· The notation below will be used for isometries. You are urged to use it also in your answer.
· If a question asks for the type or kind of an isometry, the answer would be a word or words from the left-hand column.
· If you are asked in a problem for the defining data for an isometry or to state precisely what isometry T is, this means to indicate the geometrical data that will tell precisely what the transformation is. The answer to this question would be the information listed in the right-hand column.
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(a) Identity = I |
State that all points are fixed. |
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(b) Line Reflection = R_m |
Specify the mirror line m. |
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(c) Point Reflection = R_A |
Specify the center point A. |
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(d) Translation = T_v |
Specify the translation vector v. |
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(e) Rotation = A_t |
Specify the center A and the measure t of the counterclockwise rotation. |
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(f) Glide Reflection = G_AB |
Specify the invariant line AB and the glide vector AB. |