{"id":2181,"date":"2021-08-04T21:26:53","date_gmt":"2021-08-04T21:26:53","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=2181"},"modified":"2024-10-25T12:29:31","modified_gmt":"2024-10-25T16:29:31","slug":"geometry-challenge-7-%e2%ad%90","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=2181","title":{"rendered":"Geometry Challenge &#8211; 7 \u2b50"},"content":{"rendered":"\n<p>In parallegram $ABCD$, point $E$ and $F$ are on side $AB$ and $AD$ respectively. $EF$ intersects diagonal $AC$ at $G$. Show that $\\dfrac{AB}{AE}+\\dfrac{AD}{AF}=\\dfrac{AC}{AG}$. <button onclick=\"toggle_visibility('pic-geo-chall-7');toggle_visibility('sol-pic-geo-chall-7');toggle_visibility('sol-geo-chall-7')\">Click for the hint<\/button><\/p>\n\n\n\n<div id='pic-geo-chall-7' style='display:block'>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" src=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.19.09-PM-1024x650.png\" alt=\"\" class=\"wp-image-2265\" width=\"256\" height=\"163\" srcset=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.19.09-PM-1024x650.png 1024w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.19.09-PM-300x191.png 300w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.19.09-PM-768x488.png 768w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.19.09-PM.png 1096w\" sizes=\"(max-width: 256px) 100vw, 256px\" \/><\/figure>\n\n\n\n<\/div>\n<div id='sol-pic-geo-chall-7' style='display:none'>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" src=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.29.08-PM-1024x650.png\" alt=\"\" class=\"wp-image-2264\" width=\"256\" height=\"163\" srcset=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.29.08-PM-1024x650.png 1024w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.29.08-PM-300x191.png 300w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.29.08-PM-768x488.png 768w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/10\/Screen-Shot-2021-10-27-at-8.29.08-PM.png 1096w\" sizes=\"(max-width: 256px) 100vw, 256px\" \/><\/figure>\n\n\n\n<\/div>\n<div id='sol-geo-chall-7' style='display:none'>\n\n\n\n<p><\/p>\n\n\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>In parallegram $ABCD$, point $E$ and $F$ are on side $AB$ and $AD$ respectively. $EF$ intersects diagonal $AC$ at $G$. Show that $\\dfrac{AB}{AE}+\\dfrac{AD}{AF}=\\dfrac{AC}{AG}$. Click for the hint<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[9],"tags":[],"_links":{"self":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/2181"}],"collection":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2181"}],"version-history":[{"count":11,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/2181\/revisions"}],"predecessor-version":[{"id":2273,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/2181\/revisions\/2273"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2181"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2181"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2181"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}