Use geometric definitions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Example Problems
A sequence of transformations is described below.
1. A reflection over a line
2. A dilation about the point P
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A reflection over a line
2. A dilation about the point P
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
A sequence of transformations is described below.
1. A translation
2. A rotation about a point A
3. A reflection over a line
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A translation
2. A rotation about a point A
3. A reflection over a line
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
A sequence of transformations is described below.
1. A rotation about a point S
2. A dilation about the same point S
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A rotation about a point S
2. A dilation about the same point S
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
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