{"id":236,"date":"2022-04-13T10:24:57","date_gmt":"2022-04-13T10:24:57","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=236"},"modified":"2025-02-08T10:28:08","modified_gmt":"2025-02-08T10:28:08","slug":"l-7-midpoint-formula","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/l-7-midpoint-formula\/","title":{"rendered":"L.7 Midpoint formula"},"content":{"rendered":"\n

Midpoint formula<\/strong><\/h2>\n\n\n\n

Key Notes :<\/p>\n\n\n\n

Midpoint formula<\/strong> :<\/p>\n\n\n\n

The Mid point formula is used to find the point that is exactly half way between two given points (x1 <\/sub> , y1<\/sub> ) and (x2<\/sub> , y2<\/sub> ) in a coordinate plane .<\/p>\n\n\n\n

Formula :<\/strong><\/p>\n\n\n\n

The mid point (M) between two points (x1 <\/sub> , y1<\/sub> ) and (x2<\/sub> , y2<\/sub> ) is given by :<\/p>\n\n\n\n

M = (x1<\/sub> +x2<\/sub> \/2 , y1<\/sub> +y2<\/sub> \/2)<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n

A line segment has the endpoints<\/strong><\/strong> R(9, 6) and<\/strong> S(3, 2). Find the coordinates of its midpoint M. <\/strong><\/p>\n\n\n\n

Write the coordinates as decimals or integers.<\/p>\n\n\n\n

M = ( ____ ______)<\/p>\n\n\n\n

\n

Use the mid point formula to find the midpoint M. Plug in R(9 , 6) for (x1 <\/sub> , y1<\/sub> ) and S(3,2) for (x2<\/sub> , y2<\/sub> )<\/p>\n\n\n\n

M = (x1<\/sub> +x2<\/sub> \/2 , y1<\/sub> +y2<\/sub> \/2)<\/p>\n\n\n\n

= (9<\/strong> + 3<\/strong>\/2, 6<\/strong> + 2<\/strong>\/2) Plug in (9,6) and (3,2)<\/p>\n\n\n\n

 <\/em> = (12\/2, 8\/2) Add<\/p>\n\n\n\n

= (6, 4) Simplify<\/p>\n\n\n\n

RS has its midpoint M<\/em> at (6, 4)<\/p>\n\n\n

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\"\"<\/figure><\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n
\n

A line segment has the endpoints<\/strong><\/strong> C(0,10) and<\/strong> D(10, 0). Find the coordinates of its midpoint M. <\/strong><\/p>\n\n\n\n

Write the coordinates as decimals or integers.<\/p>\n\n\n\n

M = ( ____ ______)<\/p>\n\n\n\n

\n

Use the mid point formula to find the midpoint M. Plug in C(0 , 10) for (x1 <\/sub> , y1<\/sub> ) and D(10 ,0) for (x2<\/sub> , y2<\/sub> )<\/p>\n\n\n\n

M = (x1<\/sub> +x2<\/sub> \/2 , y1<\/sub> +y2<\/sub> \/2)<\/p>\n\n\n\n

=(0<\/strong> + 10<\/strong>\/2, 10<\/strong> + 0<\/strong>\/2) Plug in (0,10) and (10,0)<\/p>\n\n\n\n

= (10\/2, 10\/2) Add<\/p>\n\n\n\n

= (5, 5) Simplify<\/p>\n\n\n\n

CD<\/em> has its midpoint M<\/em> at (5, 5).<\/p>\n\n\n

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\"\"<\/figure><\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n
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GH<\/em> has endpoints at G<\/em>(8, 2) and H<\/em>(0, 6). Find the midpoint M<\/em> of GH<\/em>.<\/strong><\/p>\n\n\n\n

Write the coordinates as decimals or integers.<\/p>\n\n\n\n

M = ( ____ ______)<\/p>\n\n\n\n

\n

Use the mid point formula to find the midpoint M. Plug in G(8 , 2) for (x1 <\/sub> , y1<\/sub> ) and H(0 ,6) for (x2<\/sub> , y2<\/sub> )<\/p>\n\n\n\n

M = (x1<\/sub> +x2<\/sub> \/2 , y1<\/sub> +y2<\/sub> \/2)<\/p>\n\n\n\n

= (8<\/strong><\/strong> + 0<\/strong><\/strong>\/2, 2<\/strong><\/strong> + 6<\/strong><\/strong>\/2) Plug in (8,2) and (0,6)<\/p>\n\n\n\n

= (8\/2, 8\/2) Add<\/p>\n\n\n\n

= (4, 4) Simplify<\/p>\n\n\n\n

GH<\/em> has its midpoint M<\/em> at (4, 4).<\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/strong><\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Midpoint formula Key Notes : Midpoint formula : The Mid point formula is used to find the point that is exactly half way between two given points (x1 , y1 ) and (x2 , y2 ) in a coordinate plane . Formula : The mid point (M) between two points (x1 , y1 ) andContinue reading “L.7 Midpoint formula”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-236","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/236","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=236"}],"version-history":[{"count":21,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/236\/revisions"}],"predecessor-version":[{"id":17513,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/236\/revisions\/17513"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=236"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}