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Geometry C4
Geometry C4 Transformations
| Term | Definition |
|---|---|
| vector | a quantity that has both direction and magnitude, or size, and is represented in the coordinate plane by an arrow drawn from one point to another. |
| initial point | the starting point of a vector |
| terminal point | the ending point of a vector |
| horizontal component | the horizontal change from the starting point of the vector to the ending point |
| component form | a form of a vector that combines the horizontal and vertical components |
| transformation | a function that moves or changes a figure in some way to produce a new figure |
| image | a figure that results from the transformation of a geometric figure |
| preimage | the original figure before a transformation |
| translation | a transformation that moves every point of a figure the same distance in the same way |
| rigid motion | a transformation that preserves length and angle measure |
| composition of transformations | the combination of two or more transformations to form a single transformation |
| reflection | a transformation that uses a line like a mirror to reflect a figure |
| line of reflection | a line that acts as a mirror for a reflection |
| glide reflection | a transformation involving a translation followed by a reflection |
| line symmetry | if a line can divide a shape or an object into two equal and symmetrical parts, it is said to have this. |
| line of symmetry | the line that divides a shape or an object into two equal and symmetrical parts |
| rotation | the transformation in which a figure is turned about a fixed point |
| center of rotation | the fixed point in a rotation |
| angle of rotation | the angle that is formed by rays drawn from the center of rotation to a point and its image |
| rotational symmetry | a figure has this when the figure can be mapped onto itself by a rotation of 180 degrees or less about the center of the figure |
| center of symmetry | the center of rotation in a figure that has rotational symmetry |
| congruent figures | geometric figures that have the same size and shape |
| congruence transformation | a transformation that preserves length and angle measure |
| dilation | a transformation in which a figure is enlarged or reduced with respect to a fixed point |
| center of dilation | the fixed point in a dilation |
| scale factor | the ratio of the lengths of the corresponding sides of the image and preimage of a dilation |
| enlargement | a dilation in which the scale factor is greater than 1 |
| reduction | a dilation in which the scale factor is greater than 0 and less than 1 |
| similarity transformation | a dilation or a composition of rigid motions and dilations |
| similar figures | figures that have same shape but not necessarily the same size |