{"id":7833,"date":"2017-05-25T19:23:32","date_gmt":"2017-05-25T19:23:32","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&p=7833"},"modified":"2019-05-27T05:44:40","modified_gmt":"2019-05-27T05:44:40","slug":"introduction","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/introduction\/","title":{"raw":"Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem","rendered":"Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem"},"content":{"raw":"

What you'll learn to do: Use properties of angles, triangles, and the Pythagorean Theorem to solve problems<\/h2>\r\n[caption id=\"\" align=\"aligncenter\" width=\"718\"]\"Part Note the many individual shapes in this building.[\/caption]\r\n\r\nWe are surrounded by all sorts of geometry. Architects use geometry to design buildings. Artists create vivid images out of colorful geometric shapes. Street signs, automobiles, and product packaging all take advantage of geometric properties. In this module, we will begin by considering a formal approach to solving problems and use it to solve a variety of common problems, including making decisions about money. Then we will explore geometry and relate it to everyday situations using the problem-solving strategy we develop.\r\n\r\nBefore you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.\r\n
\r\n

readiness quiz<\/h3>\r\n1)\r\n\r\nSolve: [latex]x+3+6=11[\/latex]\r\n\r\nSolution: [latex]x=2[\/latex]\r\n\r\n2)\r\n\r\n[ohm_question]146811[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/pXvzpSU4DyU\r\n\r\n3)\r\n\r\n[ohm_question]146636[\/ohm_question]\r\n\r\nIf you missed this problem, review this example.\r\n
\r\n\r\nSimplify:\r\n\r\n[latex]\\sqrt{25+144}[\/latex]\r\n\r\n[reveal-answer q=\"390573\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"390573\"]\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Use the order of operations.<\/td>\r\n<\/tr>\r\n
[latex]\\sqrt{25+144}[\/latex]<\/td>\r\n<\/tr>\r\n
Add under the radical sign.<\/td>\r\n[latex]\\sqrt{169}[\/latex]<\/td>\r\n<\/tr>\r\n
Simplify.<\/td>\r\n[latex]13[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<\/div>","rendered":"

What you’ll learn to do: Use properties of angles, triangles, and the Pythagorean Theorem to solve problems<\/h2>\n
\"Part<\/p>\n

Note the many individual shapes in this building.<\/p>\n<\/div>\n

We are surrounded by all sorts of geometry. Architects use geometry to design buildings. Artists create vivid images out of colorful geometric shapes. Street signs, automobiles, and product packaging all take advantage of geometric properties. In this module, we will begin by considering a formal approach to solving problems and use it to solve a variety of common problems, including making decisions about money. Then we will explore geometry and relate it to everyday situations using the problem-solving strategy we develop.<\/p>\n

Before you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.<\/p>\n

\n

readiness quiz<\/h3>\n

1)<\/p>\n

Solve: [latex]x+3+6=11[\/latex]<\/p>\n

Solution: [latex]x=2[\/latex]<\/p>\n

2)<\/p>\n