{"id":96,"date":"2022-04-13T09:58:20","date_gmt":"2022-04-13T09:58:20","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=96"},"modified":"2025-03-05T07:28:23","modified_gmt":"2025-03-05T07:28:23","slug":"d-21-find-the-distance-between-two-parallel-lines","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-21-find-the-distance-between-two-parallel-lines\/","title":{"rendered":"D.21 Find the distance between two parallel lines"},"content":{"rendered":"\n

Find the distance between two parallel lines<\/strong><\/h2>\n\n\n\n

key notes:<\/p>\n\n\n\n

The distance between two parallel lines is the distance between one line and a point on the other line.<\/p>\n\n\n\n

The distance between a point and a line is the length of the segment perpendicular to the line from the point.<\/p>\n\n\n\n

Learn with an example<\/h2>\n\n\n\n
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Line \u21131<\/sub> has the equation y=\u20134 and line \u21132<\/sub> has the equation y=5.<\/p>\n\n\n\n

 Find the distance between \u21131<\/sub> and \u21132<\/sub>.<\/p>\n<\/div><\/div>\n\n\n\n

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The line \u21131<\/sub> is a horizontal line with a y-intercept of \u20134. The line \u21132<\/sub> is a horizontal line with a y-intercept of 5. Since \u21131 <\/sub>and \u21132<\/sub> are both horizontal lines with different y-intercepts, they are parallel.<\/p>\n\n\n\n

To find the distance between \u21131<\/sub> and \u21132<\/sub>, pick a point on one of the lines and find the distance from that point to the other line. For convenience, pick the y-intercept of \u21131<\/sub>, (0,\u20134). Call this point R.<\/p>\n\n\n

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

Now, calculate the distance between \u21132<\/sub> and R. The point S(0,5) lies on \u21132 <\/sub>and is directly above R.<\/p>\n\n\n

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

The segment perpendicular to \u21132<\/sub> from R is the vertical segment between S and R, which is RS.<\/p>\n\n\n

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

To find the distance between \u21131<\/sub> and \u21132<\/sub>, find the length of RS. The length is the absolute value of the difference in y-coordinates of S and R, which is |5\u2013\u20134|=9. So, the distance between \u21131<\/sub> and \u21132<\/sub> is 9.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

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Line \u21131<\/sub> has the equation y=\u20133 and line \u21132<\/sub> has the equation y=7.<\/p>\n\n\n\n

 Find the distance between \u21131<\/sub> and \u21132<\/sub>.<\/p>\n<\/div><\/div>\n\n\n\n

To find the distance between \u21131<\/sub> and \u21132<\/sub>, find the length of TU. The length is the absolute value of the difference in y-coordinates of U and T, which is |7\u2013\u20133|=10. So, the distance between \u21131<\/sub> and \u21132<\/sub> is 10.<\/p>\n<\/div><\/div>\n\n\n\n

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Line \u21131<\/sub> has the equation y=\u20135 and line \u21132<\/sub> has the equation y=\u20133.<\/p>\n\n\n\n

 Find the distance between \u21131<\/sub> and \u21132<\/sub>.<\/p>\n<\/div><\/div>\n\n\n\n

To find the distance between \u21131<\/sub> and \u21132<\/sub>, find the length of BC. The length is the absolute value of the difference in y-coordinates of C and B, which is |\u20133\u2013\u20135|=2. So, the distance between \u21131<\/sub> and \u21132<\/sub> is 2.<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice:<\/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":"

Find the distance between two parallel lines key notes: The distance between two parallel lines is the distance between one line and a point on the other line. The distance between a point and a line is the length of the segment perpendicular to the line from the point. Learn with an example Line \u21131 has the equation y=\u20134 and line \u21132 has the equation y=5.Continue reading “D.21 Find the distance between two parallel lines”<\/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-96","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/96","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=96"}],"version-history":[{"count":19,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/96\/revisions"}],"predecessor-version":[{"id":17602,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/96\/revisions\/17602"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=96"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}