IM 6.1.5 Lesson: Bases and Heights of Parallelograms
Tyler was trying to find the area of this parallelogram. Move the slider to see how he did it.
Elena was also trying to find the height of this parallelogram. Move the slider to see how she did it.
How are the two strategies for finding the area of a parallelogram the same? How they are different?
Study the examples and non-examples of [b]bases[/b] and [b]heights[/b][color=#0c0300] of parallelograms.[br][/color][list][*]Examples: The dashed segments in these drawings represent the corresponding height for the given base.[/*][/list][br][center][img]data:image/png;base64,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[/img][/center][br][list][*]Non-examples: The dashed segments in these drawings do [i]not[/i] represent the corresponding height for the given 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ZZEKAu7RJ500km6gj6bBh3ahcGQ4EPWmkXxFfdEf+ND5g3Ywc4SvmXLOUGh3iJI7OSHucf79cLSogCXUY0OjWbnckGmr4akU6KpBlPwwWviw8TYV93pQJjs7KjBa9HwR2ULSUFQBB4yOYN7IYpaO3XAjUBfIT4KFwn9mfO+knOCoiKo40yrEsTJntNoVWH5oyAo/GE4AQnHx9kc9c5MncCYZQj4ZXirLL+zpbO6EmbqR/ux9xDxUSwZwQ8HGYSRKA9twfORbwiUw2eHznS9qQexhMzK86JV1t0iW76SF4Ki4WBeCIEoaGbUYOYwEyH5BKURZh+WQGe6/nPnztX4qBNOOEGn4KPcMZLFBtnCZCcKukiRIvqm5rD8UeANYfJyERYAR33gC9oAjNlZgnc3cuD39FU3LwRFRakkQWr4o5giphF9MnEAdvDJyMZoi3BTtjgk4qMY4fD31ahRQ9dExaFeR6oDnYVOg3ZO/A6r7n0POjwPUkKLxe+E/ykucgX+uBHYSYNBgMHA14tKvBEUlURdZJEh/ijW6yFIqMRhNyQh/pidcdA4iK7G74Gmyr47jOi+O+uRCMXF/2jozDoRcsHryNj9wWdi8oe9tlmVz7ORpbDlOpP1ZxCAgNnJgB01kDFki/7rMnklKCqC1sROA3Qg3q8XrElyWcn88gZ4HMyMCgDuS3XNr0wF+Y9OgVbIYmIwZklImJpqQeqS6r2YduykQfAqM2fg4Lo9wZuDwZdJF8oQh4EuL+wZ6OivN910ky6zgpBdrxLxTlAwLlHPrMonCAxnNRuyhTnaEKNCNDa7/UVtfVdeggSW+KMwec4888w/9jPP69o4nUO2MK2YEoekGHhcBq/yPPLHdUFHhZggxDBl2WV7Ui9Iing71utxsNkcA4Gr5J2ggoqw5wyjPILErFNYkaqUB+FiM64oLkAN8Mz9icnBmzIweXjzDoIU146Ts+7UkT2vWQaDBhm86SfnNZn4DjkReMxSEN5WgolZWBJ9lX2sCJIN9o9yJVuhERSjDdGp5cqV0zV77PcTpt3OyIeTmREiLiMh2gQmD5MSTMFHfco7WQKg/b744gs5/vjjdRtatqbNZAciL6yAhx56SN0UcfFfJosv10HOvM2JAZBVIhC0C3M6NIIKGpn9owgCy/nG0lSAyuS1AIwPgYXOmHqMklFOlB+/Gm/TQFNlC9awpuB94ohsMcqzPpE34uC4hpwz2YHIH42bIEz8T5kkQJ9YpfsszDrqzp7k7P+GXxmMM51CIygqwkiHA5fXz/D2DvxSEAPnw0qMjP3799