{"id":1957,"date":"2021-07-22T21:38:49","date_gmt":"2021-07-22T21:38:49","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=1957"},"modified":"2021-08-03T20:46:06","modified_gmt":"2021-08-03T20:46:06","slug":"geometry-challenge-2-%e2%ad%90%e2%ad%90","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=1957","title":{"rendered":"Geometry Challenge &#8211; 2 \u2b50\u2b50"},"content":{"rendered":"\n<p>In acute $\\triangle{ABC}$, $D$ and $E$ are on $AB$ and $AC$ respectively, and $CD\\perp AB$, $BE\\perp AC$. Draw perpendicular lines from $B$ and $C$ toward line $DE$, intersecting $DE$ at $F$ and $G$ respectively. Show that $DF=EG$. <\/p>\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\/07\/Screen-Shot-2021-07-22-at-5.22.01-PM-1024x783.png\" alt=\"\" class=\"wp-image-1958\" width=\"256\" height=\"196\" srcset=\"https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/07\/Screen-Shot-2021-07-22-at-5.22.01-PM-1024x783.png 1024w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/07\/Screen-Shot-2021-07-22-at-5.22.01-PM-300x229.png 300w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/07\/Screen-Shot-2021-07-22-at-5.22.01-PM-768x587.png 768w, https:\/\/mathfun4kids.com\/mlog\/wp-content\/uploads\/2021\/07\/Screen-Shot-2021-07-22-at-5.22.01-PM.png 1120w\" sizes=\"(max-width: 256px) 100vw, 256px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In acute $\\triangle{ABC}$, $D$ and $E$ are on $AB$ and $AC$ respectively, and $CD\\perp AB$, $BE\\perp AC$. Draw perpendicular lines from $B$ and $C$ toward line $DE$, intersecting $DE$ at $F$ and $G$ respectively. Show that $DF=EG$.<\/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\/1957"}],"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=1957"}],"version-history":[{"count":6,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/1957\/revisions"}],"predecessor-version":[{"id":2133,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/1957\/revisions\/2133"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1957"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1957"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1957"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}