Using Technology for Constructions: IM Geo.1.8

GeoGebra Classroom Activities, Nov 18, 2020

[url=https://im.kendallhunt.com/HS/teachers/2/1/8/preparation.html]“Using Technology for Constructions”[/url] from IM Geometry © 2019 [url=https://www.illustrativemathematics.org/]Illustrative Mathematics[/url]. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0[/url] license.

Table of Contents

  1. Geo.1.8 Lesson
    1. IM Geo.1.8 Lesson: Using Technology for Constructions
  2. Geo.1.8 Practice
    1. IM Geo.1.8 Practice: Using Technology for Constructions

1.

Geo.1.8 Lesson

  • 1. IM Geo.1.8 Lesson: Using Technology for Constructions

1.1.

IM Geo.1.8 Lesson: Using Technology for Constructions

Use the Constructions App.
Try all the tools in the workspace.
[size=150]Find the Undo button. [br][br][img]data:image/png;base64,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[/img][br][br]Click on the image of 3 stacked segments, the Main Menu, to save your work or go to a new page.[br][br][img]data:image/png;base64,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[/img][/size][br][br]Which tools do the same work as a straightedge?
The Constructions App has 3 tools to make a point. To learn about them, use the applet. In this applet, all 3 point tools have been used.
(or open the applet at [url=https://ggbm.at/cuupdskk]ggbm.at/cuupdskk[/url]).[br][br]Drag each point and each line around to see what happens in the Graphics View on the right.[br][br]Look at the way the points are defined in the Algebra View on the left.[br][br]Explain how each definition is related to the behavior of the corresponding point .
There are several ways to use the compass tool. Use the applet below.
First, set up a workspace that looks something like the image:
[img]data:image/png;base64,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[/img][list][*]Draw circle  through [math]A[/math] point [math]B[/math].[/*][*]Draw segment [math]CD[/math] not intersecting the circle centered at [math]A[/math].[br][/*][*]Draw point [math]E[/math] not intersecting the circle centered at [math]A[/math] or segment [math]CD[/math].[/*][/list]Select the compass tool and then click on segment [math]CD[/math]. What happens?
Now click on the point [math]E[/math]. What happens?
Make a new segment [math]EF[/math] that is the same length as [math]CD[/math].[br]Make a circle with the same radius as the circle centered at [math]A[/math].[br][br]Explain how the digital compass tool is the same and how it is different from a physical compass.
Use the applet to create one or more of these figures:
[list][*]a perpendicular bisector of line segment [math]AB[/math][/*][*]an equilateral triangle[/*][*]a regular hexagon[/*][*]a square[/*][*]a square inscribed in a circle[/*][*]two congruent, right triangles that do not share a side[/*][/list][br]In order for your construction to be successful, it has to be impossible to mess it up by dragging a point. Make sure to test your constructions.
When you use the GeoGebra Geometry App below, you’ll see some basic tools.
(You can also go to [url=https://www.geogebra.org/geometry]geogebra.org/geometry[/url])[br][br]Click on the word “MORE” and you’ll see some categories of tools, including “Construct” tools.[br][table][tr][td]perpendicular line tool[/td][td]parallel line tool[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][list][*]Construct a line or a line segment and an additional point that is not on it. Then try the perpendicular line tool and the parallel line tool. Use the move tool to drag some points around, and observe what happens.[/*][*]Use any of the digital tools to create one or more of these figures. Test your constructions by dragging a point.[/*][/list][table][tr][td] [/td][td][math]\odot[/math]parallelogram[br][/td][td] [/td][td] [/td][td] [/td][td] [/td][td] [/td][td] [/td][td] [/td][td] [/td][/tr][tr][td][/td][td][math]\odot[/math]rectangle[br][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][/tr][tr][td][/td][td][math]\odot[/math]rhombus[br][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][/tr][tr][td][/td][td][math]\odot[/math]square[br][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][/tr][/table]  
– GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

2.

Geo.1.8 Practice

  • 1. IM Geo.1.8 Practice: Using Technology for Constructions

2.1.

