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Math 2 Unit 1

Transformations/Symmetry

TermDefinition
Rigid Motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease
Transformation a translation, rotation, reflection, or dilation, or combination of these.
Translation A translation has a distance and a direction. It moves every point in a figure the given distance in the given direction.
Rotation A rotation has a center, an angle, and a direction. It moves every point of a figure in a circle around the center, in the direction specified (clockwise or counterclockwise), and for a distance specified by the angle.
Reflection The reflection of a figure across a line takes every point of the figure to a point directly opposite to it on the other side of the line and the same distance from the line.
Orientation how the relative pieces of an object are arranged. Rotation and translation preserve orientation, as objects' pieces stay in the same order.
Parallel two lines that never intersect
Perpendicular two lines intersect at a right angle.
Perpendicular Bisector A line which cuts a line segment into two equal parts at 90°
Symmetry an object exhibits symmetry if it looks the same after a transformation, such as reflection or rotation
Center of Rotation a point about which a plane figure rotates.
Concentric Circles circles with a common center.
Angle of Rotation the measure of the amount that a figure is rotated about a fixed point called a point of rotation
Corresponding If a part of the original figure matches up with a part of the copy, we call them corresponding parts. The part could be an angle, point, or side, and you can have corresponding angles, corresponding points, or corresponding sides.
Preimage the two-dimensional shape before any transformation
Image The moved object is called the imag
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