br][icon]/images/ggb/toolbar/mode_move.png[/icon]Step 4: Make changes to the polygon and to the line of reflection to see how those changes affect your reflected image.

[icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon]Step 1: Draw a non-regular, non-symmetric 5+ sided polygon using the Polygon tool. (That is, a polygon with 5 or more sides that doesn't look too neat and tidy!)[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_point.png[/icon]Step 2: Plot a point (NOT ON THE POLYGON) about which you will rotate.[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_slider.png[/icon]Step 3: To mark the angle of rotation, we will use the slider tool. In the menu that pops up, make sure your slider is set to "angle," goes from 0[sup]o[/sup] to 360[sup]o[/sup], with an increment (step size) of 5[sup]o[/sup].[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_rotatebyangle.png[/icon]Step 3: Use GeoGebra's inbuilt "Rotate around point" tool to rotate your polygon. When GeoGebra asks the angle by which to rotate, put in [math]\alpha[/math], which should be the name of your angle, by clicking the Greek menu at the end of the input box.[br][br][icon]/images/ggb/toolbar/mode_move.png[/icon]Step 4: Make changes to the polygon, the point of rotation, and the slider angle to see how those changes affect your rotated image.