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Question
fluency and skills practice lesson 1 understanding rigid transformations and their properties continued 5 figure abcde is reflected across a horizontal line to make an image, figure fghij. draw and label figure fghij. 6 figure abcde is rotated counter - clockwise around the given center of rotation to make an image, figure fghij. draw and label figure fghij. 7 can a translation, a reflection, or a rotation of a figure ever result in an image with a different size or shape? explain.
Step1: Recall rigid - transformation properties
Rigid transformations (translations, reflections, rotations) preserve shape and size.
Step2: Answer question 7
No, because these transformations only change the position or orientation of a figure, not its size or shape.
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No, a translation, a reflection, or a rotation of a figure will never result in an image with a different size or shape because these are rigid transformations which preserve the distance between points, thus maintaining the shape and size of the original figure.