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Chapter 4 Vocabulary
Big Ideas Chapter 4 Vocabulary
| Question | Answer |
|---|---|
| angle of rotation | The angle that is formed by rays drawn from the center of rotation to a point and its image |
| center of dilation | The fixed point in a dilation |
| center of rotation | The fixed point in a rotation |
| center of symmetry | The center of rotation in a figure that has rotational symmetry |
| component form | A form of a vector that combines the horizontal and vertical components |
| composition of transformations | The combination of two or more transformations to form a single transformation |
| congruence transformation | A transformation that preserves length and angle measure. Translations, reflections, and rotations are three types. |
| congruent figures | Geometric figures that have the same size and shape |
| dilation | A transformation in which a figure is enlarged or reduced with respect to a fixed point |
| enlargement | A dilation in which the scale factor is greater than 1 |
| glide reflection | A transformation involving a translation followed by a reflection |
| image | A figure that results from the transformation of a geometric figure |
| initial point | The starting point of a vector |
| line of reflection | A line that acts as a mirror for a reflection |
| line symmetry | A line of reflection that maps a figure onto itself |
| order of rotational symmetry | The number of times a figure can be mapped onto itself in one 360° rotation about the center of the figure |
| preimage | The original figure before a transformation |
| reduction | A dilation in which the scale factor is greater than 0 and less than 1... A dilation with a scale factor of 1 2 is an example |
| reflection | A transformation that uses a line like a mirror to reflect a figure |
| rigid motion | A transformation that preserves length and angle measure |
| rotation | A transformation in which a figure is turned about a fixed point |
| rotational symmetry | A figure has rotational symmetry when the figure can be mapped onto itself by a rotation of 180°or less about the center of the figure |
| scale factor | The ratio of the lengths of the corresponding sides of the image and the preimage of a dilation |
| similar figures | Geometric figures that have the same shape but not necessarily the same size; Two geometric figures are similar if and only if there is a similarity transformation that maps one of the figures to the other. |
| similarity transformation | A dilation or a composition of rigid motions and dilations is an example of this transformation. |
| terminal point | The ending point of a vector |
| transformation | A function that moves or changes a figure in some way to produce a new figure. Four examples of these are translations, reflections, rotations, and dilations. |
| translation | A transformation that moves every point of a figure the same distance in the same direction |
| vector | A quantity that has both direction and magnitude, and is represented in the coordinate plane by an arrow drawn from one point to another |