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Isometries

Symmetries are one of the most beautiful part of Geometry. Slide into reflections, rotations, translations, and more, and you'll be on your way to geometric artistry.

Geometric Manipulation

         

The green triangle is reflected over the line to create the blue triangle. Angle \(A\) in the green triangle has the same measure as which angle in the blue triangle?

Which triangle CANNOT be rotated to create the blue triangle?

If the red figure is rotated around point \(P\) to become the purple figure, how many degrees does it need to rotate?

Which image is a reflection (and only a reflection) of the blue design?

Do the two figures have a vertical, horizontal, or diagonal line of symmetry?

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