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lesson 1 understanding rigid transformations and their properties conti…

Question

lesson 1
understanding rigid transformations and their properties continued
5 figure abcde is reflected across a horizontal line to make an image, figure fgh ij. draw and label figure fgh ij.
6 figure abcde is rotated counter - clockwise around the given center of rotation to make an image, figure fgh ij. draw and label figure fgh ij.
7 can a translation, a reflection, or a rotation of a figure ever result in an image with a different size or shape? explain.

Explanation:

Step1: Recall rigid - transformation properties

Translation, reflection, and rotation are rigid transformations. Rigid transformations preserve the size and shape of a figure.

Step2: Answer the question

Since they preserve size and shape, a translation, reflection, or rotation of a figure will never result in an image with a different size or shape.

Answer:

No. Translation, reflection, and rotation are rigid transformations, which preserve the size and shape of a figure.