-5 Figure 7 ५ F A 5 -5 E B D C 5 X

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
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2.If you rotate the figure 90 degrees counter-clockwise about the origin, what are the coordinates of B'?


The second one was not correct though. You need to rotate the figure 90 degrees counter clockwise around the origin. There is a trick for this. All you have to do is switch the x and y coordinates, then make the x one the opposite sign. For example, if I have (3,-2) I would switch them (-2,3) then make the first one the opposite sign (2,3). Now try this with point B

3. If you reflect the figure over the x-axis, what is the new coordinate of E'? Make sure you include a drawing of the translation on a graphing grid.


For the third one, since we are reflecting over the x-axis, we just need to make the y axis be the opposite sign. Can you send me what you think the coordinates are? 

The image shows a coordinate plane with a step-like geometric figure detailed on it. The coordinate plane includes both the x-axis and y-axis marked at intervals of 5 up to -5 and 5 respectively. 

The figure is described as follows:

- Line segment AF extends vertically from A(-5, -5) to F(-5, 5).
- Line segment FE runs horizontally from F(-5, 5) to E(-1, 5).
- Line segment ED drops vertically from E(-1, 5) to D(-1, 1).
- Line segment DC runs horizontally from D(-1, 1) to C(3, 1).
- Line segment CB falls vertically from C(3, 1) to B(3, -3).
- Line segment BA runs horizontally from B(3, -3) to A(-5, -5), closing the shape.

The figure represents an irregular polygon aligned along the grid lines, and it is labeled as "Figure 7" in blue. The grid enhances the visualization, allowing easy reading of the coordinates for each point.
Transcribed Image Text:The image shows a coordinate plane with a step-like geometric figure detailed on it. The coordinate plane includes both the x-axis and y-axis marked at intervals of 5 up to -5 and 5 respectively. The figure is described as follows: - Line segment AF extends vertically from A(-5, -5) to F(-5, 5). - Line segment FE runs horizontally from F(-5, 5) to E(-1, 5). - Line segment ED drops vertically from E(-1, 5) to D(-1, 1). - Line segment DC runs horizontally from D(-1, 1) to C(3, 1). - Line segment CB falls vertically from C(3, 1) to B(3, -3). - Line segment BA runs horizontally from B(3, -3) to A(-5, -5), closing the shape. The figure represents an irregular polygon aligned along the grid lines, and it is labeled as "Figure 7" in blue. The grid enhances the visualization, allowing easy reading of the coordinates for each point.
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