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Transcript of Transformations
Parallel lines can go on forever, or they can stop.
Perpendicular lines always have to have a
Perpendicular lines also
Composition of Transformations
A composition of transformations is the
of performing/ putting more than one composition.
The symbol is an open circle.
You must do it in order, and you read it left to right.
A glide rotation is a
that is preformed one after another.
Glide reflections are
because the line of reflection is parallel to the direction of the transformation.
ections - Flip
Reflections are also isometries.
The rules for reflections are-
Reflect over x-axis- (x,y) (x,-y)
Reflect over y-axis- (x,y) (-x,y)
Reflect over y=x- (x,y) (y,x)
Reflect over y=-x- (x,y) (-y,-x)
Reflect over origin- (x,y) (-x.-y)
With Fredrick the Fish
Translations are isometries.
Translations can be written in three ways, Ex.
To the left 2 units and up 4 units.
Prime Notation- (x,y) (x-2,y+4)
Vector Notation- (x,y) <-2,4>
Rotations are also isometies.
The rules for rotations-
90 degrees - (x,y) (-y,x)
180 degrees- (x,y) (-x,-y)
270 degrees- (x,y) (y,-x)
Dilations are NOT isometries!!!
- Scale Factors are the ratios to make the
larger or smaller.
The dialation formula is (x,y) (kx,ky). K is the scale factor.
A line segment has
2 end points
A line segment also
does not go on forever.
Vector notation is written like-
Prime Notation is written like-
Vector and prime notation are ways to write a translation.
There are three kinds of angles-
- An angle that is greater then 90 degrees.
- An angle that is 90 degrees.
- An angle that is less than 90 degrees.
The origin is the (0,0) mark on the graph.
Rotational Symmetry is when you can rotate a shape and it still looks the same.
Equiangular and Equilateral
is when more than two angles are the same.
is when more than two sides are the same.
Order is numbers arranged sequentially.
A bisector is a line that passes through a shape evenly.
When shapes are exactly the same.
Orientation is the way something is positioned.