fOjH8h6oIHlmiqODZRyceNG6cmbVj4+nou5Ixvs0WLFhpg2KtXrwK7EciTTgg5YUIH2nbUZSSdNqHOgT/quuuuEw5mLzO951qoBAUwVJSZAeKjWE/Ger0wZ50AnSUTLJAkJCJMskxHcPK6B4wJtDv11FP1DR5EBheGTkUd0YZpSxZTE9aCtpNqIh+0LwiP5R6EM4S9pjTVOri4Hlww7fAhMxnD24rpy5nUVEMnKIBDXcRnULFiRV2vx65+YXUgnovTHMcnwaRRN/MCwWTUf+WVV3SrYGZOEaywMA7K5OMTQgriowheZXYz1cQghTbNOkdmCFn4G4eBK1Uc8roeMiK8ApkiSJb4KBSMTJFUVhAUFcdXAingMyDQDsejy+nLvMAOzkFKgMwoyXfKkSnAg2f4/qQeLC+ig2FOd+/eXc2VuJMU9cNtwP5RzOrhj0v13Y2QEbPOvECVpVH8jjtuqcgn/QStvEqVKhqEzWqGTJl6WUNQNDiVwh9FpCr7mYftj6KR8EkxbY1WFQeSYkkI/oLzzz+/0OwfRbsxAPKyBerNW3SZLMivPZFH/mdwQgvjM/A5pdJ5C8u14IOvk1Ui7CEVTB4UtP5ZQ1BUhJEJdZFRni002AEB0yTMhOOPkYHZxkyNCmHVh05HJ0NTZU9vZmDw0RSGhGzRltWrV9edD3j5aX7+KK5H9phUQHsCOw5LeSMANrgNBg4cqIMAgwF75Rc0ZRVBUUmYmLebwsRXX321Onc5F5ZwYOrxWue6devq65oLCng23I+zl5lKHJtMTvCbDhnnhPxASLyphNg7HOeHI2fMYfxMbCfMSw54m4ylIyMAxjjJ8dURH8U2OAW1grKKoAIIIAWioFHHeTswi3kZ+cNIgI7Asi8zwaRxSNQJf1SDBg10uRGvm2b6nPNxT5h6vE+QWT12HsjL4Q2RMaGAUz3wOcUdl0zVj37Kfmu4ETD1iOTH8sjPnM7v2VlJUFQG3w/LCFivx97T+AzC7ECQFEdcEnXhleLXX3+9xgmxVXCc6ne4dkK2WJWPs5wBsHPnziprOa9Hm8Q8IVo6rIExZ3mi9J0+itOcnXPRUpmZh+SxgtJJWUlQVITOgu3PIl7eosuIxugXZgJk9sFBuwu7LAXFAUGiPpg8vAC0cuXKqqmGOQgUtE7J3g/pQECQM8GrkyZN0kXGaO4sHMf3BJFxFAY8ksUt2evADSzxR7HDazArnw6WWUtQgEFFYWJYGDZmewfWVaV74HMgDgZnaTp5MANGICmOVj7TyYN72KM93XszfR8ExQZrRx11lC7eZgoe3OOc6ChoSQRusg01kyDsbU4MD8tieOUSvhM7CoYB/YXXorGBIv4oBvVUZSurCYpOgv3KG2TZyQ+VnBcvpHuwXSnaAk7SguRxzDHHaFBaunmUKVNG1y+le38m72MdFft5/+Uvf9HFtURK5ze7FSfiYpQfPHiwRtjjk2JRNZMhLKxmsz87CoYBON522206+LHelh05UzWZs56gGOkQpAEDBuge4uwjTqXTObiXzd9xfjJqppMX97DRHke693NfOvemU+dk7gGT2rVr6yucWPQZ9xm9gGRxIxAhzihP7B1EzeBRtmxZHcQYyOxIHwNwJCgYxYLvzIim6ufMeoJCmFALmWXCUc4WIgU9EEqOguYTt/vxvaCxpuMrCDp91D4Z0ZklZnkVM052uMEAfPHvxc7Ei5rAW3kNAUMgcwhEQoPKXHUtJ0PAEIgSAkZQKbQWvjDW5RHSb8kQMATcI2AElQLGBDbiXGcqvjD5aVKAyC41BDKKgBFUCnASEcsUP+uNjKBSAM4uNQTSRMAIKgXgeDMK06VsrsfuBiNHjtRIbGbzmJ1gFowtJzhPIOesWbN0VoypVfa3Yj0fsSDMFAVvZmU5BQGDXM99RM8zzW8EmELD2KWxRcAIKoWmhaBKly6tMVjsBkBsFq83YksOpqsxAdkIjmU57GvFe+mIWofAiJvi7RcQVNeuXZWUICGWAxAcyNYyvIaLF4gWZHFlCtWxSw2BrEfACCqFJoKgiEQfM2aMxmQRS8XmZwSgQSpEYPNJvBZmIDsx8DJQtCWCQ7kPsmIhNNexqJJFq+xAiCbFMhxe5cNylsISzZ0C/HZpIUTACCqFRoegWLuFuYZJB8GgAaH5QDyssRsxYoSSEtpVrVq15