In R2, show the following: (a) The composition of two affine isometries is another affine isometry. (b)
Question:
(a) The composition of two affine isometries is another affine isometry.
(b) The composition of two translations is another translation.
(c) The composition of a translation and a rotation (not necessarily centered at the origin) in either order is a rotation.
(d) The composition of two plane rotations is either another rotation or a translation. What is the condition for the latter possibility?
(e) Any plane translation can be written as the composition of two rotations.
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a If Fx Qx a and Gx Rx b then G Fx RQx Ra b S x c is a ...View the full answer
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