2 Transformational Geometry: is a method for studying geometry that illustrates _____________________________________ by the use of transformations. Transformation: A transformation of the plane is a ____________________________of points in the plane to points in the plane.congruence and similarityone to one mapping
3 ReflectionReflection- is a transformation in which each point of the original figure (pre-image) has an image that is the ______________________________as the original point but is on the opposite side of the line.same distance from the line of reflection
4 RotationRotation- is a transformation that ___________________________________turns a figure about a fixed point called the center of rotation
5 TranslationTranslation- is a transformation that ___________________________ direction. A translation creates a figure that is ____________with the original figure.slides an object a fixed distance in a givencongruent
6 DilationDilation- is a transformation that produces an image that is the same shape as the original, but is a ____________. A dilation ____________________ the original figuredifferent sizestretches or shrinks
7 Describing transformations Opposite Transformation: An opposite transformation is a transformation that ______________________of a figure. ___________are opposite transformations. Image: An image is the ___________point or set of points under a transformation. Pre-image: ____________ figure or set of points Orientation: Orientation refers to the______________________, relative to one another, after a transformation has occurred. For example, the reference made to the direction traversed (clockwise or counterclockwise) when traveling around a geometric figure.changes the orderReflectionsresultingoriginalarrangement of points
8 Isometry preserves length orientation or order Isometry: An isometry is a transformation of the plane that ____________________. Direct: preserves _____________________ - the letters on the diagram go in the same clockwise or counterclockwise direction on the figure and its image. Opposite: ___________________________________________ (such as clockwise changes to counterclockwise). Vector: A quantity that has both_________________ and __________; represented geometrically by a directed line segment.orientation or orderchanges the order or orientationmagnitudedirection
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