IM Geo.1.6 Lesson: Construction Techniques 4: Parallel and Perpendicular Lines

Each pair of shapes is congruent. Mentally identify a transformation or sequence of transformations that could take one shape to the other.
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[/img]
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[/img]
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[/img]
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Cxb2r+i04mmEEuQ11jkrgUB+l0QiYV+J6RLg1h0qRTiDCwB+iUziYV+2axLg1h0qRTiDCwBuvYKiYWuxaJLg1h0qRTiDCSB7777jqVC1zLSqUEsOlULsQaOAF1pkUYrTz31lFa5QyxalQvBBo3A5MmTWSy63VIYYgnamop8tSLQq1cvFssPP/ygVdwQi1blQrBBIkBXB6DNILrroW4NYtGtYog3MATovswkFrpPs24NYtGtYog3MASmT5/OYlm8eLF2OUMs2pUMAQeFwODBg1kshw8f1i5liEW7kiHgIBD47bffWCpXX321lulCLFqWDUGbTqCsrIzFcv/992uZKsSiZdkQtOkEZs+ezWJ5++23tUwVYtGybAjadALyXucHDhzQMlWIRcuyIWiTCdTX14vWrVsLuoPoxYsXtUwVYtGybAjaZAL79u3jzaCsrCxt04RYtC0dAjeVwGuvvcZimTt3rrYpQizalg6Bm0rg7rvvZrHs2rVL2xQhFm1Lh8BNJXDllVeyWP766y9tU4RYtC0dAjeRQGVlJUslLS1N6/QgFq3Lh+BNI7Bw4UIWS25urtapQSxalw/Bm0Zg/PjxLJatW7dqnRrEonX5ELxpBLp06cJiqamp0To1iEXr8iF4kwh88803LJV+/fppnxbEon0JkYApBJYvX85imTJlivYpQSzalxAJmELg8ccfZ7GsW7dO+5QgFu1LiARMIdCjRw8Wy08//aR9ShCL9iVEAiYQOHHiBEulW7duJqQjIBYjyogkdCdQXFzMYpkwYYLuqXD8EIsRZUQSuhOYNm0ai6WwsFD3VDh+iMWIMiIJ3QmkpKSwWKqqqnRPheOHWIwoI5LQmUBtbS1L5dprr9U5jbDYIZYwHHgBAt4TKC0tZbE8+OCD3nfuUo8Qi0tgsVgQiJXAzJkzWSzvvvturB9Rfj6IRfkSIUDTCQwdOpTFUlFRYUyqEIsxpUQiOhK4cOECS6Vt27Y6hh81ZoglKhq8AQLuE9i7dy+LZeTIke535mEPEIuHsNEVCEQSKCgoYLHk5+dHvqX1a4hF6/IheN0J3HnnnSyW3bt3655KWPwQSxgOvAABbwlcfvnlLJa///7b245d7g1icRkwFg8C0QgcOnSIpTJkyJBos2g7HWLRtnQIXHcCCxYsYLHMmDFD91QaxA+xNECCCSDgDYFx48axWLZv3+5Nhx72ArF4CBtdgYCVQOfOnVksp0+ftk424jnEYkQZkYRuBL766iuWSv/+/XULPaZ4IZaYMGEmEHCWwLJly1gszz77rLMLVmRpEIsihUAYwSLw2GOPsVjWr19vZOIQi5FlRVKqE/jPf/7DYvn5559VDzWu+CCWuLDhQyAQP4Hjx4+zVJKSkuJfiOKfhFgULxDCM4/Ahg0bWCwTJ040L7n/ZQSxGFtaJKYqgalTp7JYioqKVA2xxXFBLC1GiAWAQPMIDBw4kMVy5MiR5n1Qo7khFo2KhVD1J3DmzBmWynXXXad/Mo1kALE0AgdvgYDTBEpKSlgsY8eOdXrRSi0PYlGqHAjGdAJ5eXkslvfee8/oVCEWo8uL5FQjkJ6ezmI5ePCgaqE5Gg/E4ihOLAwEohM4d+4cS6V9+/bRZzLkHYjFkEIiDfUJ7Nmzh8UyatQo9YNtYYQQSwsB4uMgECuBV155hcUyb968WD+i7XwQi7alQ+C6EbjjjjtYLDRyMb1BLKZXGPkpQ6Bdu3YslvPnzysTk1uBQCxukcVyQcBC4PPPP2epZGRkWKaa+xRiMbe2yEwhAvPnz2exvPTSSwpF5V4oEIt7bLFkEAgRGDNmDItlx44doWkmP4FYTK4uclOGQKdOnVgsv/76qzIxuRkIxOImXSwbBIQQX375JUuFftUclAaxBKXSyNM3AkuXLmWxPPfcc77F4HXHEIvXxNFf4Ag8+uijLJaNGzcGJneIJTClRqJ+EUhMTGSxVFdX+xWC5/1CLJ4jR4dBInDs2DGWSvfu3YOUtoBYAlVuJOslAfo1s/x90KRJk7zs2ve+IBbfS4AATCTw4osviksuuYRHK61atRKDBg0SJ0+eNDFV25wgFlssmAgC8RPIzc0NCYWkIv/S0tLiX6hmn4RYNCsYwlWbwNmzZ0MikUKxPpaWlqqdgEPRQSwOgcRiQIAIVFRUNCqW/Pz8QICCWAJRZiTpFQE6pGwdoUQ+X7FihVeh+NoPxOIrfnRuIgG69GSkUOj1ZZddJui+QkFoEEsQqowcPSVw9OhRkZycHCaXNm3aCLpnc1AaxBKUSiNPzwkUFxcLuo/QkiVLxKlTpzzv388OIRY/6aNvEDCUAMRiaGGRFgj4SQBi8ZM++gYBQwlALIYWFmnpSaCurk7s37+f/2L5NXR5eXlofpUyhlhUqgZiCTwBupmZPFTd1I3N6Pq5ct6UlBSl2EEsSpUDwQSdAF10u2PHjiyMnJycRnHQdV7kvNnZ2Y3O6/WbEIvXxNEfCDRCgGSRmZkp5GO0WdeuXcvyIaHQqGXRokXRZvVlOsTiC3Z0CgINCdD+FZIEyYLkkpqa2nAmIQTNl5CQwPPQqIY+Q/taVGoQi0rVQCyBJiD3mdDoQ45E7IDI/TAkExIQiUW1pl5EqhFCPCDgEQGrMORzGp1YmxytyH0qJBXVdtxSvBCLtWp4DgI+ErCOPuQ+lMhNHDmSoUPR9J7cdPIxbNuuIRZbLJgIAt4ToCM8cvQhpWG9Jau8JIM8DE2bTCQWkpBqDWJRrSKIJ5AEpDTkIWa5I1dKhKDIQ9Fy80iOXqqqqpRjBrEoVxIEFEQCctPHOvqg0YgUixzByNfESN6vSEVeEIuKVUFMgSMgDxtbRx+0WUT7XajRI4lENjmike/L6ao8QiyqVAJxBJqAdcetBEHT6E8ehraOZuQIRm46yc+o8gixqFIJxBFoArTZEzn6kKOYpKSkBu/RJpGqO26pkBBLoFdnJK8CAdr8se5PkTFJedB7NEKxNjnCsW46Wd/3+znE4ncF0H/gCcjDxtZDywRFbgLR0aDIRoem6U/VBrGoWhnEFRgCNBqh0Unk9Vfotd10AkPTrftcVIMFsahWEcQDAgYQgFgMKCJSAAHVCEAsqlUE8YCAAQQgFgOKiBRAQDUCEItqFUE8IGAAAYjFgCIiBRBQjQDEolpFEA8IGEDgv8cA1hxSVpC3AAAAAElFTkSuQmCC[/img]
Here is a line m and a point C not on the line. Use straightedge and compass tools to construct a line perpendicular to line m that goes through point C. Be prepared to share your reasoning.
The line segment AB has a length of 1 unit.
Construct its perpendicular bisector and draw the point where this line intersects our original segment [math]AB[/math]. How far is this new point from [math]A[/math]?
We now have 3 points drawn. Use a pair of points to construct a new perpendicular bisector that has not been drawn yet and label its intersection with segment [math]AB[/math]. How far is this new point from [math]A[/math]?
If you repeat this process of drawing new perpendicular bisectors and considering how far your point is from [math]A[/math], what can you say about all the distances?
Here is a line m and a point C not on the line. Use straightedge and compass moves to construct a line parallel to line m that goes through point C.
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Information: IM Geo.1.6 Lesson: Construction Techniques 4: Parallel and Perpendicular Lines