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Draw the image that satisfies the following. Parallelogram EFGH is the output of the transformation as defined below. DEFGH = Ro(OABCD) Draw DEFGH. 2 PENCIL 9 H 7 THIN N 6 5 4 J BLACK -2 1 tut 8 7 6 4 3 2 11 1 2 3 4 5 6 -7 -8- 1 7 D A 3 4 5 C 6 B 7 K

Draw the image that satisfies the following. Parallelogram EFGH is the output of the transformation as defined below. DEFGH = Ro(OABCD) Draw DEFGH. 2 PENCIL 9 H 7 THIN N 6 5 4 J BLACK -2 1 tut 8 7 6 4 3 2 11 1 2 3 4 5 6 -7 -8- 1 7 D A 3 4 5 C 6 B 7 K

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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The image displays a graph on a coordinate plane with a parallelogram plotted on it. The grid lines have both x and y axes labeled. The x-axis ranges from -9 to 9, and the y-axis ranges from -9 to 9 as well. The vertices of the parallelogram are labeled as follows: - Point A: located at (4, 4) - Point B: located at (6, 4) - Point C: located at (7, 2) - Point D: located at (5, 2) The parallelogram is slanted, with lines connecting these points to form the shape. The base lines are parallel to each other, as are the side lines, which defines the parallelogram structure. The shape is oriented such that the sides along the x-axis are horizontal, while the other two sides have a diagonal orientation.
Transcribed Image Text:The image displays a graph on a coordinate plane with a parallelogram plotted on it. The grid lines have both x and y axes labeled. The x-axis ranges from -9 to 9, and the y-axis ranges from -9 to 9 as well. The vertices of the parallelogram are labeled as follows: - Point A: located at (4, 4) - Point B: located at (6, 4) - Point C: located at (7, 2) - Point D: located at (5, 2) The parallelogram is slanted, with lines connecting these points to form the shape. The base lines are parallel to each other, as are the side lines, which defines the parallelogram structure. The shape is oriented such that the sides along the x-axis are horizontal, while the other two sides have a diagonal orientation.
**Task: Draw a Parallelogram Using Rotation** For this exercise, you will draw the image that satisfies the following condition. **Problem Statement:** Parallelogram \( EFGH \) is the output of the transformation as defined below. \[ \square EFGH = R_{90^\circ}(ABCD) \] Your task is to draw the parallelogram \( \square EFGH \). **Graph Explanation:** - **Grid:** The graph displayed is a coordinate plane with an x-axis and a y-axis, ranging from -10 to 9 on both axes. - **Figure ABCD:** - **Vertices:** The given parallelogram \( \square ABCD \) is plotted. - `A (4, 3)`, `B (6, 3)`, `C (7, 1)`, `D (5, 1)`. - The figure is highlighted in blue. **Instructions:** 1. Use the geometric transformation of a 90-degree counterclockwise rotation on parallelogram \( ABCD \). 2. Identify and plot the new vertices to form parallelogram \( EFGH \). 3. Ensure accuracy in plotting each vertex, maintaining parallelism and the lengths of \( ABCD \). Use the toolbar on the left for drawing and editing tools, ensuring your figure reflects the transformation applied.
Transcribed Image Text:**Task: Draw a Parallelogram Using Rotation** For this exercise, you will draw the image that satisfies the following condition. **Problem Statement:** Parallelogram \( EFGH \) is the output of the transformation as defined below. \[ \square EFGH = R_{90^\circ}(ABCD) \] Your task is to draw the parallelogram \( \square EFGH \). **Graph Explanation:** - **Grid:** The graph displayed is a coordinate plane with an x-axis and a y-axis, ranging from -10 to 9 on both axes. - **Figure ABCD:** - **Vertices:** The given parallelogram \( \square ABCD \) is plotted. - `A (4, 3)`, `B (6, 3)`, `C (7, 1)`, `D (5, 1)`. - The figure is highlighted in blue. **Instructions:** 1. Use the geometric transformation of a 90-degree counterclockwise rotation on parallelogram \( ABCD \). 2. Identify and plot the new vertices to form parallelogram \( EFGH \). 3. Ensure accuracy in plotting each vertex, maintaining parallelism and the lengths of \( ABCD \). Use the toolbar on the left for drawing and editing tools, ensuring your figure reflects the transformation applied.
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