GeoGebra Lab #4: Transformations (F16)
Construction #1: Translations
Follow the instructions provided below to create a GeoGebra applet that translates a polygon.
Instructions
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!)
Step 2: On the left side of the applet (or, on the left side of the axes), draw a vector using the vector tool.
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!
Step 4: Make changes to the polygon and to the vector to see how those changes affect the translated image.Construction #2: Reflections
Follow the instructions provided below to create a GeoGebra applet that reflects a polygon.
Instructions:
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!)
Step 2: Draw the line of reflection using the line tool.
Step 3: Use GeoGebra's inbuilt "Reflect about line" tool, to reflect your polygon.
Step 4: Make changes to the polygon and to the line of reflection to see how those changes affect your reflected image.Construction #3: Rotations
Follow the instructions provided below to create a GeoGebra applet that rotates a polygon.
Instructions
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!)
Step 2: Plot a point (NOT ON THE POLYGON) about which you will rotate.
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 0o to 360o, with an increment (step size) of 5o.
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 , which should be the name of your angle, by clicking the Greek menu at the end of the input box.
Step 4: Make changes to the polygon, the point of rotation, and the slider angle to see how those changes affect your rotated image.