{"id":14,"date":"2016-03-15T17:52:25","date_gmt":"2016-03-15T17:52:25","guid":{"rendered":"https:\/\/fs.wp.odu.edu\/k3smith\/?page_id=14"},"modified":"2016-03-15T20:14:14","modified_gmt":"2016-03-15T20:14:14","slug":"geometry-construction-videos","status":"publish","type":"page","link":"https:\/\/fs.wp.odu.edu\/k3smith\/geometry-construction-videos\/","title":{"rendered":"Geometry Construction Videos"},"content":{"rendered":"<p>These videos go through the 22 constructions covered in MATH 302. There are also some additional examples showing applications of the constructions.<\/p>\n<p>Here is a link to a playlist containing <a href=\"https:\/\/www.youtube.com\/playlist?list=PLRZQfYv8LXXvbXQ5NiVGh3pmpbWWpy0BE\">all videos<\/a>, or they can be accessed individually below.<\/p>\n<p><a href=\"https:\/\/youtu.be\/W9dZ8tQgEUw\" target=\"_blank\">Overview of Construction Tools<\/a><\/p>\n<p style=\"font-size:28px\"><em><strong>Constructions 1-4: Constructing and bisecting angles and line segments<\/strong><\/em><\/p>\n<p><a href=\"https:\/\/youtu.be\/RP9zRQzvNSQ\" target=\"_blank\">Construction 1 &#8211; Construct a line segment congruent to a given segment<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/1ozsaCK1Ctc\" target=\"_blank\">Construction 2 &#8211; Construct the midpoint of a given segment<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/lOIOXZdHiE4\" target=\"_blank\">Construction 3 &#8211; Construct an angle congruent to a given angle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/lhVsSHxFvYs\" target=\"_blank\">Construction 4 &#8211; Construct an angle bisector for a given angle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/QxlQb2kiUSY\" target=\"_blank\">Example 1 &#8211; Constructing a line segment of a given length<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/2MULLt30kx8\" target=\"_blank\">Example 2 &#8211; Constructing an angle with a given measure<\/a><\/p>\n<p style=\"font-size:28px\"><em><strong>Constructions 5-7: Constructing perpendicular and parallel lines<\/strong><\/em><\/p>\n<p><a href=\"https:\/\/youtu.be\/nOgTGWWRUJ8\" target=\"_blank\">Construction 5 &#8211; Construct a line perpendicular to a given line through a point on the line<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/vVoWbX-_KOc\" target=\"_blank\">Construction 6 &#8211; Construct a line perpendicular to a given line through a point not on the line<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/MES5IhvxEvQ\" target=\"_blank\">Construction 7 &#8211; Construct a line parallel to a given line<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/ZhrU2cDBhvc\" target=\"_blank\">Example 1 &#8211; Construct a 45 degree angle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/3JVzLKzdh0o\" target=\"_blank\">Example 2 &#8211; Construct a parallelogram<\/a><\/p>\n<p style=\"font-size:28px\"><em><strong>Constructions 8-13: Constructing Triangles<\/strong><\/em><\/p>\n<p><a href=\"https:\/\/youtu.be\/hgCIOhXyeqY\" target=\"_blank\">Construction 8 &#8211; Construct a triangle given three sides<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/XPJUTO4N_Nc\" target=\"_blank\">Construction 9 &#8211; Construct an equilateral triangle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/Bh10GHFX2oM\" target=\"_blank\">Construction 10 &#8211; Construct a triangle given two sides and their included angle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/FyZLosQyJXM\" target=\"_blank\">Construction 11 &#8211; Construct a triangle given two angles and their included side<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/KHm7jenRNuc\" target=\"_blank\">Construction 12 &#8211; Construct a triangle given two\u00a0angle and a side not included<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/HP_vy0G-s4s\" target=\"_blank\">Construction 13 &#8211; Construct a right triangle given its hypotenuse and one leg<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/qk9PEN_K50c\" target=\"_blank\">Example 1 &#8211; Construct a 30-60-90 triangle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/Rb49cjiVC1Y\" target=\"_blank\">Example 2 &#8211; Use a right triangle to construct a segment of a given length<\/a><\/p>\n<p style=\"font-size:28px\"><em><strong>Constructions 14-18:\u00a0Circle Constructions<\/strong><\/em><\/p>\n<p><a href=\"https:\/\/youtu.be\/716TSNDPwns\" target=\"_blank\">Construction 14:\u00a0Constructing a circumscribed circle for a triangle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/ZiBqDQtcMrA\" target=\"_blank\">Construction 15: Constructing an inscribed circle for a triangle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/slRJZMT-dvI\" target=\"_blank\">Construction 16: Constructing a tangent through a point on a circle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/l5HnHydwsjc\" target=\"_blank\">Construction 17:\u00a0Constructing a tangent through a point not on a circle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/8zJFoRZhcsU\" target=\"_blank\">Construction 18: Constructing the center of a given circle<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/M8kMFtce0K8\" target=\"_blank\">Example:\u00a0Constructing the incenter\/circumcenter for a rectangle<\/a><\/p>\n<p style=\"font-size:28px\"><em><strong>Constructions 19-22: Inscribing Regular Polygons in Circles<\/strong><\/em><\/p>\n<p><a href=\"https:\/\/youtu.be\/QUQBkUCm7lo\" target=\"_blank\">Construction 19: Constructing an inscribed square<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/Ev3Y95Q4KUo\" target=\"_blank\">Construction 20: Constructing an inscribed octagon<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/uZoNqLE7aQo\" target=\"_blank\">Construction 21: Constructing an inscribed hexagon<\/a><\/p>\n<p><a href=\"https:\/\/youtu.be\/lB8fOubfvfo\" target=\"_blank\">Construction 22: Constructing an inscribed equilateral triangle<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>These videos go through the 22 constructions covered in MATH 302. There are also some additional examples showing applications of the constructions. Here is a link to a playlist containing all videos, or they can be accessed individually below. Overview&#8230; <a class=\"more-link\" href=\"https:\/\/fs.wp.odu.edu\/k3smith\/geometry-construction-videos\/\">Continue Reading &rarr;<\/a><\/p>\n","protected":false},"author":2343,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"_links":{"self":[{"href":"https:\/\/fs.wp.odu.edu\/k3smith\/wp-json\/wp\/v2\/pages\/14"}],"collection":[{"href":"https:\/\/fs.wp.odu.edu\/k3smith\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fs.wp.odu.edu\/k3smith\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fs.wp.odu.edu\/k3smith\/wp-json\/wp\/v2\/users\/2343"}],"replies":[{"embeddable":true,"href":"https:\/\/fs.wp.odu.edu\/k3smith\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":5,"href":"https:\/\/fs.wp.odu.edu\/k3smith\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":26,"href":"https:\/\/fs.wp.odu.edu\/k3smith\/wp-json\/wp\/v2\/pages\/14\/revisions\/26"}],"wp:attachment":[{"href":"https:\/\/fs.wp.odu.edu\/k3smith\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}