Friday, September 28, 2012
9/28/12 Math Journal
What have you learned thus far about similarity versus congruence? How do transformations that result in congruent images differ from transformations that result in similar images? What strategies can be used to trace the sequence of transformations, and how can the information you obtain from the sequence help you to prove if the original and final images are congruent or similar?
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I have learned that congruent figures have the same shape and size while similar figures have the same shape but a different size. In other words, when a figure changes size while the shape remains the same, dilation takes affect. Congruent images transform by either sliding, rotating, or reflecting; Similar images either expand or retract in size. A strategy you can use to trace the sequence of transformations is checking the coordinates. By checking the coordinates, you can identify if the figure was transformed either by a rotation, reflection, slide, or a dilation. This strategy will help you prove if the original images are congruent or similar by showing you the process of what happened. If the figure increases or decreases in size, it's similar but if it keeps the same size and shape, it's congruent.
ReplyDeleteFantastic response Daniel. I like that you have learned to look for the pattern or change in the coordinates to trace the sequence. This is a helpful skill to have especially when you do not have the images to help you trace the sequence of the images.
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