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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[/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.
IM Geo.1.6. Practice: Construction Techniques 4: Parallel and Perpendicular Lines
Which of the following constructions would help to construct a line passing through point [math]C[/math] that is perpendicular to the line [math]AB[/math]?[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAn4AAAC+CAYAAACrpwL9AAAR7klEQVR4Ae3dv2tdZRgH8EwuDul/0E5u2iyuNgqCmy4OKpiACHVqoWAR1Nbd0giC6BIHcXDJJAgO7eJkoYKDDkKgtCgoZnHy15E3+IaT9P44Se4973vO87lwSZqce9/3+Tyvx+89596TlcaNAAECBAgQIEAghMBKiCoVSYAAAQIECBAg0Ah+FgEBAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokQIAAAQIECAh+1gABAgQIECBAIIiA4Bek0cokcBqB7e3t5vLly836+vrBPf17a2ur2d3dPc1TeywBAgQI9Cgg+PWIbSgCQxO4du1ac+bMmWZlZWXm/dKlS0MrzXwJECAQUkDwC9l2RROYLZCO4q2trR0KexcuXGhSwEthMN03Njaas2fP7m9z69at2U/otwQIECBQhYDgV0UbTIJAPQJ7e3uHjvKlgDfrdK7QV0/vzIQAAQLzBAS/eUJ+TyCYwPnz5w+O9KX39rkRIECAwHgEBL/x9FIlBE4tkE7h5vfz3bx589TP5wkIECBAoC4Bwa+ufpgNgWIC6XRu/iBHOurnRoAAAQLjExD8xtdTFRE4kUD64EY+2ud9eyci9CACBAhULyD4Vd8iEyTQj8Dq6up+8HO0rx9voxAgQKCEgOBXQt2YBCoTuHv37sHRPtfkq6w5pkOAAIEFCgh+C8T0VASGKtD+UEcKgW4ECBAgME4BwW+cfVUVgWMJpGv15ff3HeuBNiZAgACBQQkIfoNql8kSWI5A+qscgt9ybD0rAQIEahIQ/GrqhrkQKCSQg1/6E2xuBAgQIDBeAcFvvL1VGYHOAjn4nTt3rvNjbEiAAAECwxMQ/IbXMzMmsHCBHPzS6V43AgQIEBivgL38eHurMgKdBdqf6t3Z2en8OBsSIECAwLAEBL9h9ctsCSxFoH0dv7W1taWM4UkJECBAoLyA4Fe+B2ZAoAqB9unezc3NKuZkEgQIECCwWAHBb7Geno3AYAX29vaa/Gfb0nv90gc9rl+/3ty+fXv//umnn+7/e319vUkh0Y0AAQIEhicg+A2vZ2ZMYGkCu7u7TfpbvfmaftO+Cn5La4EnJkCAwFIFBL+l8npyAsMU2N7ebtJf82if/k2BMP07fRDEn3UbZl/NmgABAoKfNUCAAAECBAgQCCIg+AVptDIJECBAgAABAoKfNUCAAAECBAgQCCIg+AVptDIJECBAgAABAoKfNUCAAAECBAgQCCIg+AVptDLHL3Dnzp3mvffea15++eVma2uruXfv3viLViEBAgQIHEtA8DsWl40J1Cdw//795sUXX5x47b0rV67UN2EzIkCAAIFiAoJfMXoDE1iMwFNPPTUx9OWLL7/55puLGcizECBAgMDgBQS/wbdQAZEFdnZ2Zoa+HP4ePHgQmUntBAgQIPC/gOBnKRAYsMArr7zSKfh9+OGHA67S1AkQIEBgUQKC36IkPQ+BAgKPPfZYp+C3ublZYHaGJECAAIHaBAS/2jpiPgSOITDtQx35FG/+euPGjWM8q00JECBAYKwCgt9YO6uuEAKff/55pyN+P/30UwgPRRIgQIDAbAHBb7aP3xKoXmBtbW1m+HvjjTeqr8EECRAgQKAfAcGvH2ejEFiawHfffdc8+eSTE8PfxsZG8+effy5tbE9MgAABAsMSEPyG1S+zJTBV4Msvv2wuXrzYPP30083Vq1ebb7/9duq2fkGAAAECMQUEv5h9VzUBAgQIECAQUEDwC9h0JRMgQIAAAQIxBQS/mH1XNQECBAgQIBBQQPAL2HQlEyBAgAABAjEFBL+YfVc1AQIECBAgEFBA8AvYdCUTIECAAAECMQUEv5h9VzUBAgQIECAQUEDwC9h0JRMgQIAAAQIxBQS/mH1XNQECBAgQIBBQQPAL2HQlEyBAgAABAjEFBL+YfVc1AQIECBAgEFBA8AvYdCUTIECAAAECMQUEv5h9VzUBAgQIECAQUEDwC9h0JRMgQIAAAQIxBQS/mH1XNQECBAgQIBBQQPAL2HQlEyBAgAABAjEFBL+YfVc1AQIECBAgEFBA8AvYdCUTIECAAAECMQUEv5h9VzUBAgQIECAQUEDwC9h0JRMgQIAAAQIxBQS/mH1XNQECBAgQIBBQQPAL2HQlEyBAgAABAjEFBL+YfVc1AQIECBAgEFBA8AvYdCUTIECAAAECMQUEv5h9VzUBAgQIECAQUEDwC9h0JRMgQIAAAQIxBQS/mH1XNQECBAgQIBBQQPAL2HQlEyBAgAABAjEFBL+YfVc1AQIECBAgEFBA8AvYdCUTIECAAAECMQUEv5h9VzUBAgQIECAQUEDwC9h0JRMgQIAAAQIxBQS/mH1XNQECBAgQIBBQQPAL2HQlEyBAgAABAjEFBL+YfVc1AQIECBAgEFBA8AvYdCUTIECAAAECMQUEv5h9VzUBAgQIECAQUEDwC9h0JRMgQIAAAQIxBQS/mH0PXfXu7m6zvr6+f7927VpoC8UTIFC3wKVLlw72V3m/lb++8MILzdbWVpP2aW4EugoIfl2lbDcagY2NjWZlZWX/fuHChdHUpRACBMYncPbs2YP9Vd5vTfp6+fLl8RWvoqUICH5LYfWktQrcvXv30E703LlztU7VvAgQCC6QjuTlkJeO/N26dWv/vr293aSzFe0XsWm7mzdvBhdTfhcBwa+Lkm1GI5CO8KUd5Pnz5w92qKMpTiEECIxKYGdn52A/lV60Trqln6+uru5v54XsJCE/Oyog+B0V8e/RCqRXy/nVc3rFnL/3/pjRtlxhBAYtkI7q5f3UrELaR/5mbed3BJKA4GcdhBHI75VJO8n9xf//+/xSIHQjQIBAbQL5DMW89yJ3DYi11Wc+ZQQEvzLuRu1ZYNIRvvxKOv3OjQABArUJ5H1Uen/frFs+4pde3LoRmCcg+M0T8vvBC+zt7TXpvS9pJ5qP9qWi8hFAl3QZfIsVQGB0Au0PoqX3+k27tbezL5um5OdtAcGvreH7UQrk0yDpDdApBOZbPo3SDoP5d74SIECgpMCksxRH55O2OXPmzP6L2vSBNTcCXQQEvy5KthmsQAp6ecd49NXw888/v7/DnPf+mcEWb+IECAxWIJ3ezad68wWb89e1tbWD36UXtPNOBQ8WwcSXIiD4LYXVk9YikN/7cvRoX5pfPhLoEgi1dMs8CBDIAu1LTuUAePRr+ssd7bMY+bG+EpglIPjN0vG7QQu0L3569GhfKixd7DTvSAddqMkTIDA6gbxvSmck0v6rfU9H+PK1+9IZjWnX+BsdioIWIiD4LYTRk9QokE/lph3o9evXH7pvbm4eBD87zho7aE4EYgq0rzk67XJT6Uhffp9yCn+uRxpzrZykasHvJGoeU71Ae8eZXznP+jpt51p9oSZIgMDoBLqejZh3VmN0MApaiIDgtxBGT1KbQH4lnE6HpO+n3XMY9Dcua+ug+RCIK5DPVnT5pG4+5Zv2cW4EuggIfl2UbDMogfZlEOYdycvBb9J7AAdVtMkSIDAagXyN0S6Xmsr7MMFvNO1feiGC39KJDdC3QN5pdtkRpm3SjjO9wnYjQIBAaYH03r0c5ub9VaH2qV6XdCndueGML/gNp1dm2kGg/d6YeUf70tPl4NclJHYY3iYECBA4lUD6Kx05+M370Fk+JZy2n7ftqSblwaMSEPxG1c7YxbQv1tw1yKVTvGmnmT4V50aAAIHSAnmflPZL024p5KWLOeeA6GjfNCk/nyQwfWVN2trPCFQs0N5hdn31235MxaWZGgECQQTyWYj0YjT/pY721/TzHPjS1y7vAwxCp8yOAoJfRyib1S3Qfq/LcXaE7cu+dA2LdUuYHQECQxbIn9Jth7tJ36eAmE4LuxE4roDgd1wx21cpkAJcOnqX7se5kGna9iSPqxLBpAgQGLxA3h8d/Zrev5z2c13euzx4BAUsVUDwWyqvJydAgAABAgQI1CMg+NXTCzMhQIAAAQIECCxVQPBbKq8nJ0CAAAECBAjUIyD41dMLMyFAgAABAgQILFVA8Fsqryc/rcAvv/zSfPXVV83PP/982qfyeAIECPQqcOfOnSbd3QjUJCD41dQNczkQ+Prrr5vnnnvu0PWqnn322f0QeLCRbwgQIFCZwN9//9288847h/Zd6XIsb7/9dpN+50agtIDgV7oDxn9I4KOPPnpop9m+jtUHH3zw0GP8gAABAqUF/v333+aJJ56Yuv96/PHHm3/++af0NI0fXEDwC74Aaiv/jz/+mLrTbIe/33//vbapmw8BAsEF0rX32vupSd+/++67wZWUX1pgIcHvm2++aba3t90ZnHoNvPrqq3N3nGln+tJLL516LGvWf7PWgDWwyDUwKehN+tkix/RcsdfwSULkwoLfpMXtZyudQgwnTtaANWANWAPWgDVwnDXwzDPPnCT3NYLfioV2nIVmW+vFGrAGrAFrwBoovwaKB7/bt2837gxOuwbeeuutTkdJr1y5Yr35b84asAaqWgNdw9Bp95Me7/+1eQ2c5JDfQo74nWRgjyEwTeDRRx+dGf4eeeSR5q+//pr2cD8nQIBAEYEbN27M3HelYPj+++8XmZtBCWQBwS9L+FqNwBdffDFz5/nZZ59VM1cTIUCAQFsgXW902pG/9Ds3AqUFBL/SHTD+RIEffvihef311w/tQF977bXm+++/n7i9HxIgQKAWgU8++aRZXV092H+l7z/++ONapmcewQUEv+ALYAjl//jjj0OYpjkSIEDgkMBvv/3W/Prrr4d+5h8ESgsIfqU7YHwCBAgQIECAQE8Cgl9P0IYhQIAAAQIECJQWEPxKd8D4BAgQIECAAIGeBAS/nqANQ4AAAQIECBAoLSD4le6A8QkQIECAAAECPQkIfj1BG4YAAQIECBAgUFpA8CvdAeMTIECAAAECBHoSEPx6gjYMAQIECBAgQKC0gOBXugPGJ0CAAAECBAj0JCD49QRtGAIECBAgQIBAaQHBr3QHjE+AAAECBAgQ6ElA8OsJ2jAECBAgQIAAgdICgl/pDhifAAECBAgQINCTgODXE7RhCBAgQIAAAQKlBQS/0h0wPgECBAgQIECgJwHBrydowxAgQIAAAQIESgsIfqU7YHwCBAgQIECAQE8Cgl9P0IYhQIAAAQIECJQWEPxKd8D4BAgQIECAAIGeBAS/nqANQ4AAAQIECBAoLSD4le6A8QkQIECAAAECPQkIfj1BG4YAAQIECBAgUFpA8CvdAeMTIECAAAECBHoSEPx6gjYMAQIECBAgQKC0gOBXugPGJ0CAAAECBAj0JCD49QRtGAIECBAgQIBAaQHBr3QHjE+AAAECBAgQ6ElA8OsJ2jAECBAgQIAAgdICgl/pDhifAAECBAgQINCTgODXE7RhCBAgQIAAAQKlBQS/0h0wPgECBAgQIECgJwHBrydowxAgQIAAAQIESgsIfqU7YHwCBAgQIECAQE8Cgl9P0IYhQIAAAQIECJQWEPxKd8D4BAgQIECAAIGeBAS/nqANQ4AAAQIECBAoLSD4le6A8QkQIECAAAECPQkIfj1BG4YAAQIECBAgUFpA8CvdAeMTIECAAAECBHoSEPx6gjYMAQIECBAgQKC0gOBXugPGJ0CAAAECBAj0JCD49QRtGAIECBAgQIBAaQHBr3QHjE+AAAECBAgQ6EngPzzSBBlE5h5+AAAAAElFTkSuQmCC[/img]
[size=150]Two distinct lines, [math]l[/math] and [math]m[/math], are each perpendicular to the same line [math]n[/math].[/size][br]Select [b]all[/b] the true statements.
This diagram is a straightedge and compass construction of the bisector of angle BAC.
Only angle [math]BAC[/math] is given. Explain the steps of the construction in order. Include a step for each new circle, line, and point.[br][br][img]data:image/png;base64,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[/img]
This diagram is a straightedge and compass construction of a line perpendicular to line AV passing through point C.
Which segment has the same length as segment [math]EA[/math]?[br][img]data:image/png;base64,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[/img]
This diagram is a straightedge and compass construction. Which triangle is equilateral? Explain how you know.
[img]data:image/png;base64,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[/img]
In the construction, A is the center of one circle, and B is the center of the other. Name the segments in the diagram that have the same length as segment AB.
This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other.
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Hi3bt30rkNsMm1bwiI2ysl0A2xRJoPbrvXk+U2YMEE7PAwoBiWBEVuPHj10M0D6N4KquuzSffDBB7Ux+RGCKLuc/3d1mMSGDdIkxSZF3ECA7gHmTm7YsCEQhQIhNsPI0gQNpM6yTpQHe//991dnnnlm1vf6dUOYxEYZTJMU2xQJH4E1a9aogw46SPXt2zcQZXwnNvpx9tlnH2mCBlJduSVKxA4m4X7yySe5JeDDXWETG0WgSYptYqMi4SMwY8YM3Yrg6Lf4TmydO3eWJqjftZRHesxTY4idpmiY4gKxmSYpNiriBgKEOWKiuN8rX3wlNjOVQJqgbhjNt99+q+dxhbFWLxEBF4gNnUyTFFsVCR8B9gpu2LChymejoGSl8I3YPvroI1WpUiVpgiZDOaT/2BiHjY3ZDzRscYXYwAGix1axWZHwETCBGPwKQ0+JfCO2M844Q5qg4dvIDg2efPJJ3QSdNWvWjv/C/OISsZkmKTYr4gYCrO9lzxO/NnLyhdhY/0U/jjRB3TCS7du3q8aNG6ugJ0FmU1qXiA29TZPU1trFbLAqjteyidOJJ56oiNXoh/hCbDxE7du390MfScMHBOg/qlatmlq3bp0PqfmThGvERqmwWWxXxA0ETJN08eLFeSuUN7EZb01CxORdF74k8PPPP+uJj7bXgmZS3kViMw+SeG2Zas/eeV42fnhteRObeGv2Kt1LToSHcc1bQ28XiQ29xGvzYlX2rjEvm3y9tryITbw1exXuJadNmzbpDljXvDV0d5XYzIMkXpsXC7NzjR9eW17EJt6anYr2msvQoUOd9NbQ31ViQzfx2rxamJ3rzMsmH68tZ2ITb81OJXvNZe3atXrZlIveGmVwmdjMgyRem1drC/66fL22nIlNvLXgKzebHJgH5GLfmimDy8SGjuK1mZpy42heNrl6bTkRm3hrblS+0YI4Y+w25aq3hp6uE5t5kMRrM1YV/jEfry0nYhNvLfxKj9eA7Qxd9tbQ1XViQ0fx2uKtKvzv5mWTi9eWNbGJtxZ+hcdrsHTpUlWmTBmnvTX0jQKxmQdJvLZ4Cwv3e65eW9bEJt5auBWdmPvFF1/svLeGzlEgNvQUry3RwsL9bV422XptWRHbCy+8oNeEkplI+Aiw00/FihWd99ZAKirEZh4ksfHw7dtocOqpp6ohQ4aYn56OWREbi6oJCifiBgImiOR7773nhkJptIgKsVGEunXr+rKsJw0ccioLBFj73KBBgyzuyDJs0cEHH6zoqBZxA4Gzzz5bb0TthjbptYgSsZmpMz/99FP6QslZKwh8+eWXqlSpUuqVV17xnJ9nj800Q+fNm+c5cbkwOARMM/TWW28NLhMfU44SsS1cuFB3uQQRi99HSItVUvR9ZuNUeSY2mqG46CJuIGCaoUuWLHFDoQxaRInYKEqzZs1U9+7dM5RKTttCYPz48XpXK+K2eRHPxEYz9KqrrvKSplxjAQGaoQTmi4pEjdiIklK+fHmnYtpFpa6D0JMlg2XLllWzZ8/2lLwnYjPN0Ndff91TonJRsAiYZugdd9wRbEY+ph41YluxYoVujsqcNh+NIM+k2Bf3ggsu8JSKJ2KjGVq/fn1PCcpFwSNgmqFR2owkasRGLXbo0EHPawu+RiUHLwhMnDhRValSRf3www8ZL/dEbDRDGSkScQMBmqEtW7Z0QxmPWkSR2HiQ2Mvjs88+81hKuSxIBP7zn/+ocuXKqenTp2fMJiOxmWboW2+9lTExuSB4BEwz9O677w4+Mx9ziCKxbdiwQVWoUEHdddddPiIhSeWDQJcuXRSfTJKR2GiGsoxKxA0ETDP0008/dUMhj1pEkdgo2rnnnqtOOukkj6WUy4JGYMqUKWr33XdXDCakk4zERjP0hhtuSJeGnLOIAM3Qtm3bWszRn6yiSmxmf9Zs1yr6g5qkkojAxo0b1V577aXGjRuXeGqn32mJbe7cubqPgQmLIuEjsHXrVr02dMyYMeErk6UGUSW2P//8U8+fcjnWXZZVEfnLe/TooVg/mk7SEhtzeWRtaDr47J6bP3++ftFEaTTUIBRVYkP/c845R3Xs2NEURY4hI4C3VrlyZfXXX3+l1CQtsdHs6datW8qb5YRdBO677z51wAEH2M3Up9yiTGzMF9x///19QkKSyRcBBjIZrV60aFHKpNISG0uoRowYkfJmOWEXATaSZZJiFCXKxPb888/rB2n58uVRhL7gdCY4AcFVH3jggZRlS0ls33zzja7M1157LeXNcsIuAkcffbSKyqL3RGSiTGzr1q3Tz4KX+VOJ5ZbfwSDATI1+/fqlTDwlsfGWKlGihNqyZUvKm+WEPQSYbY37/eKLL9rL1MecokxswEBf8xVXXOEjIpJUPgj07t1bNW3aNGUSKYlt+PDh6phjjkl5o5ywi8Abb7yhiY1Jo1GUqBNbp06dVIsWLaIIfUHqzAR1FsX//vvvScuXktjoy2FyrogbCDDF48gjj3RDmRy0iDqxMd2DVQgibiBAQA5aMAsWLEiqUEpiq1Gjhpo2bVrSm+RP+wgw5cBrZAP72mXOMerEZvZCYFcwkfARYAABYks1pzMpsa1evVrftGzZsvBLIBpoBOjjiXIInagTmxlAeOihh8QiHUGAWRs9e/ZMqk1SYiOYG8sWRNxAYNOmTfpFE5VouclQizqxUab99tsv7UhcsnLLf8EhQITjVFG9kxIbIYratGkTnEaSclYIsLStdOnSGe9h8m7z5s0zXhfGBV6Ijdn9NC+SBTRlVJiXLee9xOMKoozE3WfKTSa56aabtJ7ois4sovca+TVT2nL+/xEg6goY//zzz///Z+xbUmJr1apV1vv4FUlZ/vANgWHDhqkTTjghbXqTJ09We+65Z9bblKVN1MeTXogNYsZQKUuiEGWD8oW58oIBBHZLyiS8XNAXguYzatQoXa5khJ0pLTmfGgHwxF6YMZAoSYmNWO/PPvts4rXyOyQE8BTSzaHCg6lZs6YynkJIaqbNNhOxmXl6lIFPvHz11Vea1CALPmGJGUDIFOkDAk700IhAnViusMpRKPmaAYRk8fKKENuPP/6oWTAKm/AWSgVlKgfNHwISpBIeGLwEQw5hNdVS6cf/mYgNIsAboyyJ5EUT1ZQR7ycsoY8TD2HOnDkpVYCEuYajEVMv4rEZRPw7/v3vf0+6yVQRYmNzUipGwiH7B36+KaUbEeWhoR/HPDTUnfmeb75+3p+J2CAuCAzd4/sJ+Q3huUAOa9as0c9Guv1GIWjqgOYRH5qveNMDBw70E05JK4ZArVq1FGuoE6UIseGpUTHr169PvFZ+h4RA1apV1cyZM5PmzgMTTwQ0eRKbQUlvtPxnJmKjDJAbRAYRGOF/+tz4H7sMU+ikRocJEyakVIP6gIjRmw/f2ejXRS86ZSEidILWTLIIREUshbWIVN4vv/wSoeIVtqqEQmbviUQxzR6IgJE3PnhvEIRrkonY6JeCvBBDYBC02R2NJqj5HmbZWMZDWVKJIej48+id2LyOPy/fc0fglFNOSRp0sgixEVN/1113zT0nudNXBP744w/9oBNkMlF4WEzzDVLgw28Xmz3piM0QtCkfJMd/eDuG7CirC+TAipzrr7/eqFrkCCkbnc1J0z9ofsvRPwSIGXn88ccXSbAIsY0ePVpVqlSpyIXyRzgIbN68WRNbYtRcHh4eovhOajR09SFKR2w0NeO9MbweSIyjEUguzIEDowd6DhgwwPzc6fjBBx/oOklsdnKPiy+bnZSP6A9wTbaGugixsXELHXIibiBgBnPouI4X8/DH/8d3SCK+jyrxfFi/0xEbxhnvjeF1xpO2GTiAOMIW9nPt1atXUjUgXrA3AwfsqET3AB5oItklTUD+zBqBoUOHJo1uXITY+vfv7+wkz6xLXQA3JPMC+A9iS/TWKK4551rRMxFb/KRcvsf3E7pUps6dO6fc/wBio17MB4LmPyG14KyRcPn0KydKEWLr2rXrTk2AxBvkt10EePvjvaTbuMKuRrnllo7YcksxnLuI2ipx2cLBPlmus2bN0gFxE88VITaWUzHTXcQNBFgBwkqQqEuhENuQIUNkA3GHjPGVV17RL35WIcRLEWJr0KCBYqRBJHwEiJZLHDb6aFauXBm+QjlqwN6cBC4lUGO6nYVyTN7qbTwbFStWVDxQIuEjYLpqvv76652UKUJshGahn00kXATYTKd69er6bURTlCk47777brhK5Zg7kygpg/k8/vjjOaYU7m2nn376jjJQlpEjR4arkOSu1q5dq+vkk08+2QmNIsTGZNDBgwfvdJH8sI8Au1EZIjDHevXqqUGDBkXq065duyLlYI/OqJUDz9nUgzkyBUUkXARYSEB9vP322zspUoTYdtttNyG2nSAK5wcvF/MAmSPzC4899thIfZg6ZPQ3xz322CNSZQDzOnXqFClHIfR9hmPd/uX666+/eiM2ZlZLU9Q/4HNNaeHChUUepCeeeCLX5EK7jzXHEIAhNY7JwsyEpmAWGROtNb4cstlRFuAFdCl9a9RJ4jYGRTw2ZknjdouEjwDrQ5s0aaLwotNFlAhf0/QaEFiBDW4pB/OOoirMG2T5DuVge0qR8BH48MMPNbFlHDxgZnWHDh3C11g00Ag888wziphTUZdCme7BypxGjRpFvToKRv9XX31VExtxJOOliMfGzGqWgYi4gYBZE+qGNrlrUSjERjeNPB+524Hfdz722GOa2BLTLUJsffv2lTdSIkoh/n7//feTvpFCVCmnrAuF2FiZIy2anEwgkJvGjx+ftEVThNgIyXLQQQcFooQkmj0CX3zxRdI+hOxTCveOQiG21q1bSx90uKa0U+5Mi2LAM1GKEBuTDitXrpx4nfwOCYGNGzdqYksc9QlJnZyzLRRio39NZg3kbAa+33j55Zcn3Vu0CLFNnTpVlSlTxncFJMHcENi2bZsmtsQJiLmlFt5dhUJsTMqVCezh2VFizoSQatq0aeLfqgixmS3GeKBE3ECAF81LL73khjI5alEoxFauXDl1++2354iC3OY3Aqxsadu2bZFkixAbngET3mgCibiBAF0DjP5EWQqB2Iz3HOW5eFG2oWS6460xkyNRihAb2+5BbHRai7iBAIM5EydOdEOZHLUoBGJbt26dfjamT5+eIwpym98IsDXlBRdcUCTZIsRmYuwzzUDEDQTosI56JIlCIDb2neClz6RpETcQYP00AwiJUoTYuIDKS9xpJ/FG+W0PASaEsvFulKUQiM1MlpZnwx1LhKuSPRtJiY31iRiiiBsIXH311eof//iHG8rkqEUhEBuL93mQtm7dmiMKcpufCCxevFjXBwOeiZKU2NherFOnTonXyu+QECCqx9577x1S7v5kWwjE1r17d1W7dm1/AJFU8kbg/vvv18RGBJlESUps06ZNU0TSFXEDAaJK4ClEOTx4IRAbpCaRb9x4JtCiT58+elPtZBolJTZmufMgJe5lmSwB+c8OAvvuu6+aOXOmncwCyCXqxMZmITwTbCgu4gYCdJkRrj2ZJCU2LmQDkdmzZye7R/4LAQEWXicb/QlBlZyyjDqxmYGD+fPn51R+ucl/BIiLx1rRZJKS2E4++WTFgngRNxCgAglyGFWJOrExcLDLLrsoWZHjhgWagYNUK3JSEtt1112nIDcRNxCYM2eO3qmKGO9RlKgTG2sS2W1LxA0EzMAB826TSUpie/TRR3VzdPv27cnuk/8sI2Biu7/11luWc/Ynu6gTW8OGDXVntT9oSCr5InDJJZeoI444ImUyKYltxYoVurOUePUibiBw2GGHqTFjxrihTJZaRJnYGDigGUpQQxE3EGjevLnq2bNnSmVSEht3MOVjwoQJKW+WE3YR6NGjh6JJFEWJMrG98cYb+iUf1Q2ro2gvmXSuWLFi2mWGaYmtY8eO6qKLLsqUh5y3hADkkM79tqRGTtlEmdjuvfdexYMk3TI5Vb3vNy1ZskS/aNItbUtLbDfeeKPeNs13zSTBnBBgBIi5VEzYjZpEmdguvvhi1WsXdhUAABSeSURBVKpVq6hBXrD6EgyXqR6JO1PFFzgtsT311FP6QYryjPf4wkb9O0tHILYohs2JMrExEfTKK6+MuvkUjP5sVH3cccelLU9aYvv+++/1GkWZbZ0WQ6snWQzPmsWoSVSJzfSvzZs3L2qQF6S+dAcQnzDVxFxT6LTExkV0Vrdp08ZcL8eQEaC/h1UhGzZsCFmT7LKPKrHhqTVo0CC7wsrVgSFgti4gNl46yUhss2bN0s2f5cuXp0tHzllCYNWqVXrqweTJky3l6E82USQ2vINDDjlEsfu7iBsI9OvXL+keB4naZSQ25vBUrVpVjRgxIvFe+R0SAqwbTRbnPSR1PGUbRWJjrTR9mosWLfJURrkoWARYzsYuYV72nMhIbKh6/vnnqxYtWgSrtaTuGQGWk+yxxx6KGPxRkSgS23nnnSd275CBMZiJ3bMKJ5N4IjYCHfLmWrp0aab05LwFBKhYhrsffPBBC7n5k0XUiI01iMTTHzVqlD8ASCp5I3DhhRd6HjjzRGwsvGYbedlPMe+68S0BIhyfccYZvqUXdEJRI7ZJkybpvkzZrS1oy/CW/s8//6yqVaumZsyY4ekGT8RGSkSrbNasmadE5aLgEXjooYcUGymvXr06+Mx8yCFqxEYAwzPPPNOHkksSfiDAvro4VxCcF/FMbGw5RnNUtuXzAmvw1zBZt3z58mrcuHHBZ+ZDDlEiNiaklyxZUk2ZMsWHkksSfiDQu3dv1b9/f89JeSa2P//8Ux144IFq2LBhnhOXC4NFoGvXrqpdu3bBZuJT6lEiNoJKVqlSRTFBXSR8BLZs2aLrI1VQyWQaeiY2biYGElvKi7iBAGvm8Cyi0A8UJWIjJE6y3cXdqPXipwX9akceeWRWBc+K2J5//nndHJXwLVlhHNjFmzZtUhUqVFBjx44NLA+/Eo4KsWHbdLnIbu9+1Xz+6bAzWLbbFGRFbKjYqFEjiSSaf135lgKRJxo3buxbekElFBViY5AMGxdxAwGztwHHbCRrYqOzmjdathllo5Rc6x0BYlOVKlVKMWnXZYkCsZmHKCoDMi7Xt1+68aLJpVsga2JjEKFevXritflVcz6kQ9+n615bFIiNhwjbxsZFwkfAvGgWLlyYtTJZExs50KcjXlvWWAd2w8cff6zKli3rtNfmOrGZhygK/ZWBGZJjCfOiOffcc3PSKidiYyXC4YcfLl5bTpAHc9PAgQOd9tpcJzYeImw6qtsbBmNV4aVqXjS57sqWE7FR3JEjR4rXFl69F8n5008/VeXKlXPWa3OZ2MxDhE2LuIEALxo2L8pVciY2whkRqwoFRNxAYNCgQc56bS4TGzaMLWPTIuEjYF406TZryaRlzsRGwhir9LVlgtje+c8//1zttddeTnptrhKbeYjQT8QNBHjRdOnSJS9l8iI2lpywzEq8trzqwNebBw8e7KTX5iqxYbvYsCyf8tUMc07MvGjy3WMiL2JD+9tuu028tpyr0f8bifZRuXJl57w2F4nNPETYsIgbCPCi8SOqSt7ExqYihBMRr80Nw0CLIUOGOOe1uUhs2Cy2G7WNcdyxNH81MS+aF154Ie+E8yY2NLjlllu015ZPZ1/eJZEEdiDwzTffqH333VePXO/4M+QvrhEbtkr/MLYr4gYCzFlr3769L8r4Qmw//PCDatiwoTrppJN8UUoSyR8Bpi4QH96VgAWuERu2is1iuyLhI8CSwBIlSij2cfVDfCE2FDGBKG+++WY/9JI0fEDgtNNOc2ZPWJeIDRvFW5MIHj4YmQ9JLFu2TO2zzz5q6NChPqT2vyR8IzaSY3NZDEaapL7VT14JvfPOO3qplQvNLVeIzTRBsVURNxBg747WrVv7qoyvxEY88qOPPlqapL5WUX6JmVHrl19+Ob+E8rzbFWKjCYqNeo2dn2ex5fYMCBCtuHTp0mr+/PkZrszutK/ERtaMaOC1SZM0u4oI8uqWLVuqY489NtR1kC4Qm2mC+jHqFmR9FZe0idrBNpLDhw/3vci+ExsaMklUmqS+11XOCbrQ/Aqb2AwG2KaIGwjQ/DzllFMCUSYQYmMr+uOOO06apIFUWW6JMreNlw27aYchYRMbTVBsEtsUCR+BG2+8Ue2+++6BjdoHQmzAxpIIaZKGb0BGg99//11vxFO3bl317bffmr+tHcMkNtMEzXeZjjWwCjyjuXPnam4YMWJEYCUNjNjQ2HgJMkoaWP1llbDp/wxjlUhYxGaaoNiiSPgIMGjTpEkT3ybipipRoMS2fft2deKJJ0qTNBX6IfxvpuTY3gw4LGKjCYoNYosi4SNw+eWXq7///e+Bb7weKLEBo3ljnnfeeeGjKhooNp9t0KCBHo2iSWBLwiA2dvCSQSxbNZw5n3vvvVfXx6hRozJfnOcVgRMb+j344IO6QDIpMs/a8ul2htnZ6bx69epq0aJFPqWaPhnbxDZs2DBtc5MmTUqvmJy1gsDTTz+t6+OKK66wkp8VYqMkt956qy6YhIixUq8ZMzGGxg7bNiar2iS2yZMna1tj8qdI+Ajw8ixZsqTq3bu3NWWsERsluvTSS7XBjR8/3loBJaPUCDzwwAO6Ppo3b576Ip/O2CI2Mxp/3XXX+aS5JJMPAuvXr1f77bef6tChg/rrr7/ySSqre60SG5p17dpVP0wyUppVPQV2sWmysV4vSLFBbMuXL9e21bdv3yCLImlngUDTpk31fhKbN2/O4q78L7VObKjMSBUhdTZu3Jh/CSSFvBEYMGCAJoRcdtz2mnnQxPbjjz+qChUqyAi81wqxcN1ZZ52l7WrlypUWcts5i1CIDRXYwxEXVcQNBDp37qyN8M477wxEoaCJjb5CQqLb6C8MBKACS/Syyy7T9kSEmTAkNGKjsBUrVlT169cPo9ySZxIE6GtjesTzzz+f5Gx+fwVJbKw3RO+1a9fmp6Tc7QsCDNpQH2EGGwiV2DZt2qQBwFsQcQOB2rVr6zr56quvfFUoKGK78MILtb4ffvihr/pKYrkhMHPmTF0fNuaqpdMwVGJDMdPhK2GO0lWT3XP0VfHGZX2pX+KF2CBTQkPz8RKy26wBfeyxx/xSU9LJAwFi/mE3F110UR6p+HNr6MRGMd58800NCG9fETcQYHDHz+adF2Lr2LGjzpN8+bD58+jRo5MCYvoE5YWYFB7rfzKFizpr1aqV9byTZegEsaEYOysBTFDxmZIVXv5LjwCRZqmT9957L/2FHs56IbY999xTMbnWCM0Z8o//j3P0y/I/K1pEwkfArD9mlylXxBliA5DffvtNz3lhhIvhe5HwEWC2OCTy3HPP5aVMJmKjGUo+iX17PCysbUWYHsRIOte9+OKLeekjN/uDQKdOnXR9uDYh2iliM1Cffvrpek4S/W8i4SPAFBDIZOLEiTkrk4nYZs+erfDYEoX/yZsJ3TSPiQzx0UcfJV4mv0NA4OSTT9Z1M27cuBByT5+lk8SGyrwBMGgJDpi+Am2dfeSRR3R9sOY3F8lEbAMHDlTJlnaZ6DDYAnMfv//++1yyl3t8RIC5gsccc4wqVaqUs1sYOkts1EOqPhYf60iSygIBmn8QDGt+s5VMxAap3XTTTUWSNU0dvAOR8BFgWg0vmAMOOCDwmGr5lNZpYqNgU6dO1Q8TaxpFwkeAneVr1qypGJUktptXyURsprkZn57plD744IPj/5bvISHwyiuvqBo1aqjjjz9ebdiwISQtvGXrPLFRDDquGfoncKBI+Ah8/vnnqlmzZjoy7YoVKzwplI7YPvjgA/3yip+7RmBSyC4Z4XnKUC7yFQH6Ounf7NKli6/pBpVYJIiNwi9YsEAddthhepGzRAYJyhy8p/vdd98p5p3hvSVOx0iWSjpi436aNgh1S5AECI1djOh7EwkPgT///FPdcMMNuj5sBYn0o7SRITYKy1SAXr16aZBlYqYf1Z9/GmyjBgkxLSRxqkZ86umIjSkdEKQhtHLlyukR0LCX5cTrXxy/06fKloX777+/p5eXSxhFitgMcEw7oK3PgyDem0ElvCN9LyeccEJa7y0dsV1zzTX6XgiSjVfC2vs0PATdyvmnn35SgwYN0i+sc845R3355ZduKehBm0gSG+UixlOPHj3Ee/NQyTYuoclipugk895SEZtZ74lnIFN7bNRU+jx4qTRs2FBVq1ZNEWE5qhJZYjOAT5gwQe2zzz7ivRlAQj6+9NJLeo5TYt9bIrHF96UNHjxYdmgPud4Y5bzkkku0o9CtWzfldVAoZLVTZh95YqNkrFCQRdEp69j6iV9//VVdffXVO/re2DimUaNGess/tmAzXhprUcOM2WUdGEcznDFjhiJcFYE6XVxFkAtsBUFspuD33HOPqlSpknhvBpCQj3PmzFH16tXTOxTRfxb/YY6aRLsNt4JWr16tzj//fF0vTIRetmxZuAr5mHtBERu4sI6QjUl4iPr06aMWL17sI1ySVLYImE1y40lNJtxmi6K/169bt057zfSjEXtvzJgx/mbgQGoFR2wG0/vvv181btxYCM4AEsKRlwrxueJJje9777133tFCQihO5LOMJzTz4mdydCFKwRKbqSwhOIOEvSOEhrfMw3PggQfqqTnx5HbUUUfpc+3btxeCs1AtyQit0FsyBU9sxm6E4AwSwR3jCe2QQw5RjIQSjWP79u3qzDPP1Jv3mAeKZXIQG4QnBBdMnRRHQjNIFhtiMwUWgjNI+HeMJzQiP4wcOVIxyTNeEqd7mHNCcAYJ/47FmdAMisWO2EzBEwmOqBUi2SEAZqbJyejn2LFjFVM9kkkqYjPXCsEZJHI/fvHFFzsGBUwfmvGQc081mncWW2Iz1RVPcMQEY