BPW Inv 1.1 - Line Reflections
In your [b]BPW book or [url=https://media.pk12ls.com/curriculum/math/cmp3/html_books/G8/U5/htmls/page_9.html]BPW online book link[/url][/b], open to Inv 1.1 (pg 10) and use Geogebra to answer the Part A questions 1 - 4 for pentagon [i]ABCDE after making[/i] image, [i]A[/i]′[i]B[/i]′[i]C[/i]′[i]D[/i]′[i]E[/i]′, and the line of reflection line AE.[br][list=1][*]Use the [b]Line [/b]tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon] to create [i]line Line AE.[/i][/*][*]Reflect the polygon over the line AE using the [b]reflection tool [icon]/images/ggb/toolbar/mode_mirroratline.png[/icon][/b].[/*][*]Use the [b]Segment [/b]tool [icon]/images/ggb/toolbar/mode_segment.png[/icon] to draw segments connecting each vertex of pentagon [i]ABCDE[/i] to its image on pentagon [i]A[/i]′[i]B[/i]′[i]C[/i]′[i]D[/i]′[i]E[/i]′[/*][*] Use the [b]intersect [/b]tool [icon]/images/ggb/toolbar/mode_intersect.png[/icon] to show intersection point of segments you drew in step three and line AE.(go to [icon]/images/ggb/toolbar/mode_point.png[/icon] and in dropdown menu find [icon]/images/ggb/toolbar/mode_intersect.png[/icon])[br][/*][*]Measure lengths of A to intersection point and A' to intersection point using [icon]/images/ggb/toolbar/mode_distance.png[/icon] (under [icon]/images/ggb/toolbar/mode_angle.png[/icon] dropdown menu) and angles [icon]/images/ggb/toolbar/mode_angle.png[/icon] (click on three points you want to measure.[/*][/list][b]In your Google doc: [/b]copy, paste and answer each of the following questions:[br][left][/left][list][*] How are measures of the line of reflection AE and lines between all points and their image (A and A') related?[/*][*]How are the distances of a line from point to line of reflection and image to line of reflection ?[/*][*]Which points are in the same location as their image under this reflection?[/*][/list]
BPW Inv 2.1 - Connecting Congruent Polygons
Open [url=https://media.pk12ls.com/curriculum/math/cmp3/html_books/G8/U5/htmls/page_33.html]BPW online book[/url] [br][br][u]Answer this prompt in your google doc:[/u][br][br]If you think Polygon ABCD is congruent to Polygon PQRS explain the transformations you can use to match them up and which points correspond… Screen shot your transformed image and post in your Google doc.[br][list=1][*]Example statement: I translated point A to point P because they are corresponding, then reflected the shape over line AD which I drew[/*][*]Example of corresponding points: point A corresponds to point P, point B corresponds to point G...etc[/*][/list][br]
Screenshot your transformation(s) [b]into your Google Doc.[br][/b]Then, write the answer to all Parts A,B,C,D [i][b]in your Google Doc.[/b][/i]
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]