Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question

Match each image to the correct scale factor if a dilation exists.

### Image 3: The image contains a coordinate grid with two geometric shapes: 1. **Blue Rectangle**: - Located in the first quadrant. - Vertices are labeled as A, B, C, and D. - A is at the origin (0,0). - B is directly to the right of A along the x-axis. - D is directly above A along the y-axis. - C is diagonally opposite to A and located at the farthest top-right corner of the rectangle. 2. **Red Triangle**: - Located mostly in the first quadrant, with a small part extending into the fourth quadrant. - Vertices are labeled as P, Q, and R. - P is at (4,0) on the x-axis. - Q looks to be at (6,0), slightly to the right of P. - R is above P at a point higher on the y-axis than Q on the x-axis, giving it a vertical alignment above the x-axis line between P and Q. ### Image 4: The image contains a coordinate grid with two geometric shapes: 1. **Purple Square**: - Centered at the origin (0,0). - Vertices are labeled as A, B, C, and D. - Surrounds the origin symmetrically, with equal distance extending into all four quadrants. 2. **Blue Square**: - Surrounds the purple square. - Larger in size and aligned with the grid. - Vertices are labeled as E, F, G, and H. - Each vertex is located at a point that is farther from the origin compared to the corresponding vertex of the purple square. The diagram illustrates the concept of similar geometric shapes and their positions relative to the coordinate axes.
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Transcribed Image Text:### Image 3: The image contains a coordinate grid with two geometric shapes: 1. **Blue Rectangle**: - Located in the first quadrant. - Vertices are labeled as A, B, C, and D. - A is at the origin (0,0). - B is directly to the right of A along the x-axis. - D is directly above A along the y-axis. - C is diagonally opposite to A and located at the farthest top-right corner of the rectangle. 2. **Red Triangle**: - Located mostly in the first quadrant, with a small part extending into the fourth quadrant. - Vertices are labeled as P, Q, and R. - P is at (4,0) on the x-axis. - Q looks to be at (6,0), slightly to the right of P. - R is above P at a point higher on the y-axis than Q on the x-axis, giving it a vertical alignment above the x-axis line between P and Q. ### Image 4: The image contains a coordinate grid with two geometric shapes: 1. **Purple Square**: - Centered at the origin (0,0). - Vertices are labeled as A, B, C, and D. - Surrounds the origin symmetrically, with equal distance extending into all four quadrants. 2. **Blue Square**: - Surrounds the purple square. - Larger in size and aligned with the grid. - Vertices are labeled as E, F, G, and H. - Each vertex is located at a point that is farther from the origin compared to the corresponding vertex of the purple square. The diagram illustrates the concept of similar geometric shapes and their positions relative to the coordinate axes.
**Worksheet: Understanding Dilations** **Instruction 4:** Match each image to the correct scale factor if a dilation exists. --- ### Image 1: Line Segment Dilation - **Description:** The coordinate plane shows two line segments. The "Pre-image" is a larger, diagonal line segment located in Quadrant IV. The "Image" is a smaller, diagonal line segment positioned in Quadrant II, appearing to be a scaled-down version of the pre-image. ### Image 2: Triangle Dilation - **Description:** The coordinate plane depicts two triangles. The "Pre-image," a larger purple triangle labeled A, B, and C, is located in Quadrant II. The "Image," a smaller red triangle labeled A', B', and C', is in Quadrant I, appearing to be a scaled-down version of the pre-image. --- **Answer Choices:** a. scale factor equal to 1 b. not an example of a dilation c. scale factor greater than 1 d. scale factor less than 1 *End of Worksheet*
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Transcribed Image Text:**Worksheet: Understanding Dilations** **Instruction 4:** Match each image to the correct scale factor if a dilation exists. --- ### Image 1: Line Segment Dilation - **Description:** The coordinate plane shows two line segments. The "Pre-image" is a larger, diagonal line segment located in Quadrant IV. The "Image" is a smaller, diagonal line segment positioned in Quadrant II, appearing to be a scaled-down version of the pre-image. ### Image 2: Triangle Dilation - **Description:** The coordinate plane depicts two triangles. The "Pre-image," a larger purple triangle labeled A, B, and C, is located in Quadrant II. The "Image," a smaller red triangle labeled A', B', and C', is in Quadrant I, appearing to be a scaled-down version of the pre-image. --- **Answer Choices:** a. scale factor equal to 1 b. not an example of a dilation c. scale factor greater than 1 d. scale factor less than 1 *End of Worksheet*
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