IM Geo.1.14 Lesson: Defining Rotations

For each figure, which pair of angles appears congruent? How could you check?
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Ga8DpjBRl+pFAIiJcreDQKcrpAwnTHpNg2CaJL66hj8uTJKp40bv/ioGKdMMWv4YoVK+Kkk+8SgTYRED+q559/vvZdEqYWltxuyhEXaRx1YCsk1l/actZjlTBNec7OzcL8sPMIYK0fvLMjr/mFhOlHJN/flUdcoKUYV7CTKMulSrr0WCVM2S+e9mwWnSK8RwSAQNhZUCRM9/IIhk9wxAWIL66jjlGjRqlwr776qjXFrBGmnP43evRoa8rxQ/WJwLhx41RBWrp0aRUAJMwqOJz5IUdcxHHUIVsh0SW3KVYI0/T50jYB4reKh4CcZ48zzSvPsydhumtL2AbrM6M66li+fLmqFG2vtLFCmJMmTVLKzZ07112LMWWlQmD+/Pkqz1XuLSZhum3iWbNmKZtFcdQxePBgNVYND+s2JXPCxH5xNLWxLSqO70KbIPBb5UMAeQ3+MpH3kAchJEz37SxHXGDyDhtcdIIF6jinvl+/frrHmd7LnDCHDx+uao21a9dmqggjJwJ+BMSh7NChQ9UjEqYfIfd+Vx5xEeQIGHvRMUm0YMEC6wpkSpggSSgG0qQQgTwQGDFiRGuFTcLMwwLxv1l5xMWdd95ZEwGcbHTo0MGDQw/bkhlhokuEbnhll8i2cvweEcDpkjiJFHlx1apVijyxNZfiNgJyxIXfUYdshTz77LNzUcA4YWJd1fr1673bb79dZU5M+NSDYPB5w4YNHlYEUNxCQE4ShAs49HimTp3qVgKZGi0CWJiOsUpx1PHuu+96slMQlV8eYpQwZSEpMiUunN5WdgLBmAtqO9EZLepp06blYUt+MwABnCC45557ttoItgraPhkQBW/nhABOYoC94CRaylj79u291atX55IiY4Q5YcKEVoVEMfwt+1IiqfEqdcb/WCdGcQMBKXR+G1199dVuJJCpCEQA3trhUMVvu3333Tezo3QDE+N5njHC7N69e41SULJTp05q+h9LAMp4YYzFb0z8hmMBihsInHzyyVobYWE7xW0E5KweXRl79NFHrSfeGGGi+61Tql7vnXLKKdaNyQ/qEcB6TF0+/N///qcPwLvOICAH3ensd++991pPpzHClPWWfsWwr7fM0rdvX21hnD59epnVLpRu48eP19poyJAhhdKjHhP78ccfa20HnsnDiY8xwkTiu3btWqVcr169vC1btpTazuvWrVPDDpUVxUknnVRqnYumHPaW9+7duypv7r///t7GjRuLpkpdpherGirLF/7Pa/WNMcKEJbGQdN68ed6YMWO8hQsX1o1xv/nmGw9r+9CaXrZsWd3oXTRF0b1rbm72cFjWjz/+WLTk13V6X3nlFUWS119/vYdGSl5ilDDzUoLfJQJEgAjYQICEaQNlfoMIEIFSIEDCLIUZqQQRIAI2EAgkzEWLFnn9+/evuTAORDGHgOCMv5TsEMAZP/6JA/ndo0eP7D7MmFMjADs1NjZq49m8ebOya5IzgbQRtnEzkDCxyByLzpEQXGPHjvW6deumEtfU1NRGtHwcBQH49cOJd8gQtgweJV1lfAcVkhQ8ydPyl5WVuxZvaWlRdguykSxsx3s2JJAwZYeOPxFYu4aMh8JOSYcACixwRgsnD2eo6VJfrNCo8JFvKcVCAKtPYDfdKaDQBGXIJh9pc1BYM1cSaIvRi2Xe6KmtxBhkid0olOwQQKXErnd2+GYVM7riYRUdyg56vrZES5hhzVzpqttKYFm/g4yA1iVa6mz9ZG9lFLqgcbDsv84vJEUAZBjW+7JtVy1hSgGu7Hbjfzm+NGg8ISko9RZOJiDQWodIq70S73rDJEt9ZRwM+XfNmjVVFzHPEvl0ccM2IMSGhoYqm4kNZZ+5TYfQWsIEoyOh/gvjl+yKp8sECC3dCCmsMiFBbNNjq4tBxsH8+Rm/ibkOMTfuSUWns1vlPZs21BImEoNCjZaPXPiNGV22LtNlJskElTjKPQyFUMwjIBOVwNl/mf8aYzSFgPS8UC78dsNvadiZ+l6UeGoIU7qLumauZDxMWFCSISBLsyprSPkfGYRiHoG2xsHMf5ExmkAAfINx/iDJY3VJDWFK9wUM7pewZ/53+bsWAel6Y4xYWu7yF6SJ+xSzCMg4GLE1i6uN2ECWIM0gyaPM1BBm2DS+NJF1ZBqkFO//iwAKLrzSoxuhE2SOoGe693kvGgLIqyhYHO6Ihpcrb1Uuu9OlSexaObSle8/0vRrCDGrmoquOMcywJrLpxJUpvrYqG5Al12Kat7jgzmEk89hmGWPY0kZ8V3q7tu1aRZjSfUHBnTJlSuuF5RhClkEr7rMEr+hxA1fgF9aClPHhouvqWvqBOVqYOr8IzMuuWeu/9OiWNv731FNd9Twab1WEKc1cZDC5pKuImhoFnxIfARnmCBvKkJYQMY6Pb1gIVEQgTd1FrMOQy/cZCDNs/BJlKo9x6SrCzBcifp0IEAEi4DYCJEy37cPUEQEi4BACJEyHjMGkEAEi4DYCJEy37cPUEQEi4BACJEyHjMGkEAEi4DYCJEy37cPUEQEi4BACJEyHjMGkEAEi4DYCJEy37cPUEQEi4BACJEyHjMGkEAEi4DYC/wclceidGwV0GQAAAABJRU5ErkJggg==[/img][/color]
