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Name the coordinates of the point that results from the transformations described. 1. Start at (4, 7). Reflect the point across the x-axis. Reflect again across the y-axis. Coordinates: 2.

Name the coordinates of the point that results from the transformations described. 1. Start at (4, 7). Reflect the point across the x-axis. Reflect again across the y-axis. Coordinates: 2.

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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LESSON Distance in the Coordinate Plane 14-1 Name the coordinates of the point that results from the transformations described. 1. Start at (4,7). Reflect the point across the x-axis. Reflect again across the y-axis. Coordinates: ( 2. Start at (-3,-5). Reflect the point across the y-axis. Reflect again across the x-axis. Coordinates: ( If a and b are whole numbers, what is the distance between the two points? Show your work. 3. X(a, b) and Y(a, 5b) 4. C(-3a, 3b) and D(-6a, 3b) Use the graph to answer the questions. 5. Explain why points A and B do not result from reflections of the same point across the x-axis and y-axis, respectively. 6. Show how point B can be reflected across the y-axis so that it bisects the distance between points A and C. 7. What is the shortest distance from point B to the midpoint of the line between points A and C? 14 8. The distance of point A to the x-axis is given by the expression 4a. The distance of the reflection of point A across the x-axis to the y-axis is given by the expression 3b. What is the total distance from point A to its reflection across the x-axis and the y-axis? Explain. B A
Transcribed Image Text:LESSON Distance in the Coordinate Plane 14-1 Name the coordinates of the point that results from the transformations described. 1. Start at (4,7). Reflect the point across the x-axis. Reflect again across the y-axis. Coordinates: ( 2. Start at (-3,-5). Reflect the point across the y-axis. Reflect again across the x-axis. Coordinates: ( If a and b are whole numbers, what is the distance between the two points? Show your work. 3. X(a, b) and Y(a, 5b) 4. C(-3a, 3b) and D(-6a, 3b) Use the graph to answer the questions. 5. Explain why points A and B do not result from reflections of the same point across the x-axis and y-axis, respectively. 6. Show how point B can be reflected across the y-axis so that it bisects the distance between points A and C. 7. What is the shortest distance from point B to the midpoint of the line between points A and C? 14 8. The distance of point A to the x-axis is given by the expression 4a. The distance of the reflection of point A across the x-axis to the y-axis is given by the expression 3b. What is the total distance from point A to its reflection across the x-axis and the y-axis? Explain. B A
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