BPW Inv 4.1C - Focus on Dilations

If you have been assigned a book, open your Butterflies, Pinwheels and Wallpaper book, do the dilation instructed on[color=#38761d] [url=https://media.pk12ls.com/curriculum/math/cmp3/html_books/G8/U5/htmls/page_78.html]Inv 4.1 Part C on p. 78[/url][/color][br][list=1][*][i]Use the [icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon] to find the following tools: area tool[icon]https://www.geogebra.org/images/ggb/toolbar/mode_area.png[/icon] , angle tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon] , and length tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_distance.png[/icon]to measure the area, all lengths and all angles of [color=#1155cc]blue polygon RAPS[/color]. [/i][/*][*]Then use the polygon tool[icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon] to connect each point in order R-A-P-S-R, this will highlight your shape.[/*][*][i]Use the dilation tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_dilatefrompoint.png[/icon] (found under the transformations tab [icon]https://www.geogebra.org/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 0.5 (or 1/2).[/i][/*][*][i]Use the [i][icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon][/i] to find the area tool [i][icon]https://www.geogebra.org/images/ggb/toolbar/mode_area.png[/icon][/i] , angle tool [i][i][icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon][/i][/i], and length tool [i][icon]https://www.geogebra.org/images/ggb/toolbar/mode_distance.png[/icon][/i] to measure each area, all lengths and all angles of the new scaled polygon. [/i][/*][*][b]Screenshot[/b] your shape and its image in your Google Doc [i]after completing all measurements. [/i][/*][/list]Answer all these questions from Part C[b] in your Google Doc.[/b][br][list=1][*]How do the side lengths of quadrilateral[i][b] R'A'P'S'[/b][/i] compare to those of quadrilateral [i][b]RAPS[/b][/i]?[/*][*]How do the angle measures of quadrilateral [i][/i][i][/i][i][b]R'A'P'S'[/b][/i] compare to those of quadrilateral [i][/i][i][b]RAPS[/b][/i]?[/*][*]How does the perimeter of quadrilateral [i][/i][i][/i][i][b]R'A'P'S'[/b][/i] compare to that of quadrilateral [i][/i][i][/i][i][b]RAPS[/b][/i]?[/*][*]How does the area of quadrilateral [i][/i][i][/i][i][b]R'A'P'S'[/b][/i] compare to that of quadrilateral [i][i][i][b]RAPS[/b][/i][/i][/i]?[/*][*]How do the slopes of the sides of quadrilateral [i][/i][i][/i][i][b]R'A'P'S'[/b][/i] compare to the slopes of the sides of quadrilateral [i][i][i][b]RAPS[/b][/i][/i][/i]?[/*][*]What rule of the form ([i]x, 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 12?[/*][/list]

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