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[/img]
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[/img]
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[/img]
Your teacher will give you either a problem card or a data card. Do not show or read your card to your partner.
[table][tr][td]If your teacher gives you the data card:[/td][td]If your teacher gives you the problem card:[/td][/tr][tr][td][list=1][*]Silently read the information on your card.[/*][*]Ask your partner “What specific information do you need?” and wait for your partner to ask for information. Only give information that is on your card. (Do not figure out anything for your partner!)[/*][*]Before telling your partner the information, ask “Why do you need to know (that piece of information)?”[/*][*]Read the problem card, and solve the problem independently.[/*][*]Share the data card, and discuss your reasoning.[/*][/list][/td][td][list=1][*]Silently read your card and think about what information you need to answer the question.[/*][*]Ask your partner for the specific information that you need.[/*][*]Explain to your partner how you are using the information to solve the problem.[/*][*]When you have enough information, share the problem card with your partner, and solve the problem independently.[/*][*]Read the data card, and discuss your reasoning.[/*][/list][/td][/tr][/table]
Do not show or read your card to your partner.
Use the applet below:
[size=150]Draw a segment. Label the endpoints [math]A[/math] and [math]B[/math].[/size][br][list][*]Rotate segment [math]AB[/math] clockwise around center [math]B[/math] by 90 degrees. Label the new endpoint [math]A'[/math].[/*][*]Use the Polygon tool to draw triangle [math]ABA'[/math].[/*][/list][br]What kind of triangle did you draw?
What other properties do you notice in the figure? Explain your reasoning.
Use the applet below:
[size=150]Draw a segment. Label the endpoints [math]C[/math] and [math]D[/math].[/size][br][br][list][*]Rotate segment [math]CD[/math] counterclockwise around center [math]D[/math] by 30 degrees. Label the new endpoint.[/*][*]Rotate segment [math]C'D[/math] counterclockwise around center [math]D[/math] by 30 degrees. Label the new endpoint [math]C''[/math].[/*][*]Use the Polygon tool to draw triangle [math]CDC''[/math].[/*][/list][br]What kind of triangle did you draw?
What other properties do you notice in the figure? Explain your reasoning.
You constructed an equilateral triangle by rotating a given segment around one of its endpoints by a specific angle measure.
An equilateral triangle is an example of a [i]regular polygon[/i]: a polygon with all sides congruent and all interior angles congruent. Try to construct some other regular polygons with this method.
Close

Information: IM Geo.1.14 Lesson: Defining Rotations