Use the demos below to check your work in Homework #9.
For the first one (linked here and shown below), reflect quadrilateral A'B'C'D' across line m. What do you notice about its image and quadrilateral ABCD?
Now use the demo (linked here and shown below), to reflect quadrilateral A'B'C'D' across line m. What do you notice about its image and quadrilateral ABCD?
Use the demo linked here and below to find parallel lines l and m such that the reflection of quadrilateral ABCD over line l followed by the reflection of its image over line m is quadrilateral A''B''C''D''. Are the lines unique? Why or why not?
Use the demo linked here and below to find intersecting lines l and m such that the reflection of quadrilateral ABCD over line l followed by the reflection of its image over line m is quadrilateral A''B''C''D''. Are the lines unique? Why or why not?
What is a rotation? Use the rotation tool below and linked here to rotate point A about center O by various angle measures. Then use other tools to draw the image of A and come up with a definition (which doesn't involve using GeoGebra's rotation tool).
Use the same GeoGebra canvas to experiment with translations and answer the question: What is a translation?