{"id":12440,"date":"2012-03-23T06:10:46","date_gmt":"2012-03-23T13:10:46","guid":{"rendered":"http:\/\/artquiltmaker.com\/blog\/?p=12440"},"modified":"2017-04-04T17:32:00","modified_gmt":"2017-04-05T00:32:00","slug":"creative-prompt-149-parallelogram","status":"publish","type":"post","link":"https:\/\/artquiltmaker.com\/blog\/2012\/03\/creative-prompt-149-parallelogram\/","title":{"rendered":"Creative Prompt #149: Parallelogram"},"content":{"rendered":"<p><a href=\"http:\/\/en.wikipedia.org\/wiki\/Parallelogram\" target=\"_blank\">Definition<\/a>: In <a title=\"Euclidean geometry\" href=\"http:\/\/en.wikipedia.org\/wiki\/Euclidean_geometry\">Euclidean geometry<\/a>, a <strong>parallelogram<\/strong> is a <a title=\"Convex\" href=\"http:\/\/en.wikipedia.org\/wiki\/Convex\">convex<\/a> <a title=\"Quadrilateral\" href=\"http:\/\/en.wikipedia.org\/wiki\/Quadrilateral\">quadrilateral<\/a> with two pairs of <a title=\"Parallel (geometry)\" href=\"http:\/\/en.wikipedia.org\/wiki\/Parallel_%28geometry%29\">parallel<\/a> sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean Parallel Postulate and neither condition can be proven without appealing to the Euclidean Parallel Postulate or one of its equivalent formulations. The three-dimensional counterpart of a parallelogram is a <a title=\"Parallelepiped\" href=\"http:\/\/en.wikipedia.org\/wiki\/Parallelepiped\">parallelepiped<\/a>.<\/p>\n<p>The etymology (in Greek ????????-????????, a shape &#8220;of parallel lines&#8221;) reflects the definition.<\/p>\n<p>rectangle<\/p>\n<p>a shape<\/p>\n<p>theorems for a parallelogram<\/p>\n<p>not a triangle<\/p>\n<p>a method of vector resolution<\/p>\n<p>Parallelogram Lifts<\/p>\n<p>area of a parallellogram<\/p>\n<p>Android app<\/p>\n<p>square<\/p>\n<p>&nbsp;<\/p>\n<p>Please post the direct URL (link) where your drawing, doodle, artwork is posted (e.g. your blog, Flickr) in the comments area of this post. I would really like to keep all the artwork together and provide a way for others to see your work and\/or your blog, and how your work relates to the other responses.<\/p>\n<p>The Creative Prompt Project, also, has a <a href=\"http:\/\/www.flickr.com\/groups\/aqcpp\" target=\"_blank\">Flickr group<\/a>, which you can join to post your responses. Are you already a member? I created that spot so those of you without blogs and websites would have a place to post your responses. Please join and look at all of the great artwork that people have posted.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Definition: In Euclidean geometry, a parallelogram is a convex quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean Parallel &hellip; <a href=\"https:\/\/artquiltmaker.com\/blog\/2012\/03\/creative-prompt-149-parallelogram\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Creative Prompt #149: Parallelogram&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[401],"tags":[79,311,72],"class_list":["post-12440","post","type-post","status-publish","format-standard","hentry","category-401","tag-creative-prompt","tag-creativity","tag-group-project"],"jetpack_featured_media_url":"","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/artquiltmaker.com\/blog\/wp-json\/wp\/v2\/posts\/12440","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/artquiltmaker.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/artquiltmaker.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/artquiltmaker.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/artquiltmaker.com\/blog\/wp-json\/wp\/v2\/comments?post=12440"}],"version-history":[{"count":0,"href":"https:\/\/artquiltmaker.com\/blog\/wp-json\/wp\/v2\/posts\/12440\/revisions"}],"wp:attachment":[{"href":"https:\/\/artquiltmaker.com\/blog\/wp-json\/wp\/v2\/media?parent=12440"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/artquiltmaker.com\/blog\/wp-json\/wp\/v2\/categories?post=12440"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/artquiltmaker.com\/blog\/wp-json\/wp\/v2\/tags?post=12440"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}