On the applet below, you should see a polygon, the pre-image, Polygon (ABCD). You will attempt to plot the image of Polygon (ABCD), by reflecting it over the y-axis. To reflect a point over the y-axis, you multiply it’s x-coordinate by negative 1, (the yvalue remains the same). That is, A 7,7 , the reflection rule is x, y , then A ' 7,7
A ' 7,7
Your Task (A): Step 0 - Click on the “reset” icon (upper right-hand corner), in the GeoGebra applet. Step 1 – Finish filling out the table by writing the coordinates for the remaining points that make up Polygon (ABCD). Step 2 – Now, apply the reflection (over the y-axis) to these points and calculate the coordinates of the image, Polygon (A’B’C’D’). Step 3 – Plot the coordinates that you just calculated by entering them into the “Input” box. Step 4 – Click on the “Reflect over y-axis” check-box. Then click on the “Reflected Image” check-box to check your work. The “Reflected Image” should plot exactly as yours did. Step 5 – Click on the “reset” icon (upper right-hand corner), move points A, B, C, and D to another location and repeat steps 1 through 4. That will be Task (A2).
NAME: ____________________________
Reflecting Points over the y-axis, Task (A1) Point x-coord y-coord Translation Rule Point x-coord y-coord (pre-image) (image) x, y A B C D 7 7
7,7
A’
7
7
Reflecting Points over the y-axis, Task (A2) Point x-coord y-coord Translation Rule Point x-coord y-coord (pre-image) (image) x, y A B C D A’
On the applet below, you should see a polygon, the pre-image, Polygon (ABCD). Click on the “reset” icon (upper right-hand corner) if necessary. You will attempt to plot the image of Polygon (ABCD), by reflecting it over the x-axis. To reflect a point over the x-axis, you multiply it’s y-coordinate by negative 1, (the xvalue remains the same). That is, A 7,7 , the reflection rule is x, y , then A ' 7, 7
A ' 7, 7
Your Task (B): Step 0 - Click on the “reset” icon (upper right-hand corner), in the GeoGebra applet. Step 1 – Finish filling out the table by writing the coordinates for the remaining points that make up Polygon (ABCD). Step 2 – Now, apply the reflection (over the x-axis) to these points and calculate the coordinates of the image, Polygon (A’B’C’D’). Step 3 – Plot the coordinates that you just calculated by entering them into the “Input” box. Step 4 – Click on the “Reflect over x-axis” check-box. Then click on the “Reflected Image” check-box to check your work. The “Reflected Image” should plot exactly as yours did. Step 5 – Click on the “reset” icon (upper right-hand corner), move points A, B, C, and D to another location and repeat steps 1 through 4. That will be Task (B2).
NAME: ____________________________
Reflecting Points over the x-axis, Task (B1) Point x-coord y-coord Translation Rule Point x-coord y-coord (pre-image) (image) x, y A B C D 7 7
7, 7
A’
7
7
Reflecting Points over the x-axis, Task (B2) Point x-coord y-coord Translation Rule Point x-coord y-coord (pre-image) (image) x, y A B C D A’