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Geometry.Campo-6#

Reflections,Rotations

TermDefinition
Transformation Some kind of change in position, shape, or size of a geometric figure.
Preimage The original figure before a transformation occurs. (The before picture)
Image The new figure produced after the transformation occurs.
Rigid Motion that preserves length and angle measures. This makes the preimage and image congruent figures.
Nonrigid Motions that do not produce congruent figures.
Isometry Another way to say equality of measure. (Preserves length and angle measures.)
Reflection Transformation that reflects each point in the preimage across a line of reflection.
Rx-axis(ABCD) This is a notion of how to change the figure ABCD. It means reflect (ABCD) over the x-axis. It is an algebraic notation. A common rule for relecting over X axis is to... (X, Y) -> (X,-Y)
Ry-axis(ABCD) This is a notion of how to change the figure ABCD. It means reflect (ABCD) over the y-axis.It is an algebraic notation. A common rule for relecting over Y axis is to... (X, Y) -> (-X,Y)
Translation A transformation that maps all points of a preimage the same distance and direction. Translations preserve lengths and angles, so they are Rigid motions.
Composition A transformation with two or more rigid motions in which the second motion is performed on the image first.
Name the result of what happens to x and Y after this rotation. r(90°, O) (x, y) (-y, x)
Name the result of what happens to x and Y after this rotation. r(180°, O) (x, y) (-x, -y)
Name the result of what happens to x and Y after this rotation. r(270°, O) (x, y) (y, -x)
Do Translations or Reflections come first? It is the reflection, then the translation.
Reflectional Symmetry Symmetry for which a reflection maps the figure onto itself. The line of reflection for reflection symmetry is called the line of symmetry.
Rotational Symmetry An image mapped onto the preimage after a rotation less than 360 degrees.
Created by: PaigeRyals-9th
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