BPW Inv 4.1A - Focus on Dilations

Part A
[list=1][*]It may be helpful to review the [color=#38761d][url=https://www.geogebra.org/m/NUtDnGgC#material/DxpuzwjE]Geogebra Dilations tool[/url][/color][/*][*]If you have been assign a book, open [color=#1c4587][url=https://media.pk12ls.com/curriculum/math/cmp3/html_books/G8/U5/htmls/page_77.html]Butterflies, Pinwheels and Wallpaper book to Inv. 4.1 on page 77[/url][/color][/*][*]Use [b]Geogebra[/b] to create the dilation instructed in Part A at the top of page 77[br][/*][*][i]Use the [icon]/images/ggb/toolbar/mode_angle.png[/icon] to find the [b]area tool [icon]/images/ggb/toolbar/mode_area.png[/icon],[/b] [b]angle tool[/b] [icon]/images/ggb/toolbar/mode_angle.png[/icon], and [b]length tool[/b] [icon]/images/ggb/toolbar/mode_distance.png[/icon]to measure each area, all lengths and all angles of the given [color=#cc0000]red polygon[/color]. [/i][/*][*]Then use the polygon tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon] and connect each point in order P-S-Q-R-P, this will highlight your shape.[/*][*][i]Use the dilation tool [icon]/images/ggb/toolbar/mode_dilatefrompoint.png[/icon] (found under the transformations tab[icon]/images/ggb/toolbar/mode_mirroratline.png[/icon]) to dilate your polygon. Click the center of your polygon, then the origin (0,0) and use scale factor of 3.[/i][/*][*][i]Use the [icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon] to find the [b]area tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_area.png[/icon],[/b] [b]angle tool[/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon], and [b]length tool[/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_distance.png[/icon]to measure each area, all lengths and all angles of the polygon. [/i][/*][*][i][b]S[/b][/i][b]creenshot the completed dilation with all measured parts into your Google Doc[/b].[/*][/list][br][b]Copy, paste and answer the questions below into your Google Doc.[/b][br][list][/list][list=1][*]How do the side lengths of quadrilateral [i]P[/i]′[i]Q[/i]′[i]R[/i]′[i]S[/i]′ compare to those of quadrilateral [i]PQRS[/i]?[/*][*]How do the angle measures of quadrilateral [i]P[/i]′[i]Q[/i]′[i]R[/i]′[i]S[/i]′ compare to those of quadrilateral [i]PQRS[/i]?[/*][*]How does the perimeter of quadrilateral [i]P[/i]′[i]Q[/i]′[i]R[/i]′[i]S[/i]′ compare to that of quadrilateral [i]PQRS[/i]?[/*][*]How does the area of quadrilateral [i]P[/i]′[i]Q[/i]′[i]R[/i]′[i]S[/i]′ compare to that of quadrilateral [i]PQRS[/i]?[/*][*]How do the slopes of the sides of quadrilateral [i]P[/i]′[i]Q[/i]′[i]R[/i]′[i]S[/i]′ compare to the slopes of the sides of quadrilateral [i]PQRS[/i]?[/*][*]What rule of the form ([i]x[/i], [i]y[/i]) → ([img]https://media.pk12ls.com/curriculum/math/cmp3/html_books/G8/U5/htmls/images/thruout/box.jpg[/img], [img]https://media.pk12ls.com/curriculum/math/cmp3/html_books/G8/U5/htmls/images/thruout/box.jpg[/img]) shows how coordinates of corresponding points are related under a dilation with center (0, 0) and scale factor 3?[/*][/list][list][/list][list][/list][list][/list][list][/list][list][/list][list][*][b][br][/b][/*][/list]

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