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  • AP PRE-CALC
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        • 1.10 Algebros Digital Supports
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  • STATS
    • Stats Topic: Precourse Skills
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  • VOCAB
    • VOCAB ABCDE
    • VOCAB FGHIJ
    • VOCAB KLMNO
    • CONTENT TEMPLATE

Transformations 

Ten transformation rule review QUIZLET 

10 tranformation rule quizlet

Rigid Motions in a plane

Rigid Motion in a plane

Translations 

Horizontal Translation

Vertical Translation

Horizontal translations (x+n,y)
Vertical translations (x, y+m)

Diagonal Translation

diagonal translation (x+n,y+m)

Reflections

Horizontal reflection

Vertical reflection

Reflect over y = x


​Reflect over y = -x

Reflect over y axis (horizontal reflection) (-x, y)
Reflect over x axis (vertical reflection) (x,-y)
Reflect over y = x  (y, x)
Reflect over y = -x  (-y, -x)

Reflect over x = n 
This is a HORIZONTAL reflection over a vertical line

Reflect over x = n

Reflect over y = m 
This is a VERTICAL reflection over a horizontal line

reflect over y = m

Reflect over x = n AND y = m 

Reflect over x =n and y = m
REFLECT OVER X =N AND Y = M version 2

Reflect over ANY line

reflect over any line

Two Reflections Make a Rotation

Two Reflections make a rotation

Rotations ABOUT ORIGIN

90 degree counterclockwise rotation 

180 degree counterclockwise rotation 

270 degree counterclockwise rotation


​Rotating by 90 degree CCW increments

90 degree CCW rotation
180 degree CCW rotation
270 degree CCW rotation
ROTATIING by 90 degree CCW increments
90 Rotations part 2

Rotating CCW by ANY degree

Rotations that are NOT 90 degrees

Rotations NOT about ORIGIN

Rotate about ANY point

Rotate about a Point 1
Rotate about a point 2
ROTATE ABOUT A POINT 3

Rotational Symmetry 

Rotational Symmetry 1
Rotational Symmetry 2
ROTATIONAL Symmetry 3
Rotational symmetry 4
rotational symmetry 7
rotational symmetry 5
rotational symmetry 8
Rotational Symmetry 6
rotational symmetry 9

Multiple Transformations 

Mona Lisa Transformations 

MONA LISA

Two Rotations 

Reflect and Rotate 

More than one rotation
Reflect and rotate

Two Reflections and ONE rotation

TWO reflections = rotation ???

Translation and a Rotation

Translation and rotation

Glide Reflections with CATS

Glide Reflections WALK on the beach

Glide Reflection is NOT a rotation


​Glide Reflections WOW

GLIDE reflections with a CAT
Walk on the beach
Glide reflection is NOT a rotation
Glide relfection wow

Glide Reflections TWO Triangles

Glide Reflections Does order matter?

TWO triangles
Does order matter

MANY kinds of transformations

many different types of transformations

Enriched Geometry Additional Resources