# GeoGebra Lab #4: Transformations (F16)

- Author:
- Dr. Abigail Brackins

## 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 0 , 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.

^{o}to 360^{o}, with an increment (step size) of 5^{o}. 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