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5 Example #1: Identify Rigid Motions A rigid motion is a transformation that preserves length and angle measure. Is the transformation a rigid motion? Explain. Although angle measure is preserved, the image is smaller than the preimage, so the transformation involves a change in length. preimage image The corresponding side lengths are not the same. The transformation is not a rigid motion because the length is not preserved. You Try! Is each transformation a rigid motion? Explain

5 Example #1: Identify Rigid Motions A rigid motion is a transformation that preserves length and angle measure. Is the transformation a rigid motion? Explain. Although angle measure is preserved, the image is smaller than the preimage, so the transformation involves a change in length. preimage image The corresponding side lengths are not the same. The transformation is not a rigid motion because the length is not preserved. You Try! Is each transformation a rigid motion? Explain

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Example #1: Identify Rigid Motions** A **rigid motion** is a transformation that preserves length and angle measure. Is the transformation a rigid motion? Explain. Although angle measure is preserved, the image is smaller than the preimage, so the transformation involves a change in length. The transformation is not a rigid motion because the length is not preserved. *You Try!* Is each transformation a rigid motion? Explain. **Diagram Explanation:** On the right side, there are two triangles. The larger "preimage" triangle is shown in black, and the smaller "image" triangle is shown in red. An arrow connects the two, and a label states: "The corresponding side lengths are not the same." This indicates that the size has changed, illustrating why the transformation is not a rigid motion.
Transcribed Image Text:**Example #1: Identify Rigid Motions** A **rigid motion** is a transformation that preserves length and angle measure. Is the transformation a rigid motion? Explain. Although angle measure is preserved, the image is smaller than the preimage, so the transformation involves a change in length. The transformation is not a rigid motion because the length is not preserved. *You Try!* Is each transformation a rigid motion? Explain. **Diagram Explanation:** On the right side, there are two triangles. The larger "preimage" triangle is shown in black, and the smaller "image" triangle is shown in red. An arrow connects the two, and a label states: "The corresponding side lengths are not the same." This indicates that the size has changed, illustrating why the transformation is not a rigid motion.
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