Geometry Transformations Flashcards
When a point is reflected across the x axis, (x,y) becomes:
(x,-y)
When a point is reflected across the y axis, (x,y) becomes:
(-x,y)
When a point is reflected across the line y=x, (x,y) becomes:
(y,x)
When a point is reflected across the line y=-x, (x,y) becomes:
(-y,-x)
When a point is rotated 90 degrees counterclockwise around the origin, (x,y) becomes:
(-y,x)
When a point is rotated 180 degrees counterclockwise around the origin, (x,y) becomes:
(-x,-y)
When a point is rotated 270 degrees counterclockwise around the origin, (x,y) becomes:
(y,-x)
When a point is translated a units horizontally and b units vertically, (x,y) becomes:
(x+a, y+b)
When a point is dilated with a factor of k and the origin is the center of dilation, (x,y) becomes:
(kx, ky)
Line reflections, Point reflections, Translations and Rotations preserve the following:
Distance, angle measure, area.
What are rigid motions
rigid motions preserve distance.
Under a dilation, the two shapes are
similar
Line reflections do NOT preserve what?.
Orientation
