{"id":549,"date":"2016-12-28T15:31:25","date_gmt":"2016-12-28T23:31:25","guid":{"rendered":"http:\/\/mlc.sdsu.edu\/?page_id=549"},"modified":"2016-12-30T15:50:06","modified_gmt":"2016-12-30T23:50:06","slug":"dynamicapplets","status":"publish","type":"page","link":"https:\/\/mslc.sdsu.edu\/home\/dynamicapplets\/","title":{"rendered":"Quadrilaterals"},"content":{"rendered":"<p>[et_pb_section admin_label=&#8221;Section&#8221; transparent_background=&#8221;off&#8221; allow_player_pause=&#8221;off&#8221; inner_shadow=&#8221;off&#8221; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221; padding_mobile=&#8221;off&#8221; make_fullwidth=&#8221;off&#8221; use_custom_width=&#8221;off&#8221; width_unit=&#8221;off&#8221; custom_width_px=&#8221;1080px&#8221; custom_width_percent=&#8221;80%&#8221; make_equal=&#8221;off&#8221; use_custom_gutter=&#8221;off&#8221; fullwidth=&#8221;off&#8221; specialty=&#8221;off&#8221; disabled=&#8221;off&#8221;][et_pb_row admin_label=&#8221;Row&#8221; make_fullwidth=&#8221;off&#8221; use_custom_width=&#8221;off&#8221; width_unit=&#8221;off&#8221; custom_width_px=&#8221;1080px&#8221; custom_width_percent=&#8221;80%&#8221; use_custom_gutter=&#8221;off&#8221; gutter_width=&#8221;2&#8243; padding_mobile=&#8221;off&#8221; allow_player_pause=&#8221;off&#8221; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221; make_equal=&#8221;off&#8221; column_padding_mobile=&#8221;on&#8221; parallax_1=&#8221;off&#8221; parallax_method_1=&#8221;on&#8221; parallax_2=&#8221;off&#8221; parallax_method_2=&#8221;on&#8221; parallax_3=&#8221;off&#8221; parallax_method_3=&#8221;on&#8221; parallax_4=&#8221;off&#8221; parallax_method_4=&#8221;on&#8221; disabled=&#8221;off&#8221;][et_pb_column type=&#8221;1_4&#8243;][et_pb_image admin_label=&#8221;Image&#8221; src=&#8221;https:\/\/mslc.sdsu.edu\/wp-content\/uploads\/2016\/12\/recon_math.jpg&#8221; show_in_lightbox=&#8221;off&#8221; url_new_window=&#8221;off&#8221; use_overlay=&#8221;off&#8221; animation=&#8221;off&#8221; sticky=&#8221;on&#8221; align=&#8221;left&#8221; force_fullwidth=&#8221;off&#8221; always_center_on_mobile=&#8221;on&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_width=&#8221;1px&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p>[\/et_pb_image][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243;][et_pb_text admin_label=&#8221;Text&#8221; background_layout=&#8221;light&#8221; text_orientation=&#8221;left&#8221; header_font_size=&#8221;72px&#8221; text_font_size=&#8221;31&#8243; use_border_color=&#8221;off&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p style=\"text-align: center;\"><strong>Dynamic Geometry Modules<\/strong><\/p>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Text&#8221; background_layout=&#8221;light&#8221; text_orientation=&#8221;left&#8221; use_border_color=&#8221;off&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: large;\">The accordion links below lead to three investigations of special triangles and three investigations of special quadrilaterals. \u00a0You can observe the properties of these constructions by dragging the vertices around the screen and note which are preserved.<\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_4&#8243;][et_pb_button admin_label=&#8221;Button&#8221; button_url=&#8221;https:\/\/mslc.sdsu.edu\/reconceptualizing\/&#8221; url_new_window=&#8221;off&#8221; button_text=&#8221;Back to main page&#8221; button_alignment=&#8221;center&#8221; background_layout=&#8221;light&#8221; custom_button=&#8221;on&#8221; button_text_size=&#8221;13&#8243; button_text_color=&#8221;#ffffff&#8221; button_bg_color=&#8221;#0a2fb2&#8243; button_border_width=&#8221;6&#8243; button_letter_spacing=&#8221;0&#8243; button_use_icon=&#8221;default&#8221; button_icon=&#8221;%%372%%&#8221; button_icon_placement=&#8221;right&#8221; button_on_hover=&#8221;on&#8221; button_letter_spacing_hover=&#8221;0&#8243; disabled=&#8221;off&#8221;]<\/p>\n<p>[\/et_pb_button][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section