Pnnn1fTD82pbdu2wttFWP/Gdies9SKKm/VfPXr0ULLjLSRTpkxJe/V3CtWxSw2BrEfACCqFJgoIiu1M8RMFBMUOoLz+mv2F2CIGjYnfvOsPgkIb4lrO8266SpUq6Qs12SiuSZMmMn36dCUsSAvtizCGVCNuU6iGXWoIRAYBI6gUmgqCYvsItCT2KIdIeLssq+DZdZFdDth9k/94dRUhCaziJn6KpToQFf9x/eOPP66/WZPHCyAhMLY/wfzDqW5O8hQaxi6NLQJGUCk0LaYdzm60Ikwy3vLBu+lnzJihxIM/im1i2aGSa1q3bq0mIP4ldgno3bu3/sc2u2zvAQnxSR7dunVTBzt52ixeCo1il8YaASOoFJoX7QdHNi92YNN93psH+aD5YJKx3w3+o/fff1/NOUy6YLtiZvg4T4gB9wROcD7ZIpW9rjjYi8gIKoVGsUtjjYARVArNCwkRTsABKUEuOcmE78F5zDSO4H/u4XqOnCYcWhS/MfE4uM7MuxQaxS6NNQJGULFuXqucIRBtBIygot1+VnpDINYIGEHFunmtcoZAtBEwgop2+1npDYFYI2AEFevmtcoZAtFGwAgq2u1npTcEYo2AEVSsm9cqZwhEGwEjqGi3n5XeEIg1AkZQsW5eq5whEG0EjKCi3X5WekMg1ggYQcW6ea1yhkC0ETCCinb7WekNgVgjYAQV6+a1yhkC0UbACCra7WelNwRijYARVKyb1ypnCEQbASOoaLefld4QiDUCRlCxbl6rnCEQbQSMoKLdflZ6QyDWCBhBxbp5rXKGQLQRMIKKdvtZ6Q2BWCNgBBXr5rXKGQLRRsAIKtrtZ6U3BGKNgBFUrJvXKmcIRBsBI6hot5+V3hCINQJGULFuXqucIRBtBIygot1+VnpDINYIGEHFunmtcoZAtBEwgop2+1npDYFYI2AEFevmtcoZAtFGwAgq2u1npTcEYo2AEVSsm9cqZwhEGwEjqGi3n5XeEIg1AkZQITTvgQMHhMNSdBGg/Xbt2iWbNm2SLVu2yM6dO2Xv3r2yZ88e2bFjh57bunWrnjt06JBWdPfu3cI5Dq47ePDgH+e3bdum58ln3759wj3kR15cz2dwnmdzHee3b98u+/fv1+t///13LRPlCp4ZXYT/V3IjKM8tiOAsXLhQ1q9f7/nJ9rhMIUAbQhgdOnSQLl26SN++feWDDz6QefPmyZw5c2TUqFF6jvNffPGFQByQ0bRp06Rfv356TJ48WcmEMnF+4MCBep57IT3u+f7772XYsGHSv39/GTJkiKxZs0bPQ4gjR47U80OHDpVly5bpee4bPXq0lgUCjANJGUFlSmoPkw8j3ezZs+W1116TVq1aSaVKlaR48eLy7LPPHuYOO53tCAQE1aJFC7n55pu1Ld955x2ZOXOmzJgxQwYPHizt2rXT8x999JGSB/dARL169dJjwoQJqiFRV86/9NJLeh5CQnPi+h9++EH69OkjL774on5CQJxHQ4LQevToId27d5e3335bfzds2FDOPfdcKVmypEBckGjUkxFUhlsQNR7taP78+TqSPv7441KzZk0pXbq0XHjhhVKlShU57rjjpHXr1hl+smXnC4GcBAURbdy4UTUktCQOBqVPPvlEVq5cqeZXUC7+QzMKNCryISVzPrgP+Vq9erUOemhVDz74oJIksnXJJZdIqVKlpEiRItKtWzfZvHlz8OjIfhpBFbDpEDKEBz8AIx8jaJs2beT000+Xv//973LUUUepxoQpgGm3atUqKVGihBFUAXEP8/aAoFq2bCnt27f/ExFgXn366ad/mGQFKWtAXsgXfqopU6ZI/fr15ZRTTpG//e1vKmNXXHHFHxoWJiQkhWZlBFUQ5GNwL85KNCXU6ebNm8u1114r55xzjo5kjRs3VhV84sSJsmTJEnWaMvqtXbtWVXDToKIrAD4IimdAdN9++636ppo2bSoVKlSQ8847T6688kqVN8w8fFloajjMGSgHDBhgBBVd0SpYydGQNmzYoL4BnJkPP/ywVK9eXcqWLaukgyn3zDPPyJgxY2Tx4sUCISFoQUKA1q1bZwQVABLRTxcEhabELB2OcJzjw4cPVy27WrVq6h7ARVCvXj3p2bOnamfLly/XmeCc8gWckJZpUBEVrFSLHZhu+BR+++03dYLiU8JEO/roo+WEE05QvxJEhSYVODcP9xwjqMMhE63zAUHhJMcHhc8RcgkOpv7Hjx+fr4lHHsgD9+DMRrP++uuvhTzPPvts+cc//iEnnniiXH755dK5c2fVktDYcxNSbuSMoHIjEtPfCAKzKIMGDZK77rpLrr76ailWrJhccMEF+rt3794yadIkNd+w9RE0RsH8khFUfuhE57+AoO677z71B+H3QU6CAzPrqaeeErQc2jyvhPk2d+5cdQM0atRIypcvr87tcuXKyb333qtuA/xN+Cwx34JYp7zyynnOCConGjH6jgAwG4MjG/ONkfGGG26QMmXKyEUXXaSmHI7usWPHyqJFi3TUO9JolhseI6jciETzd0BQyMj777+vYQLTp0+X4Pjmm290li5NTdkAABWLSURBVA3Nm0GL65EvtCQ0bUIJICHkC9lCxm699VZ1bDPoLV26NGlCyo2gEVRuRCL6G7LAJGN0wsmIcOE/YgQ7/vjj5YwzztDvbdu2lVmzZv3Jn5ROtY2g0kEt++4JCKpTp06yYsWKP60K4H/aGh8kQZVMkqANERJADBxhJoQCVKxYUTp27CgLFiz4Ux7p1toIKl3ksug+BIhRCkckwW3MjmD3M0OCOYeqPnXqVFXREbBkzLdkqmcElQxK2X/NkQgKeUETJygTx/all14qp512mjq70ZwIrGRAJJ6JAZLryTMTyQgqEyh6zgM1Gyc3QoNKzkh2zTXXyMUXX6wHMyUvvPCC+pQgLlTzTAlMzqoaQeVEI7rfcxIUfib8SczuogmxBKVZs2Zy1VVX6QQK5ludOnU0UhxS4vpk/UnpIGQElQ5qIdyDEBHYxnQ/2tBzzz0n119/vc68FS1aVGNJCLT7/PPP9TofRTSC8oGy+2cgW2jWTz/9tMoPy1aeeOIJueyyyzSAkuUmxMQ99thjgj8KQvKVjKB8IV2A5yBAaEGo06jX+JPOPPNMHclYJ0W0N74DCCxT5lsyxTWCSgal7L8GjZwZuKpVq8r555+vpMQM75133qnmGwuGMd8IN8ik+ZYMMkZQyaAU8jUQAQJCVDdrlBjpgtkRYk74P4xkBBUG6pl/JgQ1YsQIlS1m4Vj4zUJhdhXIHZyb+afnn6MRVP74ZMW/EAHxI4xqzMK5tPlTqbARVCpoZe+1tCOhApAT6y7ZZSBbkhFUtrREPuUwgsoHHPurwAgYQRUYwqQziOVuBkZQSbe/XZgGAkZQaYCW5i1GUGkCl85tCLYtFk4Huey6xwjKX3sYQfnDWp3zRlAeAXf0KCMoR8Dmka0RVB6guDplGpQrZP3mawTlD28jKH9YmwblEWuXjzKCcoluYt5GUIl4OP1lGpRTeL1lbgTlDWoxgvKHtWlQHrF2+SgjKJfoJuZtBJWIh9NfpkE5hddb5kZQ3qA2Dcof1GIalE+wHT7LCMohuLmyNg0qFyAuf5oG5RJdf3kbQfnD2gjKH9amQXnE2uWjjKBcopuYtxFUIh5Of5kG5RReb5kbQXmD2nxQ/qA2H5RPrF0+ywjKJbqJeZsGlYiH01+mQTmF11vmRlDeoDYNyh/UpkH5xNrls4ygXKKbmLdpUIl4OP1lGpRTeL1lbgTlDWrToPxBbRqUT6xdPssIyiW6iXmbBpWIh9NfpkE5hddb5kZQ3qA2Dcof1KZB+cTa5bOMoFyim5i3aVCJeDj9ZRqUU3i9ZW4E5Q1q06D8QW0alE+sXT7LCMoluol5mwaViIfTX6ZBOYXXW+ZGUN6gNg3KH9SmQfnE2uWzjKBcopuYt2lQiXg4/WUalFN4vWVuBOUNatOg/EFtGpRPrF0+ywjKJbqJeZsGlYiH01+mQTmF11vmRlDeoDYNyh/UpkH5xNrls4ygXKKbmLdpUIl4OP1lGpRTeL1lbgTlDWrToPxBbRqUT6xdPssIyiW6iXnHUoM6cOCArFq1SooWLSr333+/bN68WTgXdjINKuwWyMzzjaAyg2MyucSWoFasWCFnnXWWlC9fXkaOHCnbtm1LBg+n1xhBOYXXW+ZGUN6gjqeJl1ODuummm6RHjx6qRSFYO3fuVO1q165dcvDgQX9Ii5l4XsF2+DAjKIfg5so6lhoUAoSJV6xYMWnVqpVs3LhR36jC+Tlz5kibNm2kb9++8t1338n+/fvl0KFDeuTCJuM/ef66deukZMmS0rp164znbxn6QcAIyg/OPCX2BNW2bds/SIgK7927Vz7++GNp0KCB1KhRQzUrNCnO79u3T7UqCMtFMoJygar/PI2g/GFe6AgKMsLMW79+vSxcuFCd51u3bpXhw4fLAw88IKNHj5a1a9c60aiMoPwJtssnGUG5RDcx70JHUInV/9+v7du3y4IFC6RTp05St25dGThwoBIUGtXu3btlz549aiIWVLMygsoL/eidM4Ly12ZOCSrw7RS0Y6cKBwIU+KBym3hHymvLli3CDCBlJjzhgw8+kC+//FLPQVgFSUZQBUEve+41gvLXFs4IClOKmbJFixYJGopPkioIQXEvBwlCGj9+vJp+9evXV7LiPP+nMwPIfeYk9yfcrp5EOw4bNkwuuuginXDZtGmTq0elnC/af6lSpaR79+46wKacQZbd4IygaMTly5dLhw4dVPtIp0OnixXPTleDyvlMSBV/1dKlS+Xrr7+W77//XomW3xMnTpQff/xREM5kNSsjqJzoRve7EZS/tnNGUEzf//LLLzrC/PDDD+rLYaYsmNanipAWvzmf8z+IASGg4+eeXeO/nPdwXW7tjHOZIKi8moG8J0+eLI0aNZKaNWvKyy+/rFoRZSD+iv8PR8b8ZxpUXqhG6xztaBqUnzZzTlAtW7aUzz77TPr06SM9e/aUqVOnakemQ2P64d8hkJL/pk2b9geRrVy5Ul555RXp0qWLDBkyRPgNAeC05jruIc+ffvpJndg54UKAXBEU5cZ0ZaYPjWr69OnCLCCkOW/ePC3Pjh07/jATc5fLCConItH8bgTlr92cE9Tdd9+t2kb//v2VUO699141j+jkmIAvvfSSDB48WDp37iy1atVSrQu/VcOGDZWchg4dKl27dpUZM2bocpWZM2dKixYtNC/Iq0mTJmqCITRBcklQwTOCz0Br4vPDDz+Uxo0by5NPPqnEhXkIoVGe4NMIKkAuup9GUP7azjlB3XHHHaoO04HpsO+99546ndFAOAdRcR4zsHbt2jJixAg1oapUqSKQEVoWph4dnNk1NDIIbfXq1Upm9erV0xgmQgGC5JOggmdSPsqJrwoHJXFVRLCjWS1ZskR9VdSFclskeYBaND+NoPy1m3OCglDmzp37h28GTeiWW26RX3/9VdasWSODBg2SZs2aSdWqVXVpyoABA5SIMOsgqfbt2+v9+KLIhxmKq666SqpVq6b3lChRQp544gnBrApSGATFswOSgnAhXgh4w4YNSqrUr1evXhpvVbx4cVvqEjRWBD+NoPw1mnOCat68ucyaNUsJiobFZ1OnTh0lG8y7jh07yqRJk3Q6v3Llyup3YmaMeKRvv/1WfVM4pLmGeytUqKDnxo0bp76tCRMmaER4zpm0sAgqr2bDZ4av6vXXX5dHH31Uxo4dK0ZQeSEVnXNGUP7ayilB4UuCXNCSIBxMHjrqQw89pOTDgln8Niw7QbO68cYb1XzjOswhtKJly5apnwqn+Pz581Xz6Nevn5pKbKFCvmhXaC9ByiaCCsrEJ2SF3w2tzxYL50QmWt+NoPy1lzOCwrxZvHixNG3aVJ3f7dq1k/vuu0+qV6+ufhqcxd26ddPfjz32mBAIiUmHaffVV1/pYl5MNyLBK1asqJoHhARJQWR33XWXkCdT/WhWOaf2s5WgKBe+N/NB+RNwF08ygnKBat55OiMoCAMtCDONgEY0JRzgs2fP1rAAnNo4jHGas6EczmWIBq0Lvw3hB++++66MGjVKz6NNBU51TEbOv/HGG7ozASZhFDQoBNtm8fIWxCidNYLy11rOCMpfFf78JATIVRzUn5+W/BkjqOSxyuYrjaD8tY4RlD+sdaLANCiPgDt6lBGUI2DzyNYIKg9QXJ0yDcoVsn7zNYLyh7cRlD+sTYPyiLXLRxlBuUQ3MW8jqEQ8nP4yDcopvN4yN4LyBnXh25PcH7R/fpIR1J8xieIZIyh/rWYalD+szcTziLXLRxlBuUQ3MW8jqEQ8nP4yDcopvN4yN4LyBrWZeP6gthd3+sTa5bOMoFyim5i3aVCJeDj9ZRqUU3i9ZW4E5Q1q06D8QW0alE+sXT7LCMoluol5mwaViIfTX6ZBOYXXW+ZGUN6gNg3KH9SmQfnE2uWzjKBcopuYt2lQiXg4/WUalFN4vWVuBOUNatOg/EFtGpRPrF0+ywjKJbqJeZsGlYiH01+mQTmF11vmRlDeoDYNyh/UpkH5xNrls4ygXKKbmLdpUIl4OP1lGpRTeL1lbgTlDWrToPxBbRqUT6xdPssIyiW6iXmbBpWIh9NfpkE5hddb5kZQ3qA2Dcof1KZB+cTa5bOMoFyim5i3aVCJeDj9ZRqUU3i9ZW4E5Q1q06D8QW0alE+sXT7LCMoluol5mwaViIfTX6ZBOYXXW+ZGUN6gNg3KH9SmQfnE2uWzjKBcopuYt2lQiXg4/WUalFN4vWVuBOUNatOg/EFtGpRPrF0+ywjKJbqJeZsGlYiH01+mQTmF11vmRlDeoDYNyh/UpkH5xNrls4ygXKKbmLdpUIl4OP1lGpRTeL1lbgTlDWrToPxBbRqUT6xdPssIyiW6iXmbBpWIh9NfpkE5hddb5kZQ3qA2Dcof1KZB+cTa5bOMoFyim5i3aVCJeDj9ZRqUU3i9ZW4E5Q1q06D8QW0alE+sXT7LCMoluol5mwaViIfTXwcOHJA1a9ZIyZIlpXXr1k6fZZm7QyBbCerQoUMyYMAAKVWqlHTv3l02b97sDgRPORtBeQKax+zZs0d+/vlnOffcc42gPOKe6UdlI0EdPHhQ9u3bJ3369JESJUoYQWW60TOZHwK0atUqKVasmLRt21b2798vjC6+EwKzdetW+fXXX2XatGny2muvyT333KPlevTRR30Xx56XIQSygaAgpL1798qWLVtk0aJFMnnyZHnllVfk5ptvVoLq37+/bNu2LUM1Di8b06AyhD0EiNBAhmhK27dvl7lz58qgQYOkWbNmUrZsWTnxxBOlePHi0qBBA/noo48y9GTLxjcCYRAU8sVzA/n67bff5JtvvlGNqWHDhnLxxRfLscceK2XKlJFWrVrJ7NmzVQ59Y5Pp5xlBZQhR/EvY/D/99JMKzfXXX6+m3DnnnKPC07hxYxk9erQsXbpUNmzYIDt37szQky0b3wj4JijICW1848aNMmfOHOnSpYtcc801UrRoUTnvvPPksssuU1KaMGGCauubNm3S6xkwo56MoNJsQUYyVOhly5bJl19+KYMHD5YWLVrI1VdfrdoSBNWoUSN58cUX1bxbvXq17NixIxRTM80q2m2HQcA1QQX+JMy3X375RT799FPp27evNGnSRK688kqVr6pVq6q7AKf4t99+q5MvaO6ULU7JCCrJ1qThGcV2796tfqUFCxao+da0aVOpUKGCnHzyyXLBBRcoKeELmD59uvoHwvB9JVkluyxNBDJNUIH5hnzt2rVLMN+Qn549e0r9+vXl0ksvlZNOOkk18fvuu099mbgPCsOAZwSVhJAiQKjNzMANGzZMatasKWeddZYUKVJESpcuLXfeeaeMGjVKVq5cqaSE4CBscRvNkoCqUFySaYIKzLfvvvtOevXqJZUqVZJTTjlFJ1PwXeLDHDdunGpJTLrgHuCeOJhwRxIYI6g8EMKfhJN7xYoVMmnSJOnXr5+0bNlSbrjhBilXrpzcdNNNwkjGlC6zJxAT1xsh5QFmDE8VhKAY7HAPQDRLliyR8ePHKylhvuFXwp9Uo0YNDUNBE58xY4bgHkCzKozyZQQl/4vwZsqWkSlwdDP7xmwbNv/pp5+uDm80JXxNM2fOVIelmW8xZJ8kqpQKQQXmG/KFZo35Nm/ePOndu7fcfvvtSkho4rgHCEEZMWKEzv4y4BUGDelIcBd6gkIImB1BaIYMGSK1atWS0047TUkJ2x8fwPDhw1WbQmjwQTECmvAcSbTi+38qBIUptn79ep32f+mll6Ry5cpywgknyNlnny2XX365BLO769atUwIL5MsGv//JT6EjKIQrMN8mTpwoPXr00JGLWTfsfcy3+++/X5cMMDuHmcdsHaRkyRAAgcMRVG7zbezYsfLcc88JcUqYb7gHMN/atWungyFxTMHsLm4FS39GIPYE1aZNGx2ZIBk0Jez+V199VTUjZt+IJSFWqW7duio0BLgx4pmG9GdhsTP/QyAgqAsvvFDjjyAZ5Iv4NhzdmG+33XabEhKyRXDu3XffLW+99Zb+j//JCCk5aYo9QSEY+IyGDh0q9erV09mRU089VbUlfACQ1eLFi9UJiZ8AwTFySk54CutVAUGx6BsT7ZNPPhGWljC7SzjAGWecIVdccYX+9+abb+okCk7uQL7MfEtecmJJUJAMa/Gw81mYe+211+oSAOz/Bx54QMlqypQpar4xmuEnsGQIJItAQFCs9UQDL1++vMpXtWrVhDWWb7zxhi5DQbPCnZCXtsQgGBxGWIdHPpYEhQCtXbtWA9xQsW+55RbVlAiuxMwzf9LhBcL+OTICEMu7776r8sVSE2Z33377bV3mRPR3XoSUO1eivgm2ZNYYebWUNwKxJCiqihBh2v34449/qNYIgo1WeQuCnU0NAUw2nNz4NCGbwDWQrHzhr0Kbh6Qw/SzljUBsCYrq0vBmvuXd8Ha2YAgwAEJKaOPJklLOJzIRwwQOkzKQFZoUcXiBNkWehBygkRE7xfdggOUT05Hz/J9TxiFL3BZYCsh/OmXLWc6wv8eaoMIG155vCBwOAQiqefPm8t5772lICzsU8J0lVQHxTZ06VRebE6qASQnpQEYsICZgmHtwzvObewgERavr2rWrvPDCC7rKAeKLcjKCinLrWdkjiwAExUqF2rVr66QNIQjMCBJJTsgCxMJOBSNHjtTwhIoVK2rAMFoTkz2dO3fW9XmsDZ01a5ZqX5999pkuyQruq1OnjrzzzjuRxYiCG0FFuvms8FFFAIJiPSfhL3xHO2JdHguDCXvBdCRIeOHCheqnItizU6dOSlysCWVRMf5VItAx/7ifpTKcx2ycP3++mpCs8YuymWcEFVUJt3JHGgFIiZ0vMeMgGPxFOMzRejDT2GeMJVaQ0oMPPqjLYp5++mm9lgXsLF5/6KGH5P3331eSIqQBLYv7cb5z3HrrrfoZ+LWiCJgRVBRbzcoceQQgKJZUYZbhHMe5zc4FrGhgCRb+peeff1530GS3DAKOn3nmGdWG0IjQmFhKQ7AxC9shNJZpEXjM9+XLl+vBc6KcjKCi3HpW9sgiAHFAOuzCipObraBxeD/77LO6HAbtCMd4YOKxLOvJJ59UIoN8MP+4D3Lq1q2b7hXFEptHHnlEzTs0Kq7DBIxyMoKKcutZ2SOLAOEBHTp0UBOOWTpIJnjZAWEHY8aMkfbt26tPCdOuY8eO6jRnpo77WOTO7gjcg8mHFgbJQXAPP/ywvnaK+9DQopyMoKLcelb2yCKAExzTjYBPXoTA0isIhjACTLjAJ/XVV1+pFoVJB3ERTkBwKL6r4B6uDRJhCszqsY85WwgxIxjlZAQV5dazskcWAUiIYE8+ISVIJmfQZ87z/A8xcY6D67g+ZwR7AAQOca7H8c5nlB3k1MkIKmhZ+zQEDIGsQ+D/AQOOPRypOYT4AAAAAElFTkSuQmCC[/img][/center]
Select [b]all [/b]the statements that are true about bases and heights in a parallelogram.
Five students labeled a base [i]b[/i] and a corresponding height [i]h[/i] for each of these parallelograms. 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[/img][br][br]Which drawings are correctly labeled? Check all that apply:
For each item you selected above, explain how you know why the these setups you selected above are correct.
This parallelogram is made of solid line segments. Its height and supporting lines are dashed. Interact with this, and answer the questions that follow.
For each parallelogram here, use the SEGMENT tool to construct its base and height. Drag a label next to each segment to denote which is which for each.
For the parallelograms above, record these lengths in the table below. In the last row, write an expression (using b and h) for the area of any parallelogram.
