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Common Core For Geometry
Student Outcomes
Properties of Similarity Transformations
Classwork
Example 1
Similarity transformation πΊ consists of a rotation about the point π by 90Β°, followed by a dilation centered at π with a scale factor of π = 2, and then followed by a reflection across line β. Find the image of the triangle.
Example 2
A similarity transformation πΊ applied to trapezoid π΄π΅πΆπ· consists of a translation by vector ππ, followed by a reflection across line π, and then followed by a dilation centered at π with a scale factor of π = 2. Recall that we can describe the same sequence using the following notation: π·π,2 (ππ(πππ(π΄π΅πΆπ·))). Find the image of π΄π΅πΆπ·
Exercise 1
A similarity transformation for triangle π·πΈπΉ is described by ππ (π·π΄,1/2(π π΄,90Β°(π·πΈπΉ))). Locate and label the image of triangle π·πΈπΉ under the similarity.
Lesson Summary
Properties of similarity transformations:
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