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 16 **Quadrilateral \( RSTU \) is graphed on the coordinate grid below.** #### Explanation of the Graph: The coordinate grid displays quadrilateral \( RSTU \), with points labeled as follows: - \( R(3, 6) \): This point is located at the coordinate (3, 6), meaning it is 3 units to the right of the origin on the x-axis and 6 units up on the y-axis. - \( S(5, 2) \): This point is at (5, 2), positioned 5 units right and 2 units up. - \( T(3, -2) \): Located at (3, -2), this point is 3 units right and 2 units down. - \( U(1, 2) \): Positioned at (1, 2), this point is 1 unit right and 2 units up. The quadrilateral forms a diamond shape with its vertices plotted on these points. The lines connecting these points form the sides of the quadrilateral. The graph uses a standard coordinate plane with x and y axes, where each grid square represents a unit of one on both axes.
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Transcribed Image Text:### Question 16 **Quadrilateral \( RSTU \) is graphed on the coordinate grid below.** #### Explanation of the Graph: The coordinate grid displays quadrilateral \( RSTU \), with points labeled as follows: - \( R(3, 6) \): This point is located at the coordinate (3, 6), meaning it is 3 units to the right of the origin on the x-axis and 6 units up on the y-axis. - \( S(5, 2) \): This point is at (5, 2), positioned 5 units right and 2 units up. - \( T(3, -2) \): Located at (3, -2), this point is 3 units right and 2 units down. - \( U(1, 2) \): Positioned at (1, 2), this point is 1 unit right and 2 units up. The quadrilateral forms a diamond shape with its vertices plotted on these points. The lines connecting these points form the sides of the quadrilateral. The graph uses a standard coordinate plane with x and y axes, where each grid square represents a unit of one on both axes.
### Educational Content **Graph Explanation:** The image shows a coordinate plane with an outlined shape, quadrilateral RSTU, and specifically points labeled R, S, T, and U. The point T is explicitly marked at coordinates (3, -2). **Problem Statement:** Quadrilateral \( RSTU \) will be reflected over the y-axis and translated 4 units down. What will be the coordinates of the image of point \( S \) after the transformations? **Answer Choices:** - A) \((-5, -2)\) - B) \( (1, -2) \) - C) \((-1, 2)\) - D) \((-5, 2)\) The task is to determine the new coordinates of point \( S \) after reflecting over the y-axis and translating 4 units down.
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Transcribed Image Text:### Educational Content **Graph Explanation:** The image shows a coordinate plane with an outlined shape, quadrilateral RSTU, and specifically points labeled R, S, T, and U. The point T is explicitly marked at coordinates (3, -2). **Problem Statement:** Quadrilateral \( RSTU \) will be reflected over the y-axis and translated 4 units down. What will be the coordinates of the image of point \( S \) after the transformations? **Answer Choices:** - A) \((-5, -2)\) - B) \( (1, -2) \) - C) \((-1, 2)\) - D) \((-5, 2)\) The task is to determine the new coordinates of point \( S \) after reflecting over the y-axis and translating 4 units down.
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