What happens to the area of a parallelogram if the height doubles but the base is unchanged? If the height triples? If the height is 100 times the original?[br][br][i]Feel free to use the app below to help answer this question. [/i][br]
What happens to the area if both the base and the height double? Both triple? Both are 100 times their original lengths?[br][br][i]Feel free to use the app below to help answer this question. [/i][br]
IM 6.1.5 Practice: Bases and Heights of Parallelograms
Select [b]all [/b]parallelograms that have a correct height labeled for the given 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[/img][br]
The side labeled b has been chosen as the base for this parallelogram. Draw a segment showing the height corresponding to that base. Then, drag the "height" label next to your segment.
Find the area of each parallelogram.
If the side that is 6 units long is the base of this parallelogram, what is its corresponding 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[/img]
Find the area of each parallelogram. Be sure to show your reasoning.
Do you agree with each statement below? [br]Check all the statements you believe are true about parallelograms:
For the statements below, indicate [i]why [/i]you agree or disagree with each:[list=1][*]A parallelogram has six sides.[/*][*]Opposite sides of a parallelogram are parallel.[/*][*]A parallelogram can have one pair or two pairs of parallel sides. [/*][*]All sides of a parallelogram have the same length.[/*][*]All angles of a parallelogram have the same measure. [/*][/list]
A square with an area of 1 square meter is decomposed into 9 identical small squares. Each small square is decomposed into two identical triangles.[br][br]What is the area, in square meters, of 6 triangles? [br][br]You can use the app below to help explore or illustrate your thought process.
A square with an area of 1 square meter is decomposed into 9 identical small squares. Each small square is decomposed into two identical triangles.[br][br]How many triangles are needed to compose a region that is [math]1\frac{1}{2}[/math] square meters?[br][br]You can use the app below to help explore or illustrate your thought process.