IM Geo.1.8 Practice: Using Technology for Constructions

Select [b]all[/b] of the digital construction tools that do the same job as a pencil alone (without straightedge or compass).
How can you test to see if a diagram made using digital tools is a construction or just a drawing based on estimation?
Han thought he constructed a rectangle using digital tools. When he moved point [math]A[/math] the screen looked like this. [br][img]data:image/png;base64,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[/img][br]What did Han do wrong?
Select [b]all [/b]the digital construction tools that do the same job as a straightedge.
Which digital construction tool does the same job as a compass?
[size=150]This diagram was made using digital construction tools. One of these triangles was made using the polygon tool and the other was made using the regular polygon tool.[/size][br][img]data:image/png;base64,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[/img][br]Explain what you could do to tell the difference between them.
Which digital construction tool would help you determine whether point [math]C[/math] or point [math]D[/math] is the midpoint of segment [math]AB[/math]?[br][img]data:image/png;base64,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[/img]
Here is as construction of a regular hexagon inscribed in a circle. Not all parts of the construction are shown.
[img]data:image/png;base64,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[/img][br]Explain how to construct an equilateral triangle inscribed in the circle centered at [math]A[/math] using [i]digital construction tools[/i].
Here is a construction of a regular hexagon inscribed in a circle. Not all parts of the construction are shown.
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bHXOmkU7/7az1CSRHOIgNPpizUpAF+qZMlUEV0Rtx5gRzQerYmv6HpE79H6TC353L6iP378mLkOgvsg/sE1fJxJiHnGZ1q8TzmaoFzBy7eeNp+mXiZCdFG9VxFRn4l3BvBvd/Q+M6LptXInRZWvJvNEttDQFKI5buLKDaLgPcjWCs93AmZzduFWoOPgg4PK8rt3796OYpTlx+yKuhwNhwQFGt6GyMIlaOTOP4XYTOwGKCbJag7uvko1SA65FR4WRnPmzGE8V716dcY7eZOi6nA+smZVh/DPyKOmLOPM4uQUUCwKuRXoIAz8scXFxVFMTAxFR0ezz/DhwwneUR1NOHQDAd99912HimJS4YNTv/845tZIiM1MvOJ6YAICPyC45LCtZ6hiq+Qw2EHp01Hfvn1l/uF8xL/B05bpxo0bcn74JcSCB+UZ7u3GMr8R/90KdBADYYD1SPPmzWPEe+655zRXd/PmTYLSBNoRGJyBmT5iMIXYTIDc2qsVCz115inFHL5DdboPkwHLga32DWBbJqzcmCC42BblAPoJEyZYZjXkv9uAfurUKUakTz75xOWOXL16VSY4ZN5a0rRp0+QyFVt1pomnHjPnhNYGWFwX4FfyAERzCHg5ZPMJmY/UQI5rrmpjauFnV/O4DeifffYZI5Ca6MLRRvN3ns2bN9stCu2msmXLyoPTZfEG5nLYW2KbKZlN/Pbs5APFmwHrklWirQH9o48+ssuXns7gNqC/8cYbDGyudrBHjx