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Question
- your friend, miya, is having trouble with the lessons on transformations. she sends you an email to ask you for help. her questions are shown below. a. what is a transformation? b. what are the different types of transformations? c. what is an isometry (rigid motion)? d. which transformations are isometries? which transformations are not isometries? write miya an email answering her questions. even though you are talking to a friend, you need to use proper spelling, grammar, complete sentences, etc. do not list her questions and write the answer - you need to write your response in paragraph format. all explanations must be in your own words. knowing the “math definition” is not enough evidence that you understand the concept. write your letter to miya in the space below. (5 points)
A transformation is a general term for changing the position, size, or shape of a geometric figure. There are different types such as translations (sliding), rotations (turning), and reflections (flipping). Isometries are rigid - motion transformations that preserve distance and angle measures. Translations, rotations, and reflections are isometries. Non - isometric transformations change the size or shape of a figure, like dilations (scaling).
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A. A transformation is a general operation on a geometric figure that can change its position, orientation, or size.
B. The different types of transformations include translations (sliding a figure), rotations (turning a figure around a point), reflections (flipping a figure over a line), and dilations (changing the size of a figure). Translations, rotations, and reflections are isometries.
C. An isometry (rigid motion) is a transformation that preserves distance and angle measures. Translations, rotations, and reflections are examples of isometries as they keep the shape and size of the figure intact.
D. Transformations that are not isometries are those that change the size or shape of the figure. For example, dilations are non - isometric as they stretch or shrink the figure.