Differentiate between Transformations

T.i.P.S.

Students must use their knowledge of the different transformations to determine which transformations are always congruent and which are not. Transformations include rotations, reflections, translations, and dilations. Students must understand that rotations, reflections, and translations preserve congruence but dilations do not unless the scale factor is one.

Example

A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence? Justify your thinking.

Hint
Possible Solution

TEKS

Supporting Standard 8.10 Two-dimensional shapes. The student applies mathematical process standards to develop transformational geometry concepts. The student is expected to:

(B) differentiate between transformations that preserve congruence and those that do not 

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