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23 Cards in this Set
- Front
- Back
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what are the five transformations?
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1. line reflections
2.point reflections 3.rotations 4.dilations 5.tranlatives |
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what is the transformation formula?
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T(a,b):P(x,y)-->P'(x+a,y+b)
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transformations
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demonstrates a change in postition for each point on a plane.
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fixed point
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a point in whch remains on the graph n its original place is considered to be fixed
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line reflection
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a mirror image of a point translated across a line.
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x-axis
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x,-y
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y-axis
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-x,y
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y=x
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y,x
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y=-x
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-y,-x
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x=a
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2a-x,y
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y=b
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x,2b-y
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(0,180)
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-x,-y
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(0,90)
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-y,x
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(0,-90)
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y,-x
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glide reflection
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a reflection followed by a translation or the reverse
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direct isometry
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distance and orientaton are preserved
rotation transformation |
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opposite isometry
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only distance is preserved
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orientation
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the clockwise or counterclockwise apperance of the vertices
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dilation does not preserve
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distance
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what transformations preserve distance?
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rotations,reflections,translation
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which transformations only preserve distance?
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reflections
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which transformations preserve distance and orientation?
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rotations and tranlations
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which transformation does not preserve distance?
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dilations
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