4. Reflections

Constructing a Reflection
Use the written directions or the silent film to help you make your own construction.
Directions
1. Click on the [b][i]Polygon[/i][/b] tool to create any Polygon. [br][b]Hint: [/b]To close the Polygon, connect it to your first point.[br][img]data:image/png;base64,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[/img][br][br]2. Make a line anywhere using the [b][i]line[/i][/b] tool. [br][b]Hint: [/b]You need [b]two[/b] points to make a line.[br][img]data:image/png;base64,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[/img][br][br]3. To perform a reflection: [br][list][*]Click on the "[i][b]Reflect about Line[/b][/i]" tool [img]data:image/png;base64,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[/img][/*][*]Click on the shaded region of your polygon[/*][*]Select your line.[/*][/list]You should see a new copy of your polygon that has points A', B', C', & D'.[br][br]4. Use the [i][b]segment[/b][/i] tool to connect the points on our pre-image to the corresponding points on our image.[br][b]Hint: [/b]Connect[b] A[/b] to [b]A'[/b], [b]B[/b] to [b]B'[/b],... etc.[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEMAAABFCAYAAAARk1tuAAADcElEQVR4Ae2csUt6URTHH64OjU45NAjJL34ODg4OQqODo1NDEIIRZdAgYT1wFfoPHBqdGlocBKHBwaGpsQLFhgZRcFBQOD++Ph8eTdPnz6s+PRce76iP+8734/ee171y0zqdDslhMNAExNAMAoONjF9h1Ot1qtVq9Pn5Se/v77Y8kDs0QMusUTARRqvVomq1Sl9fX4S41+uRXRtyhwZogSbE06D8gIGLQbPZbNpV/9S8oQnapgH5AQP0thGESQjaoHGSO0ZgYFzBTtveoHFSDRmBgUIDC217g0ZoHXfHCAyMJzsXy3m/RGiE1l9h4PG5Kw1aBcbg2xYYzPYCQ2AwAiwUZwgMRoCF4gyBwQiwUJyxbTCKxSL5/SG6vtYJ8aLN9s7wekOkaRppmnnWSNf1hXjYGsb5uT4AUSRNo8FhvLeIQ2wNw3AExJsgzLO20HDZAhjcFUMY9/fWh4qtYezv/xnUChMCzjs2TL6/vykajZLD4RjUDBRQQDCK6NWVdVeg4trOGblcjlwuFx0fH9Pb21v/qXFxodPhYYiOjkIL1Qrz0WMbGN1ul+LxeN8J6XTazH+pZ1vAKBQK5PV6yefz0cvLy1IB8M42HkYqleq7IZFI8LyVxBsL4/X1lYLBILndbnp6elIifrzTjYTx8PDQd8PJyQk1Go3xnJW93igYlUqFIpEIOZ1OymazykRP63hjYDw+PtLe3h6Fw2H6+PiYlq/S99cOAz/rnZ6e9odFJpNRKnZW52uF8fz8TAcHBxQIBKhcLs/KVfnna4Nxc3PTd0MymVQuct4bKIWBmSP+TMZU++zMmC+USiXy+/3k8Xgon8/Pm+dKrlMGIx43Zo/G5MmMMaHSKBaLUbvdXolAKzdRAgOrTJMXXkLkdv+1kt9Kr1UC4+7OdAJfZ0BsQFqpQgs3UwJj6IxxGAYkC/mt9FLFMCDeBGK44vJysYWXVVBRAgOJY7neqBvDZXwsvmxyUwbDFH17q//3jztmX6rPymGoFrDM/gUGoykwBAYjwEJxhsBgBFgozhAYjAALxRkCgxFg4UxnyBYLtpVRNt8wGLIti8HAZhTZsMeA4Ice1I5t3MFoeSsn3AEgcMjOb/Ll+7ZQQ1BU4RQ8iux4IHdomLR1k2tFPLJ7cfzDXXstMFi9FBgCY/gPRHgpEGeIMyY74x8anQpj26n9CwAAAABJRU5ErkJggg==[/img][br][br]5. Use the [i][b]point[/b][/i] tool to mark the places where our line of reflection & our segments meet.[br][b]Hint: [/b]Your points of intersection will be gray.[br][img]data:image/png;base64,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[/img][br][br]6. Use the [i][b]Distance or Length[/b][/i] tool to find the distance between the points on our pre-image to our corresponding point of intersection. Then find the distance between the points on our image to our corresponding point of intersection.[br][b]Hint: [/b]You should notice something interesting about the lengths of the segments formed by the pre-image & point of intersection and the segments formed by the image & point of intersection.[br][img]data:image/png;base64,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[/img][br][br][center][size=150][b]OR[br][/b]Video Walkthrough https://youtu.be/4iLCNvgArBQ[/size][/center][br]
What do you notice about the construction?
I notice that...
What do you wonder about the construction?
I wonder...
Schließen

Information: 4. Reflections