Geometry - Unit 3 Rigid Motions

90° clockwise rotation

(x,y) --> (y,−x)

180° clockwise and counterclockwise rotation

(x,y) -> (-x,-y)

Reflection over y axis

(x,y) -> (-x,y)

Relection over x axis

(x,y) -> (x,-y)

270° clockwise rotation

(x,y) → (-y,x)

90° counterclockwise rotation

(x,y) → (-y,x)

270° counterclockwise rotation

(x,y) → (y,-x)

Reflection over origin

(x,y)-->(-x,-y)

Reflection over y=x

(x,y)-->(y,x)

Reflection

A transformation that "flips" a figure over a mirror or reflection line.

Rotation

CIRCULAR MOVEMENT AROUND AN AXIS

rotational symmetry

The ability of a figure to be rotated less than a full circle and exactly match its original image

line of symmetry

a line that divides a figure into two halves that are mirror images of each other

Translation

a slide, simply means moving without changing size, shape, or orientation

rigid motion

a transformation that preserves length and angle measure