INVESTIGATION OF GLIDE REFLECTIONS NAME(S) IN THIS ACTIVITY

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Introduction of Points, Segments,

Investigation of Glide Reflections Name(s): _____________________


In this activity you will investigate glide reflections. A glide reflection is a combination of two transformations.

Steps:


  1. In a new sketch highlight the Segment tool and construct a polygon.

  2. HINVESTIGATION OF GLIDE REFLECTIONS NAME(S)  IN THIS ACTIVITY ighlight the Select Arrow and select each point around your polygon. In the Construct menu choose Polygon Interior.

  3. Highlight the Segment tool again and construct a segment. Select the segment with the Select Arrow and in the Construct menu choose Point on Object. Label the points using the Text tool from A to C, so that point B is in the middle of A and B. See diagram on you right for length of segment AC and where B should lie.

  4. Select your segment as a mirror by selecting segment AC and in the Transform menu choose Mark Mirror.

  5. Select the polygon interior and in the Transform menu choose Reflect.

  6. Highlight the Select Arrow tool and select points A and then B. When selected in order, in the Transform menu choose Mark Vector.

  7. Select the image (the reflected polygon). In the Transform menu, choose Translate, and choose By Marked Vector. Click on OK.

  8. Drag your original polygon or point B and notice how the images are affected.


What two transformations are used in a glide reflection?

__________________ / __________________


  1. To accomplish the above in one transformation select the reflected polygon, the first image. In the Display menu choose Hide Polygon. Therefore, just the original polygon (the preimage) and the glide-reflected polygon (the final image) remain.

  2. Select your preimage and final image. In the Transform menu choose Define Transform. Type in Glide Reflection and click on Define.

  3. With the Select Arrow select the final image and hide it as you did in step nine.

  4. Select the polygon interior of the preimage. In the Transform menu choose Glide Reflection. Select the new image and in the Transform menu choose Glide Reflection again. Repeat to construct more glide-reflected images.

  5. Have some fun. In a new sketch create your own custom transformation. Have two copies, one that shows all the stages of the transformation and other that only shows the preimage and the final image.


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Tags: activity you, reflections, investigation, glide, name(s), activity