## Reflection: Intrinsic Motivation Transformations Review - Section 4: Unit Review Problem Set

In the last question on the review, students create compositions of transformations that will produce the given image. I have included an additional challenge where students look for compositions of only reflections to produce the image.  This extension was suggested to me by a college professor who stated that there is a minimum of three reflections required.  In class, one young man found a solution involving four reflections, and several students were able to do it with five. As the students left my classroom, I heard them declaring that they would continue to work on it over the weekend - pretty awesome!

Postscript:

I have worked on this myself now. In order to find the three line reflections, one needs to construct three perpendicular bisectors, using the corresponding vertices of the triangles. I have done this using a compass and straightedge and it does do the trick, mapping one triangle onto the other, but finding the equations of these lines is not an easy task by any means, and is beyond anything I would ask my students to do at this point in time.

Intrinsic Motivation: An Extension on Problem 10

# Transformations Review

Unit 4: Transformations
Lesson 5 of 6

## Big Idea: Time for the unit review and pulling all of the concepts together!

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4 teachers like this lesson
Standards:
Subject(s):
Math, Geometry, Symmetry, line, Constructions and Transformations, translations, dilation, reflection, transformation, horizontal, vertical, isometry, glide reflection, point symmetry, rotations, line of reflection, quadrant
90 minutes

### Beth Menzie

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