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Creating and Understanding Similar Figures using Geometer's Sketch Pad
Simpson, Samuel
Simpson, Samuel
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2006-08-01
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Goals:
To review locating points in a coordinate system
To predict how figures on a coordinate system are affected by a given rule
To learn that corresponding angles of similar figures are equal and that corresponding sides grow by the same factor
To compare lengths and angles in similar and non-similar figures informally
To experiment with examples and counterexamples of similar shapes
To understand that any two similar figures are related by a scale factor, which is the ratio of the corresponding sides
To understand that the sides and perimeters of similar figures grow by a scale factor and that the areas grow by the square of the scale factor
To recognize that triangles with equal corresponding angles are similar
To use the definition of similarity to recognize when figures are similar
To determine the scale factor between two similar figures
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Questions, comments or suggestions about this model may be sent to Dr. Leigh Little, llittle@brockport.edu, The College at Brockport.