6sHmyD7CUuDsGAFKpWJym22UNxou6Bd16fmKQSEpnCjTWA8+vHjx+3x5oev+82oEdwTyxp0sirKwgTEBCgudMIqoAy8NpqLyGUEid8q2nzk6zNhNjMJwDnwYkKWnX1+ktKMJy/lN9Q3PKG5Bag37lzh4GuatWqhG3N1KlT2Qen74sWLdJMF24FBI8x1tLu3btlv3DZC5dkp6YIFiAY3LPbXp+hP3NN/Q9VbddNXkiUQDebqqs1nLgF6PCHBWJ89dVX1p5r9zrKog5bzgB69uwpE7/+wGiadFpYm/kMwDy4iqeiIbzbnP6Phm45SWVfkaLiwogK/AnLSW9IbgE6RAggAjxuOpOgQYfy+KglnMJnyigZKARnDqXBG48yYxQhNhOreCqQ6jhhYBv/zsJ1jC+xEGGHCh51xXJSjb/dcU0dSS4+CUHprYFUS9XwlonyarGu4Y8b9/Cp3KYLjT/2UIjNdGRmdwLF2+uGUk3f1bsZ7yG0FxIUwsCLeF01c3IL0GG8j8goziTuZF/tAK506dIyyLt+tVGIzQTADT2LgUfaETvOMx5s06YNY29uIFWlShVn2N2wMroDHQotmOHgcw1RS0EIfFavXk1wtmhP1zdbtmys/LFjx2QicGs11FukVn0af/whTTguxGbevkJ6W/uhRDN6j6S8VbNGDZk/eUy/lStXytfM9kN3oMOPOgCp9kmXLp3N/s+dO5eVUzqSSOmk8UumrQRvrN7GJKK93n9+ALt2KF6lCUxHBfPnl3n577//ZnybOXNm+ZrZfugOdPjMgvwb5qTKz8WLFwm652oJDhlBLO6vC3n2799PQUHpGQEjCxWnYb+eZiefAjDeDxivHUNm3nqPMkbkpKB0gSlYmfsbXLBgQYrrZvmjO9Ad6djIkSNTrfwDBw5kp5h8R/Dy4AnM84uwNhMAN8MEMen0Y8peVDorsuR18GzWrFktL5viv8eArgw3zEGt/M4YFsnc98K9kxCbCZCbAeRoA/gR6tXgVcvUq1cvdv2bb76xvOXx/6lba0CTlL7TleDmv7PkyM1cO40/el+8i4uTdVPxAJxNlmvalgEa0XqVCUE4wcOZMmVSXjbFb48AHY4nOKjVvgODgmj0nmvs4MMsM7loh9hVgAfgb652Vym6K86RLFP79u0Zb8Pts5mSR4Buy2MHB/6wX8+wWGcCYAJgZuIBOBFtMkrydaDm9x0HzuBheFcyU/II0JXmpBzYyu+sufKKE3axZTfVlp1PNnidbDtrCQMzfC6oJdhngJ/NZPDiEaCDODyMkhLg/HebGYuYaisnrvgWq7pZeABx3t5dsokBeexY9ehAeHcHLyO6q1mSx4COuOMQRXBw8++GwyYyW3KzDKxoh5hklDwQc+hv6veD5FH47U6drOK4fv36jLfN4pTCY0BHMHiAu0SJElSihBQ/jVmhnX1myi2bcrDFb/8FP/TdYa4K3q1fr55VoCOUE/J069bNah4jb3gM6LBMAyGgH9wxyY3ze79dEsEUxLu5qSd6qMCO3vsX492SJYrbxGpISAjLZzOTQTc9BvSoqCiZCDzQw8D1h1gkTLFi+u+Kaf6xT2RBGwOCgilDSLBNmELLE4vZpk2bbOYz4qZHgM4d3POwNdxRRZdF6wmHHeYfbAFEfx6jKReJMkZIEYNsgfTECclV9IsvvmgrmyH3PAL0QYMkhQMuh5w/fz6b+VpPn0/jjz0QQBfbd1PzAPy95ypdgfEsvCHZSrly5WL5/vvvP1vZ3H7PI0DHdkbpDXbjxo2MGIhhPeHEI1MPsj+vZKLv0k4O0X5KvCTJyq3FWOfIff/99xlvwwTbk8lwoCM4IoD+9ttvy/2Gkwlcq9Gprwh8KFZz00/0cBRZ9U3JK+zBgwdlPrb2A7xdpkwZa7cNuW440Fu0aMFADcMWnrjhfplGbzCH+WLlEGcAZuaBiSceEbwOA8BaogdVrFiR5bW3+nM8uOPbUKAjXBK27BA7KNO///7LCBFVsQaLaGnmQRZtE5MQHJK2iJNCji1ZskTJyqq/V61axfh70qRJqveNuGgo0P/44w/WYdjtWiZ47MiaJ7/ktllsX02/ffXnCS/2yD3q9Plqxsvx8fGWrKz6H6t/+fLlVe8ZcdFQoMfGxjLiqMkVc+fMSWkC0zOfcP7MRKLv5t8xwNtR7++kICVaYgICyAiZDLB7Khn65MqVK1vtbJkkV86TL5BYzcSOxtQ8EH3gFo3YLrl9xpmTlsR9yqnZsGsp72oeQ4GOGa1kyZKqbYZSAe7joEO4jjL/qubXOw/EYzspnStVrlxJlZ8tLyJ+IPh7xIgRlrcM+W8Y0BEMER0dPHiwasfg4hn3h289SzAc8GtGEiu66cd/2hVi/FqwYAFVfra8+PDhQ5a/cOHClrcM+W8Y0N977z3W0R07dqh2DDMdgN7zm+0srrkAuljVzcwDUy8SpQ3OQGHZQlX5We2iJ9/TDQN6gQIFGJBhnqqWEF4ZQG//yQqKFU4hTb+imRmERrQNZ0nhBYtS2jRpCOJhLYm7N0cEI6OTYUAHiMuWLWu1f9y91GvRs0S4JbF1N/1EF3/uGRWsJp0rwfurlrRr1y62mA0YMEBLdl3zGAJ0+M4C0EePHm218ZwIdXsNZwcdRszK4hmWrweJTGEpHs4/EhJNDzZPjh/cPpdvJnl8RRQirQk4KFSokNbsuuUzBOgxMTEM6Dh5tJZOnpS8dpRv3pHiTj8RTGb4qp7I1I8LVatL+cpVobF/JAqw2xgDnLrX6T6M8fW+ffussXWq60WLFmVl4ErNyGQI0F9//XXWuatXr1rt2/Xr11meQtVfEtpxNhjMXavYxJOPqFnsx2wMsOrA248IZmm540n+D7fPTcfNZPT6/vvvrfK15Y127dqxMohPaGQyBOj58+dnnbPVMdjrgsEiCpcgoTSTzFDuAray3nEJiTTplET/qPLV2Dh0//p/FCOcgFjdWcLt85sfSZGDP/nkE1usneLe1KlTGX2NdgVtCNADAwMpIiIiRYfV/gQHpafADJlo6iWhHacEort/w766Tk9JvNn9618ZI74x5QvhBMTGzgqTYPcVEq0gOtaa1q9fz+g7Y8YMrUV0yed2oF+7do11rHHjxnYbnCN7dpY37sxTqzOpu5ne3+qHchK26dhNlW7YnPnTx+86PcShqC1eAN2G/3qG0a1jx452eZtn4JFcoCBmZHI70PfulXxga5n1KlaQ3POM2feXiLtmYzWxxYCO3sNqXvGNtxjDjtmLeHdSoMCS9V4VJsM2xgDeYPHBpAgf7o4klDHaks3tQP/yyy8ZMbSEkm322mss7+BfjlP0QaEG6yhoHc0fffBvGr7tHKN5+dc7sENQHDJlCo+kyELFxVmJLaAn3CQEcwBoyzroPSZHjhyUIUMGR+YGl/O6HejclfOZM2fsNrZP796McD2/FWqwjoLWmfw4C8lXviqjOcRFcHo462+ivM9JVobTLouzEqt0TUgkHMilzxxKEWFhdnlbmeGll15iNFdec/dvtwO9du3amjsVHxfH8r79+RqCcb9VItuYaUUZbSf2oG+vlTsZvUNzR1G1jr2oQouOVKVdN8qWR5KSTPlTAN0WP004+YjCCkhycUeACs047ASMDNfkdqBjm4JTdy1p0aJFjAAtJ4sTX1sMpse9KReIshcuwegNplP7IHS1sCS0PnFOOvOEoipUZ7TTwt88z4IFC1iZpUuX8ktu/3Y70NOmTUtFihTR1BGuKttgUKxkly5WbrfsaiYcf0hvfricMVvTsTMJW/RJpx6zD7bzbd5fyO51XbxBBNSwwYM4yISkApPk/fv3NfE4Mm3dupWVmTZtmuYyrmZ0K9DhDBJE0Bo+9ujRoyx/1Q49RHx0Gwzm0ooOpwknHlFIllBGaygn4fSY6bYnJDLLwXcWrGP3WkyaI8JX2xgHTI413pLOlRzZhsMDMnAxZox62GVXQa1W3q1A59puWkPS3LlzhxGgVINmQrRjg8FcATpTdY35kNG55dR5hFN2ZX04ie//UwK7/0K3IcLAyMY4YMJsOGQCo5WaH0Q1wOHa2bNnWRkcVBuV3Ap0KO5j5mrevLnm/iB/3nKVhZNIGwymBKZDv7FiH7nHxiQ4SygB9JZWamx13yfZHRSuVldMuDbGAeHDWk6RxMcLFy7UzOOXLkkKSu3bt9dcxtWMbgU61wJ65513NLcTQM+Wt4AI5GCDwRwCd1I9MFABYw5Yt58aDY+jXqt2Wn3/Rr5msR9R6xkLhfTDxjhg0uyyUHrNmThxomYeT0xMZJPtK6+8ormMqxndCnTIzgFchI/VmkKCgygoazbJnZSwiU6xrXYG4FixYV/+3m8XqcviDdR/bQI7fJt46l+bdY8/+kCA3AbIMRZw+9xnzR7G4z179tTK4nTvnrSrqlGjhuYyrmZ0K9C5+mt0dLTmdhYrUoQRbtSeq0IN1g6j2QM+tuE4MKr4RidGU0y6+OAgrvvy/4k4dy7SF9qbgzZKB8hNmzbVzOM8MpE1j8iaK3Igo1uBzsVlH3zwgeYm1a9XjzHjsK1ChmsPyPbux519Qvkr1EgBcg52fHdfsVWs2i6AHXYB3CDo+XLlNPM4MkIFFjomRiW3Av3bb79lTAYFAa0JUVbBhAM3HCKcANtjZnFfXaED749vf/mjVZCDxuH5C1P8WWEp6CwPjUu4yXg0bXAIhYdl08riLF9YWBgFBQU5VMaVzG4F+hdffMEYbfXq1ZrbCL9y0mrzq3B84MJqA931Wu/0twl00BnKM5Yn784yvj+Wg++4DOGSebVmJieivHnzsrFxpIwred0K9Dlz5rDOrF27VnMbZ8+ezcq0m7WUGQ34I/Po0We8m1dp29Uu0OFAAR5m9HimP9YBhaPsRUs5DNqoqCiHy2gGkUpGtwJ9xYoVrDOLFy9WebT6pR9++IGVaTJ6eiplDn9kJGf7DMuqdh8uY7TEyq32CcmaTcjJXdg1YWzg9rlIrQaMvnfv3lVnapWr8Lik1QZEpbjDl9wK9A0bNjACIDiD1sRDK7/QbSjZEwE5CwK/KJeQyCZK6CSogRzX2n2IXdMDsZq7APa40/9RhSSpxqlTp7SyOWXMmFGTezXNFdrJ6Fagc1/tEyZMsNOM5Ns3btxgjPl8szeF0owLDIjJDIeZY/ZdV7VSg0LMpNP/CZC7SGOchdTtNZLxrC135skcTgTV8ICAAILrZ6OSW4HOfbUPGTLEof5gtSlc/UUBdBeZkIH9wG2CSWr3ZVuoyVGMVzYAABx3SURBVOhp1GbmYhq167KQoetAW9AXh5nNYiXbAS1elAAEWLqBx6tWreoQLlzJ7Fagc1/tXbp0caiNIEJk0VI06fRjseLoxJA4dANT4t1d+GtXF0k680qHOIEdPpbcPmvVF+Gq4Y0aNXIIF65kdivQEVARoG3VqpVDbcwWmpWCQ8Np4ikBdGeYT5TRD8j2aIkJtNuyzYzPhw4dqonPr1y5wvK3bdtWU349MrkV6I8fP2YdatCggUNtLV5Mcs/DTCiF6EfsanTa1dgDrTP3cQ4ycMNhxuftNAL33DnJIWevXr0cwoUrmd0KdO54onLlyg61sVbNmoxwAujGrUzOMLkoc4PZY4ze8xfjV/hH1JIOH5YmBi0u0LXUpyWPW4GOBmDrXrx4cS1tkfO88cYbrNzo3VfE+6SJVzMBdGkihiwdfF6oYEGZh2392LFjB8s/efJkW9l0ved2oEOnN1OmTA41GmatIFyf1bslc1XB7GL7bmIegM+9NAEBFJ5Nm777119Lh3eO2IA4BCCVzG4HOkQIAK0jCU7zUKbT56uFdZWJGVys6NKKDrfYWXLlo6B0gYTXVXtpxAgpzt3+/fvtZdXtvmMIdOKxEK0BtJcvX9ZcetkySXWzxaTZwjmhALrpdzPx54nyPi9Fob19+7ZdPodnGWDi6dOndvPqlcHtQP/4YynmNnTYtSZoGIEQ9QeMk/yaCWY3PbP78+qOoKBlGkvnShcuXLDL5jBogWackcntQN++fTsD7fjx4zX368SJE6xM5bZdhZqmmORMP8nBUrDm2/0Yzx46dMgun2MRK126tN18emZwO9AvXrzICOCIJ1iuUFCsbmPhGEEA3fRAn3DiH2o0Ip7xOeKf20pc/bVly5a2sul+z+1A57L0/Pnza278gwcPGNFyliwn3D4LoJse6PCa22aGFGYJ0YNtJf5a6ojXWFv1ab3ndqCjIbly5WLA1doo5MuUIYSpwU65KAL9+fP7rzf0PfbwXer61UbG4zExMTbZfNasWSzfTz/9ZDOf3jcNAXrDhg1Z56DMrzVlj4xkZUToXqEdZ3awK9Vgu3fvbpPFO3fuzPga0VqMTIYAffjw4axze/bs0dy30qUk9zwTT/wjfJqJ7bupt+9wqx29/xbjcXtBGZ5//nmWz5GgjJpBYyOjIUD//vvvWeccUfmDCR9OJ0fsuCDUYAXQTQ10ONeceFwKP1apYkUbcJNUwvEqa3QyBOg82GK1atU0969rkqJN3zV7KeaQcPts9u2rX7cPQD/5iNIEBFJUvnxWeZwbs2D7bnQyBOjoVGhoKFMS0KIiiPzjxo1jKzpC+MJHuV8zkljRTT/+8G+YKUceyhAcbBXD2NFil4odrtHJMKAjNhU6qVW/l/uEbzNjIQsOKIAuDuXMzAOTTj+h3GUqMh63BuKKFaX7cMhidDIM6Dw8U2xsrKY+whc8JobGIyYTFBLMPMiibWISQiCH4i9KOux4VbVM0GsHP8PNsyeSYUBH59BRrU4oeIDGmp37C0eGYutu+okeHnUrtZYMuNT03bkb8969e3sC52Qo0EuUKGFza6OkAA8WX6ZJK+ENVgDd9EDHYVy9fmMYf8OxhGXiZ05btmyxvGXIf0OBDrfPWNV3795tt3P8pD5/xZoEM0CxPRbbYzPzADzsvj7hU8bfy5cvT8XfFSpU0LzIpSqswwVDgc71fEeOHKmp6ZgUskUVZH7JzTzIom1iEoJk6K253zEwz5gxIxV/g5eNDNhg2QBDgf7w4UNGCESS1JIC0qSh4KzZkmzSRSBAMaGYd0KJOXSH+ny/i/E3XKEpE/cR52ggE2Udrv42FOhobJ06dRgxYL5qL+WPykdp0qajsfskb5uC0c3L6P4+NtEHb9PgX44x3m5lYYLKPco4EpvNHjYcvW840Hm01GHDhtlta80aNRjhhm87S9EHbon3dHEoZ1oeQPQbqGtji17dQgMU1xwx07YLDCcyGA50tBEdz5w5s93mtmndmuUd8PMhFjDQ31cN0X/z7mhg2DL2j+uUJl0Q5cubR+btJUuWMB422v5cbkDSD48AvVOnTqzzamIIZQP5KX3PlduF22exmpt2NWcTcEIi0+DMGJGD8Tbn41JJVphanEbyMu749gjQjx8/zojRrl07m32aOXMmy9dxzkqKPXLf3AMtgOj34xN//hlFFCwmA/3q1avsd9myZW3yuRE3PQJ0dAyB4LGFt5VWrFjB8rw+/mMWCVRsXc27dRVjc4PpexSs8oLM19yIRU2ubovv3XHPNtLc8cSkOuEVFkBfuXKl1af89ttvLM9LfUYRAs4LZhJANzMPQN/9+WZvMp599OgR5cuXTwa9VSY36IbHgM63NfC4YS1xD7KVWnUWbp/Fq4GpJ3ocxs24RlT9rd4M3HFxcey7TZs21tjb0OseAzp6Cd/WWNURXtlawv1idRpR/Nlnph5oM680om3u3QkB5HAQWbaJJCUCz/LPZ599Zo21Db3uUaB/++23jCA4hbeWQLDcZcrTpFP/CaCLVd2UPABPxVHlpZBMHODK72PHjlljb8OuexTo6GW2bNkY2O/cuaPa6fSBgZQ5Z17pMC5BgxpsQiKzX4cNe6rP8YemZBSx4rp3xXUnfaHj3nm+5DtBCW7lb0/4iLMEk8eBvnTpUgb0fv36WbaN/Y/Km5fSpA9iWyM44bM5aAmJNOaPG1S//zjmsAJOK/in0fB4ajh0ovAoK3YFtnnIQfogHFO1DpL3JCW4LX8/efJElb9xET7kmjRpwj6vvfYawWZ99uzZpObAwmoldm54HOhoHyeKWnTJypUqsfvRB26TpH1kffbHe1KXRevl+ni9ym+EuLU5WTg40KIu6+PhD7SR4q71tclz4L9bt26pQvHu3bs2yx44cEC1nKMXTQF0hLEBMdTMV5s1a8bujdl3ncbtt63vDhEcRHGoa/j2czQzkWj61eSPiPri36B0x8Qz+QJR2w8kNVflgqL8nSNHDqu43LBhA+PXdevWpciDGG6oo2TJkimuO/vHFEBH4wMDA1nHLDvCnUoO+PmgXX33yeeJoipIhyIwMrC3A3DHwIs6/WMyAW9NvUj0xuS5lCYgLeNdJbiVv22peo8ZI3mlUYtiVKZMGVVMWGJEy3/TAD0+XopGOWXKlBTtnjBhAutsl4XrKfbIXZvbbmzLQeCIAkWFswrxCmKTV1yZkBFUEcoxRWrVlwG+evVq+bcS5IsXL07Bz5Z/KlWqZDVWevbs2dlhtWUZZ/6bBuhoPCeQsiMLFkhRKltOnWfT7TPsgYduOcnqgNIC3p1cGUxR1j9WZkfGeVzCTRbd952FP8u8yvXYP//8c3YNh8pQef3555+VbGz1N3i+fv36qe5PmzaN1Qe353okUwE9OjqadW7UqFFy3zZulKJUNhwykSaeeGQVvOOPPqA2Mxez8l0W/kwzbxDhnZx/EAjPkUEVeQXQlTwAMVrcmadUpU1XxmMAqNL0VG2RkpnYyg+IlFEOTlPxivrOO++wT5EiRdh1RF7VK5kK6OgUJ9j169dZH48ePcquVe/Ux+YqjRW8xtvS6WdwpiwUkjUbhWQJZR/U2XvVTrvv+MqBFb8F0CUeSKT4c0T9f9pPWXNLuuuREREEvuSpffv2jEc/+OADfknTN1Z+8GZ4eLj84fwP8ZqeyXRA54Eeatasyfr5119/MWKUbtic4s4+tboq4/08R1EpAmvBqi9QvnJV2CdvucqUu3R5eu+3i+JwTry3W+UftYkdMf/AV/UHSDtNgLBHjx4p8IfIQ7juTGCGbt26sbIwgFGm+fPns+sDBgxQXnbpt+mAjt68+OKLrKPYtiOBkAAsTtXVBgQnoBC/IV+ByrXowzvETAbhJpp9zj0TIBcgV+UdNX7CNQRkgIg2T1KYpaD06QmiMMsEF1HgO2f8wcFJatasWS2rZP+hTYd69Ur61aRXi4gI23Z0EiI3pEwZQpgaLGTiagODmbf/2gRW5oVuQ4VJqwC1Kp+o8Y7lNehqTL1E1CLuM8ZP4ENoq6lptn36qeTH3Z4DFWvQQN2vvvqq6u3y5cuz5+sVp82UQEfP+cHc0KFDqWRShBdsv+PPPSOcsCsHaPyxh/RG/FxGmK5fbZTUZQWzp6CRkl7it/r5w4RjD2nC8X+o2AsNZZDbEo8BqPg4k6DxhrLvv/++anHcs6Voo1rIxkXnWmmjQj1v4b2HE5N/5yldnkbu/DPFwRpkmmVeacnyCkUZdSYW4LZOl2Sx2TpKk1ZSfilXrhxZM7QCj3MXzosWLXKK5XHYBp4+d+5civKI24ZAD7inZ3hl0wL9wYMHqUDOwR6YPogdkoz9QzJygdgtc2ROwmn7BIjg7Bm/iNVerPZJPAD7CPg6qJwUIBE8BqcRthJCiiEfxGDOpgYNGrA6wsLCiH+4dijqhlq4nsm0QMe7Cwe22nejYXFsmwVQ472qQMUaVKfHMBFiWUxi2iaxhEQG8EEbj1DmHLkZr2XNmoVOnDhhF1+ZMmVi+a9cuWI3r7UMMTEx1KtXLyY/x0n+u+++S3CvZqnzbq28o9dNC3T4fVcDOL9WtFaDZK8zCYlMJdGWQo3YulrfuvobbRA+CbLxlwdJfgvBU127dtWEHWixIf/YsWM15TdLJtMCnTuk4MC2/C5QqSbNuk0E81V/Y1TRX+cnLYjNhm09Q/nKVWaADQ4KUhWbqQGUq7niRNzbkmmBXq9ePZsrOoBfqWVnGr3nKjNggYhNAMB5APg67bjYrNXUeTJfNWzYUDNeISfni42eDiE0N8DFjKYFui2D/Dx58lBUkitdEL/4i41p4PpDTHMOOsm+zrSif45NaBCZYbtevO4rMlihfeZICg0NZWV///13R4qZJq9pgQ4KHT58mMVo4zOp8vv+/fsE08BCBQvKg5e/Yg1696tNTNYOIxcBCMcA4XP0Skhk