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Which of the following transformations are not congruent? A Image Preimage

Which of the following transformations are not congruent? A Image Preimage

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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**Which of the following transformations are not congruent?** - **Option A** - Diagram Explanation: In the diagram labeled "A," there is a red quadrilateral labeled "Image" and a blue quadrilateral labeled "Preimage." An arrow indicates a rotation transformation between the preimage and image. - **Option B** - Diagram Explanation: In the diagram labeled "B," there is a blue quadrilateral labeled "Preimage" and a red quadrilateral labeled "Image." An arrow indicates a translation transformation from the preimage to the image. **Note:** Congruent transformations include rotation, translation, and reflection, and they preserve the size and shape of the figures. Non-congruent transformations, such as resizing (dilation), alter the size of the figures.
Transcribed Image Text:**Which of the following transformations are not congruent?** - **Option A** - Diagram Explanation: In the diagram labeled "A," there is a red quadrilateral labeled "Image" and a blue quadrilateral labeled "Preimage." An arrow indicates a rotation transformation between the preimage and image. - **Option B** - Diagram Explanation: In the diagram labeled "B," there is a blue quadrilateral labeled "Preimage" and a red quadrilateral labeled "Image." An arrow indicates a translation transformation from the preimage to the image. **Note:** Congruent transformations include rotation, translation, and reflection, and they preserve the size and shape of the figures. Non-congruent transformations, such as resizing (dilation), alter the size of the figures.
### Image Explanation The image contains two diagrams labeled C and D, each demonstrating a geometric transformation. #### Diagram C: - **Preimage:** A blue quadrilateral on the left. - **Image:** A red quadrilateral on the right. - **Description:** This diagram shows a transformation where a quadrilateral (preimage) is mapped to another quadrilateral (image). An arrow indicates the transformation direction from preimage to image. #### Diagram D: - **Preimage:** A red triangle on the right. - **Image:** A blue triangle on the left. - **Description:** This diagram illustrates a transformation where a triangle (preimage) is mapped to a different triangle (image). An arrow indicates the direction of the transformation from preimage to image.
Transcribed Image Text:### Image Explanation The image contains two diagrams labeled C and D, each demonstrating a geometric transformation. #### Diagram C: - **Preimage:** A blue quadrilateral on the left. - **Image:** A red quadrilateral on the right. - **Description:** This diagram shows a transformation where a quadrilateral (preimage) is mapped to another quadrilateral (image). An arrow indicates the transformation direction from preimage to image. #### Diagram D: - **Preimage:** A red triangle on the right. - **Image:** A blue triangle on the left. - **Description:** This diagram illustrates a transformation where a triangle (preimage) is mapped to a different triangle (image). An arrow indicates the direction of the transformation from preimage to image.
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