admin_label=&#8221;Section&#8221; transparent_background=&#8221;off&#8221; allow_player_pause=&#8221;off&#8221; inner_shadow=&#8221;off&#8221; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221; padding_mobile=&#8221;off&#8221; make_fullwidth=&#8221;off&#8221; use_custom_width=&#8221;off&#8221; width_unit=&#8221;off&#8221; custom_width_px=&#8221;1080px&#8221; custom_width_percent=&#8221;80%&#8221; make_equal=&#8221;off&#8221; use_custom_gutter=&#8221;off&#8221; fullwidth=&#8221;off&#8221; specialty=&#8221;off&#8221; disabled=&#8221;off&#8221;][et_pb_row admin_label=&#8221;Row&#8221; make_fullwidth=&#8221;off&#8221; use_custom_width=&#8221;off&#8221; width_unit=&#8221;off&#8221; custom_width_px=&#8221;1080px&#8221; custom_width_percent=&#8221;80%&#8221; use_custom_gutter=&#8221;off&#8221; gutter_width=&#8221;2&#8243; padding_mobile=&#8221;off&#8221; allow_player_pause=&#8221;off&#8221; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221; make_equal=&#8221;off&#8221; column_padding_mobile=&#8221;on&#8221; parallax_1=&#8221;off&#8221; parallax_method_1=&#8221;on&#8221; parallax_2=&#8221;off&#8221; parallax_method_2=&#8221;on&#8221; parallax_3=&#8221;off&#8221; parallax_method_3=&#8221;on&#8221; parallax_4=&#8221;off&#8221; parallax_method_4=&#8221;on&#8221; disabled=&#8221;off&#8221;][et_pb_column type=&#8221;4_4&#8243;][et_pb_accordion admin_label=&#8221;Accordion&#8221; open_toggle_background_color=&#8221;#ffe100&#8243; closed_toggle_background_color=&#8221;#00127c&#8221; closed_toggle_text_color=&#8221;#ffffff&#8221; icon_color=&#8221;#ffffff&#8221; use_border_color=&#8221;on&#8221; border_color=&#8221;#ffffff&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p>[et_pb_accordion_item title=&#8221;Triangle investigation 1: The Equilateral Triangle&#8221; open=&#8221;off&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_width=&#8221;1px&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p>Move points A and B around to investigate the construction.<\/p>\n<p><iframe loading=\"lazy\" scrolling=\"no\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/J3CrTnDR\/width\/850\/height\/417\/border\/888888\/sri\/true\" width=\"850px\" height=\"417px\" style=\"border:0px;\"> <\/iframe><\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=&#8221;Triangle Investigation 2: The Isosceles Triangle&#8221; open=&#8221;on&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_width=&#8221;1px&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p><iframe loading=\"lazy\" scrolling=\"no\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/BKyQHVVR\/width\/705\/height\/439\/border\/888888\/sri\/true\" width=\"800px\" height=\"439px\" style=\"border:0px;\"> <\/iframe><\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=&#8221;Triangle investigation 3: The Right Triangle&#8221; open=&#8221;off&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_width=&#8221;1px&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p><iframe loading=\"lazy\" scrolling=\"no\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/k6yX2w4v\/width\/693\/height\/600\/border\/888888\" width=\"693px\" height=\"600px\" style=\"border:0px;\"> <\/iframe><\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=&#8221;Quadrilateral Investigation 1: The Parallelogram&#8221; open=&#8221;off&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_width=&#8221;1px&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p><span style=\"font-size: large;\">Sketch 1: Parallelograms can be constructed using any of the definitions of their properties:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: large;\">A quadrilateral with two pair of opposite sides congruent<\/span><\/li>\n<li><span style=\"font-size: 14px;\">A quadrilateral with two pair of opposite sides&nbsp;parallel<\/span><\/li>\n<li><span style=\"font-size: 14px;\">A quadrilateral with one pair of opposite sides congruent and parallel<\/span><\/li>\n<li><span style=\"font-size: 14px;\">A quadrilateral with two diagonals that bisect each other<\/span><\/li>\n<li><span style=\"font-size: 14px;\">A quadrilateral with&nbsp;adjacent angles that are supplementary<\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 14px;\">Which of these do you think was used to create the parallelogram shown below?