2pSd5/1IadMHMT6pUKECORoe6eWXX2Zlve29XDnLmBrovKEw3IfbXMgcN23axIiOGZanbdu2EeSefCLIXrQUdZj9LU27TNqdSorTap+aGCE2g8p0lbbJ1mbwbeBoWrhwIeMrbo7qaHmz5PcKoFsSi2vNNWrUKMWt06dP0wsvSCFxAPr0GTJRq2nzmdUb3EzZc0XlcyuaP05eTALzlL3KZQrPzkCKg13whqPp7Nmz8uKh5s/Q0fo8md8rgQ6CwYYXYO7Tp08q+l26dIlatWolD1KawEDmARZac9Ciw7cAte9t63EgK4nNYuWxh4WYM+nevXtyHTt37nSmClOV8Vqgg4rcwuejjz5SJSre4+Hxg2/p06QJoNpdBzNLN1i1CdGc74Ad/ghG7LxAeZ+TvAanDQhgr3mqjKHhIqzKwDeOHtppqNojWbwa6M+ePaP06dOzAfnmm29sEpD7pOOgRzC8UbsusxUAJ7JihfdO0EcfuMXUodsmeRfC+MLM2ZUEYxLUo+aV2JV6PVnWq4EOwinFcFr8dH3yySeULUlUgsEsVrcR9V2zl2nZCdGcd4EdYjP4Iij5UhN51zZv3jyX8AT3yuALuHXypeT1QMdgHDx4UB5oePzQkmAZVLhwYblcgcq1qevijWx1GH/0vljhzXyQx8Vm89dSYFAwG0NIXawFSdDCD8gDu3OAHFFTfC35BNAxKFzshoHCKq81IQY795+NsqF589Nbc79LEs39QzBhFNt686z0EJvBn3rV9j3kSXrcuHFah9tqPoRBwvh7o3qr1U4pbvgM0NEn7ls7ICCA/v33X0U37f+E+KVu3boy8wQGh1DzSXMITi1w0COCQXgY7EmGS3DSGJxF0lKLjIykixcv2h9cOzkwUQDk2OH5avIpoGOQ8A6OQYNtL4z4HU1wRgnXQKiD1ROcgWASCxk8nFMKWbzxgIerbii/NBiULDaDWaceafDgwWycg4ODVd1F6fEMM9Thc0AHUefMmSMD1dkgddj+DxkyRK4HoK/+Vh8mkmOiOQt3VmJ7754JYOKpxzR6zzXKU6aCPBZbtmzRBTstW0peibJkyeLTIAexfBLo6NiPP/4oM8ZPP/3kEmPwsFB8lS/3Wltm6gjPJDGHbYeJEhOAcxMAxGZYxVvPkFRQQXu1iCbODixXmfbVd3JLuvgs0NFRWBpxcCK0k6sJohs47+d1lqz3GvX5fhdjSCGacw7QahPhhOMPJbFZ/aYyrfVUXClQoACrF37f/CX5NNAxiLCA48CcPn26LuO6Zs0a5i+M15unbEXqsmgDOw1GAD7uy06NicU16xPCOIjNLhDBky+3NoNc+++//9Zl3KBgxR2atGnTRpc6vaUSnwc6BgLePDNkyMAAr9chDurFjqFM6dLyRJIlZ15q/8kKmnyOmO86IZqzDmrLCQ87IrwKVX2zu0xP+FXTK0HGzifmQYMG6VWt19TjF0Dno5E7t+QEsGrVqvySLt8wn+U2y2CmoMxZWQAAMK8QzdkBe5LYrN/aPyhDaDgDI8IFnz9/XpexQSVQj+Ygh7mzPya/AjoGGDHd+KBr1aLTyhiwmuvcubNcP2Tx9fqOYd5NhGguNeAhNkNss5eHTJBp1qVLF63k1pSvY8eOct3u8rCqqSEezuR3QAe9EfWSg13P7SEfSyjr9O/fX34GnoWY7ThJliLNCP928A8wdt91ylm8rEyn7du3cxK6/I33eh4XLV++fHTz5k2X6/TmCvwS6BgwbLe55Ru28jiocUfCAWC6wECZmcs370BDN5+UjGj8UDTHxWatpi2QaYJgBnqmVatWyXXreSajZxuNrstvgc4JDS81WHGhNrtv3z5+WfdviOZyJ0XIxPOK1m5APVfuYFtXfxHNQZ0YJsEl6yWLzfQQeyoHq1OnTjLI7ZkuK8v5+m+/BzoGeNq0aTJzjBkzxq1jDkWePEmHggB8rpLlmNXctCtEzGrOB8NJQfqAd/Huy7ZQmrTS7gbxxeDFRa9048YN4oetsCfXs2692ujJegTQk6j/559/UtqkAHsZM2YkvQ/qLAf50KFDVKGCFBoXgM8UkYM6zlkp+bc78chnjGiY5OH0f1Sl3bvyZIrQQ3qmAQMGyHUjvJFIqSkggG5Bk+7dk+W4zZo1I3c76z927JhsBw3Ah4SG06tjZ7LVHVFFvNlqLu7MU4K1GSYx9A1iM2ecNFoMkfwX1oowRkHd4eHh9Ouvv8r3xI+UFBBAT0kP9g/gQ6RMMBA+CHjv7gSrOaUoCJph9fqOptij9yWrOS9yaAmxGVxtvzw4ObaZnmIzbMsrVZJ8w2F89LBHd/f4erp+AXQbI4DY1xzsOXPm1HU1svFYGj16tPxcPL96pz7MoSVWSLP7t4PYbNTuqxRZqLjcBz2jm8CPGx+T6tWri3dxW4ykuCeAriCGtZ+tW7eWmQu+xPTSvbb2PH596tSplDkpRC+Y+7kmrWngzwcJZrLwtGKpRurJ/3ChDT311tPny7SCtqBeaePGjRQUJEVbwRmKPyu/OENTAXSNVINxDGK+8dWkffv2hgEeIqjwsDD52UVq1qOeK7czIxoziOYgNkM7lLHNlixZopGytrMtX76coPDC6T506FDbBcRdVQoIoKuSxfrFZcuWpYgH17x5c5edElp/Wso7mzdvlrW9wPiRRUpS9+VbaMpFYi6vxhosmoPYDDbj3ZZtloGIs41Hjx6lbLgT/zBRZFLsZuAkAn76RXKOAgLoztGNObZQrvDwHKrnibKtZu3Zs4fwfspXuSw58lCbmYto4olHJIWecr9DSy42q9qum9wOZ2KbWfZT6R0I/evatSv9888/ltnEfwcpIIDuIMEss69fv55KK0xVa9WqRbt27bLM5pb/J0+eZK6JOeAzZougV8e+z07qmWjOTR5s488+pf5rEyhzZE4GcjhpPHPmjNN9xA4ASktcVIb+QDbuiDdfpx/uJwUF0HUaaKyy3Pk/GBUhfXB6bsR2E2GAoSjCAY/vev3G0KQzT1isOb1CT0UfvE3Tr6UUm7kS6ACT5EsvvZSi3aCZu+wOdBpqr6xGAF3nYcP2nTsd5MCDuid03Z88eaLz01JXN3z48BTAqfJmdxq54zyTxbsimmNis12XKaJgMbl+TG6OJugoIPAhpw2+8+bNSx9++KGjVYn8DlBAAN0BYjmaFUYVyjDOYGq8y2Mlc3eC1VxISIgMKIjm+v+UwERg6oBPZCfn8NemdHgJ99bQU285+Qu5rsaNGzvUfCgD4f0dmnEc4GFhYQRPL3j9EMn9FBBAdz+NmVLH+++/n0I8B4ZHwAhEgnXG/7zWZq9YsYLCsmWTAZa/Yk3q9+M+mn6FGLBxUg9jGoQb7vTFamo65n3qtmwLTb1ENPHkI3bAV7T2y3J5iLu0JEgIevXqJRuacIC3aNGCEB1HJGMpIIBuLL3p8uXL1LdvX4LSB2d+/o3VHlt8V2OIqXUJIauKKtR6sQXvPP8nBuiuSzZS2nRSVFreltDcUew+/1+ieHF6+vSpWtXsGrTfRowYwbbhvAz/rlChAnPnZLWwuOF2Cgigu53E1h+ALe3SpUsJmncwyuDAwDe8lcJTKd5dt23bxiYIPQxsYHNfrVo1+VmRhZLfuZXPV/5W+lmDVuDx48cZcEeNGkUVK1aU6+Jl4DMd5r579+613nlxx1AKCKAbSm7bD7ty5QrBfzm2t3CEwYGj/M6VKxc1bNiQcOiGSQKRZJ1RUIFhSL9+/VSfoXwefxbAmzlzZtX8pUqVomHDhtHOnTsdjnlnmyLirl4UEEDXi5JuqAfOFBBlBgdZAH/BggVVgaYEJn4DkFFRUQRw1qlTh15//XXmtBKHX4gaithyMMFFmGBrE4plnfifLl06thtAHV9++SU5c+ruBjKJKjVQQABdA5HMlgWKJLt37ybowON9H2AuW7Ys0wmH8gpiiQGUamB19Br86eEVQyTvpoAAunePn83WQ3UU79TXrl1jzjAhw4Y4C6GGsVtAwspuC/yQCojk/RQQQPf+MXSpB3hXtwZ0HBCK5BsUEED3jXF0qRdXr15NYQoK4CPQBfzTi+QbFBBA941x1KUXEL3BoQPEZyL5FgUE0H1rPEVvBAVUKSCArkoWcdGSAghpBJk9PsJ81JI65v8vgG7+MfJoC+fOnUuhoaGpDuwgf4cuu0jeQQEBdO8YJ4+0krtUhqLO119/zZxLYEWH9l6JEiVYIEmPNEw81GEKCKA7TDL/KFCjRg22is+cOdM/OuzjvRRA9/EBdqZ7sKCDiG3IkCHOFBdlTEgBAXQTDoqnmxQREcGA7ul2iOfrRwEBdP1o6RM1QYderOY+MZQpOiGAnoIc4g/syAH0I0eOpCAGdObhvGLr1q0smOEvv/wiNOdSUMjcfwTQzT0+hreufv36qtt2eI/BBKD8GOHh1nAC+OgDBdB9dGCd7RbMUgFmywTnFjyQAu4XK1bMMov4b2IKpB5REzdWNM39FLAGdP5kgB1AR4AFkbyHAgLo3jNWhrSUx2iHYoxagtELgL5q1Sq12+KaSSkggG7SgfFUs3799VcGZGtb87Fjx7L7iYmJnmqieK4TFBBAd4Jovl4E3mexaufOnZsFk0RcNXimgY94uKnCPZG8iwJixLxrvAxrbUxMDAM0QK38wB99dHS0Ye0QD9KHAgLo+tDRJ2tBsEMEnIBf+bNnzxJMVUXyTgoIoHvnuIlWCwo4RAEBdIfIJTILCngnBQTQvXPcRKsFBRyigAC6Q+QSmQUFvJMCAujeOW6i1YICDlFAAN0hconMggLeSQEBdO8cN9FqQQGHKPB/zHPmKCqJ0ZcAAAAASUVORK5CYII=[/img][br]Explain how to construct a regular 12-sided polygon inscribed in the circle centered at [math]A[/math] using [i]digital construction tools[/i].
– GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

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