0/EMHauNvq4fgQbMDJ7kDI/jblPrDxIJ5mIzdwbT3B169ZV1157rVq4cKE5LccEBGjqT5kyRTf1d9llF920l9kAShV7YjN2wgOFQTAEXrJkSUV48kmTJqnNmzebS4rtEQzAAkzApkqVKuqCCy7IKnqqV2IzIL/99tua1Nj/Au+DMEmEKI/6jHhTvnyPzzzzjK4D6gJ8WDfNC+ezzz7LN+mCuF+ILaEa6RtiJnb37t1V+fLl9YRfYoMRj4pO8OIilJUyU3YmPeMNMACAd5BLeO5siS0e57lz56oBAwbsWCjfoUMHvf+C68EO48vgx3e2qbzqqqt0+C7IjOlMrOIors3NdJgKsaVBh05Ymqpm9I6RPmbMs6FvoQplo4yUlYenRYsWOkQ7/Tf5SD7EZvJlA+cnnnhCh0iCbJlcSsijJ598MmNT2KQRtSOrAYYPH66OPfZYXR+HHnqorh+JapO+JoXY0uOz4ywuPq6+iRnWpEkT3XSlw/y1117ztHP5jsQc+bJ161YdwJPNbvv27asoE2TGdncEF1y0aJFvmvpBbPHK0DwmQCVLgUqXLq0OOuggdfbZZ6vbb79dz41bu3Zt/OWR+b506VI1bdo0HTaoTZs2uj7oHqGbhO4SEW8ICLF5w2mnq3D9aQLQNGN5EGRQokQJRX8QTVjesES5YB9MVySexAixDontuuuuWnf26jz11FN1Myeo0EF+E1s8rgS4ZJ1wz549NSnTD0id1KpVS9FsJZzS448/7lxcMUNieMgtW7bUHih644kyONO/f3/dLZI4dSa+7PI9OQJCbMlxyepfvINnn31WsTVd165d9S4+GCgfwvcQQvuWW27Rb9wlS5aoNWvWBLIAfNu2bYrmM+tlaaown4yH/YgjjtC6oA/h1QlLA/nSAZ1vE9MrUEESW6IO9AHiRROBl0XerHQoU6aMxoAIFpAIgRTpS2XKChjE77eQmF6uv+mn5OX26aefqvnz5+v4Zv369dPNSqNP9erVVbt27dT111+v9aHuilNfbq7YZrpPiC0TQjmeZyd7+qtGjx6t+4Ro3hmyM8eyZcvq5Ub169fXDxuhlzD8IUOG6IeSJglhffhMnz5dp0UTkTc5BNq6dWsdDoj9AginbdI1RwIG8mDjzdDxnEunf47FL3KbTWIrkrlSmizwtIm+zEAEEX8TMWOAhNh+derU0aOwBFO48MILFRF+GZFlZJiXwcsvv6xmzZql7rvvPjV06FC9LwORZvF68YRpFuN1mXowR/ot2QyF5jIe/ddff51MVfnPBwSE2HwAMZsk6Buiv47pDPSZsL0gnhVvbPq5IDc8CsiO8Oe77bab/vA9ngC5lnu4lzRIizRJ28UpKmETW6o64gW0atUq3Z8I2bAxNP2mdDWwfypRmtu2bau9Pta9slMTTfiqVasq5tkxDYVpMEx/IQYd5YQ8GVHmZULn//r169Uff/yRSgX5PwAEhNgCAFWSLIqAq8RWVFP5pxAQEGIrhFqMQBmE2CJQSQWkohBbAVWmy0URYnO5dgpPNyG2wqtTJ0skxOZktRSsUkJsBVu1bhVMiM2t+ih0bYTYCr2GHSmfEJsjFVFM1BBiKyYVHXYxhdjCroHilb8QW/Gq79BKK8QWGvTFMmMhtmJZ7fYLLcRmH/PinKMQW3GufYtlF2KzCLZkJRF0xQbsICDEZgdnyeV/CIjHJpZgBQEhNiswSyYxBITYxBSsICDEZgVmySSGgBCbmIIVBITYrMAsmcQQEGITU7CCgBCbFZglkxgCQmxiClYQEGKzArNkEkNAiE1MwQoCQmxWYJZMYggIsYkpWEFAiM0KzJJJDAEhNjEFKwgIsVmBWTKJISDEJqZgBQEhNiswSyYxBITYxBSsICDEZgVmySSGgBCbmIIVBITYrMAsmcQQEGITU7CCgBCbFZglkxgCQmxiClYQEGKzArNkEkNAiE1MwQoCQmxWYJZMYggIsYkpWEFAiM0KzJJJDAEhNjEFKwgIsVmBWTKJISDEJqZgBQEhNiswSyYxBITYxBSsICDEZgVmySSGgBCbmIIVBITYrMAsmcQQEGITU7CCgBCbFZglkxgCQmxiClYQEGKzArNkEkNAiE1MwQoCEFv79u2t5CWZCAJCbGIDgoAgUHAICLEVXJVKgQQBQUCITWxAEBAECg4BIbaCq1IpkCAgCAixiQ0IAoJAwSEgxFZwVSoFEgQEASE2sQFBQBAoOAT+D2RCGcueW/XxAAAAAElFTkSuQmCC[/img][br]Name a pair of perpendicular line segments.
Name a pair of line segments with the same length.
[math]A[/math], [math]B[/math], and [math]C[/math] are the centers of the 3 circles. Select [b]all [/b]the segments that are congruent to [math]AB[/math].[br][img]data:image/png;base64,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[/img][br]