Reflections over Parallel Lines: Direction Parte Troisxqrthyy
- Author:
- Bob Allen
- Topic:
- Reflection
We've explored reflections, rotations, and translations. Now we're going to go a bit more basic and work only with reflections.
You will be exploring what happens to a figure when reflected over two parallel lines. Specifically, you'll be exploring how you can describe the direction of travel between the presage and the final image.
REMEMBER: Mistakes are a good thing. No one, and I mean no one, gets every construction right on the first try. This isn't brain surgery. Nothing will crash if you make a mistake. And starting over is sometimes the best way to go. So there's the do over symbol in the upper right hand corner.
Instructions for the first set of reflections.
1. Using the Reflect about Line tool, reflect ABC over line f.
2. Using the Reflect about Line tool, reflect A'B'C' over line g.
Instructions for the second set of reflections.
1. Using the Reflect about Line tool, reflect ABC over line g.
2. Using the Reflect about Line tool, reflect A'B'C' over line f.
Do the following to BOTH sketches and answer the question
1. Create line AA'' in both sketches. Your line AA'' needs to intersect lines f and g. 2. Create the points of intersection between AA'' and lines f and g. 3. Measure the angles formed by AA'' and lines f and g. What is the measurement of the angles you created?
Conjecturing
Compare the preimage (ABC) and the last image (A''B''C''). Does it look like any of the transformations (translation, rotation, reflection) that we have studied? Describe the movement from the preimage to the last image. What direction does it travel? Hint: AA'' will help with this.
Press the Turn In button ONCE and then wait patiently for a few moments. If nothing seems to happen, or if you do not have a Turn In button, call for me.