{"id":3198,"date":"2022-12-02T02:10:00","date_gmt":"2022-12-02T06:10:00","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=3198"},"modified":"2024-10-25T10:51:56","modified_gmt":"2024-10-25T14:51:56","slug":"mathcounts-geometry-exercise-4","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=3198","title":{"rendered":"MathCounts Geometry Exercise – 4"},"content":{"rendered":"\n
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  1. ________ In parallogram $ABCD$, $EF\\parallel AC$. The area of $\\triangle{AED}=72\\ cm^2$. Find the area the shaded region in $cm^2$.<\/li><\/ol>
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    1. ________ In parallelogram $ABCD$, $CE$ intersects with $DA$ at $F$. The area of $\\triangle{BEF}$ is $4\\ cm^2$. Find the area the shaded region in $cm^2$.<\/li><\/ol>
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      1. ________ In rectangle $ABCD$, $AD=6\\ cm$, $AB=8\\ cm$. $AF$ intersects with $DC$ at $E$. The area of $\\triangle{BEF}$ is $8\\ cm^2$. Find the area of the shaded region in $cm^2$.<\/li><\/ol>
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        1. ________ Square $CDEF$ is divided into 5 regions of equal area. $AB=3.6\\ cm$. Find the area of the square in $cm^2$.<\/li><\/ol>
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          1. ________ The area of quadrilateral $ABCD$ is $18\\ cm^2$. $CD=7\\ cm$. Diagonals $AC$ and $BD$ intersect at a point inside $ABCD$. $BD=10\\ cm$, $AC=BC$, $\\angle{BCA}=90^\\circ$. Find the area of $\\triangle{ACD}$ in $cm^2$.<\/li><\/ol>
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            1. ________ $P$ is outside of square $ABCD$. $PB=12\\ cm$. The area of $\\triangle{APB}$ is $90\\ cm^2$. The area of $\\triangle{CPB}$ is $48\\ cm^2$Find the area of square $ABCD$ in $cm^2$.<\/li><\/ol>
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              1. ________ $P$ is inside right $\\triangle{ABC}$. $BA=BC$. $PB=10\\ cm$. The area of $\\triangle{ABP}$ is $60\\ cm^2$. The area of $\\triangle{BPC}$ is $30\\ cm^2$. Find the area of $\\triangle{ABC}$ in $cm^2$.<\/li><\/ol>
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                1. ________ In $\\triangle{ABC}$, $AB=AC=9\\ cm$. $\\angle{BAC}=120^\\circ$. $P$ is on $BC$ so that $CP=6\\ cm$. $Q$ is on $AC$ so that $\\angle{CPQ}=\\angle{APB}$. Find the area of $\\triangle{BPQ}$ in $cm^2$.<\/li><\/ol>
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                  1. ________ The area of $\\triangle{ABC}$ is $1\\ cm^2$. Extend $AB$ to $D$ so that $AB=BD$. Extend $BC$ to $E$ so that $BC=\\dfrac{1}{2}CE$. Extend $CA$ to $F$ so that $CA=\\dfrac{1}{3}AF$. Find the area of $\\triangle{DEF}$ in $cm^2$.<\/li><\/ol>
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                    1. ________ $G$ is a point outside of square $ABCD$. $AB$ intersects with $GD$ at $E$, $GC$ at $F$. $AB=12\\ cm$. $EF=4\\ cm$. Find the area of $\\triangle{EFG}$ in $cm^2$.<\/li><\/ol>
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                      ________ In parallogram $ABCD$, $EF\\parallel AC$. The area of $\\triangle{AED}=72\\ cm^2$. Find the area the shaded region in $cm^2$. ________ In parallelogram $ABCD$, $CE$ intersects with $DA$ at $F$. The area of $\\triangle{BEF}$ is $4\\ cm^2$. Find the area the … Continue reading →<\/span><\/a><\/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":[9,18,11],"tags":[],"_links":{"self":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/3198"}],"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=3198"}],"version-history":[{"count":29,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/3198\/revisions"}],"predecessor-version":[{"id":4185,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/3198\/revisions\/4185"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3198"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3198"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}