<\/span><\/p>\n<p><iframe loading=\"lazy\" scrolling=\"no\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/VeFMHHC5\/width\/790\/height\/408\/border\/888888\/sri\/true\/sdz\/true\" width=\"790px\" height=\"408px\" style=\"border:0px;\"> <\/iframe><\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=&#8221;Quadrilateral Investigation 2: The Kite&#8221; open=&#8221;off&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_width=&#8221;1px&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p><strong><span style=\"font-size: large;\">Sketch 2:&nbsp;How was this kite constructed? Move the points before you click in the box.<\/span><\/strong><\/p>\n<p><iframe loading=\"lazy\" style=\"border: 0px;\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/zPzeqmwN\/width\/602\/height\/425\/border\/888888\/sri\/true\/sdz\/true\" width=\"602px\" height=\"425px\" scrolling=\"no\"> <\/iframe><\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=&#8221;Quadrilateral Investigation 3: The Trapezoid&#8221; open=&#8221;off&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_width=&#8221;1px&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p><strong><span style=\"font-size: large;\">Sketch 3:&nbsp;How was this trapezoid constructed? &nbsp;Are all kites considered parallelograms? &nbsp;Why or why not?<\/span><\/strong><\/p>\n<p><iframe loading=\"lazy\" style=\"border: 0px;\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/rfRmJtjb\/width\/726\/height\/529\/border\/888888\/sri\/true\/sdz\/true\" width=\"800px\" height=\"529px\" scrolling=\"no\"> <\/iframe><\/p>\n<p>[\/et_pb_accordion_item]<\/p>\n<p>[\/et_pb_accordion][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=&#8221;Row&#8221; make_fullwidth=&#8221;off&#8221; use_custom_width=&#8221;off&#8221; width_unit=&#8221;off&#8221; custom_width_px=&#8221;1080px&#8221; custom_width_percent=&#8221;80%&#8221; use_custom_gutter=&#8221;off&#8221; gutter_width=&#8221;2&#8243; padding_mobile=&#8221;off&#8221; allow_player_pause=&#8221;off&#8221; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221; make_equal=&#8221;off&#8221; column_padding_mobile=&#8221;on&#8221; parallax_1=&#8221;off&#8221; parallax_method_1=&#8221;on&#8221; parallax_2=&#8221;off&#8221; parallax_method_2=&#8221;on&#8221; parallax_3=&#8221;off&#8221; parallax_method_3=&#8221;on&#8221; parallax_4=&#8221;off&#8221; parallax_method_4=&#8221;on&#8221; disabled=&#8221;off&#8221;][et_pb_column type=&#8221;4_4&#8243;][et_pb_text admin_label=&#8221;Text&#8221; background_layout=&#8221;light&#8221; text_orientation=&#8221;left&#8221; use_border_color=&#8221;off&#8221; border_style=&#8221;solid&#8221; disabled=&#8221;off&#8221;]<\/p>\n<p>If you would like to link to other investigations of special quadrilaterals and aspects of dynamic geometry, click here to access a <a href=\"https:\/\/ggbm.at\/L8SMGFcg\">geogebra book collection.<\/a><\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dynamic Geometry Modules &nbsp; The accordion links below lead to three investigations of special triangles and three investigations of special quadrilaterals. \u00a0You can observe the properties of these constructions by dragging the vertices around the screen and note which are preserved. Move points A and B around to investigate the construction. Sketch 1: Parallelograms can [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-template-blank.php","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-549","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mslc.sdsu.edu\/home\/wp-json\/wp\/v2\/pages\/549","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mslc.sdsu.edu\/home\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mslc.sdsu.edu\/home\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mslc.sdsu.edu\/home\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/mslc.sdsu.edu\/home\/wp-json\/wp\/v2\/comments?post=549"}],"version-history":[{"count":14,"href":"https:\/\/mslc.sdsu.edu\/home\/wp-json\/wp\/v2\/pages\/549\/revisions"}],"predecessor-version":[{"id":588,"href":"https:\/\/mslc.sdsu.edu\/home\/wp-json\/wp\/v2\/pages\/549\/revisions\/588"}],"wp:attachment":[{"href":"https:\/\/mslc.sdsu.edu\/home\/wp-json\/wp\/v2\/media?parent=549"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}