IM Geo.1.13 Practice: Incorporating Rotations

Here are 2 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[/img][br]Select [b]all[/b] sequences of translations, rotations, and reflections below that would take polygon [math]P[/math] to polygon [math]Q[/math].
The semaphore alphabet is a way to use flags to signal messages. Here's how to signal the letter Q.[br][img]data:image/png;base64,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[/img][br]Describe a transformation that would take the left hand flag to the right hand flag.[br]
Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line segment.
Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C', and the image of D as D'.
Here is a line l. Plot 2 points, A and B, which stay in the same place when they are reflected over l. Plot 2 other points, C and D, which move when they are reflected over l.
Here are 3 points in the plane.
[img]data:image/png;base64,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[/img][br]Select [b]all[/b] the straightedge and compass constructions needed to locate the point that is the same distance from all 3 points.
This straightedge and compass construction shows quadrilateral ABCD.
[img]data:image/png;base64,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[/img][br] Is [math]ABCD[/math] a rhombus? Explain how you know.
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Information: IM Geo.1.13 Practice: Incorporating Rotations