Translations
Reflections
Rotations
Vocabulary
Algebra and geometric transformations
100
What do you do to a figure when you translate it?
Slide it
100
What does it mean to reflect an image?
Flip it
100
When you rotate a figure, what are you doing to the figure?
Turn it
100
What is a pre-image?
The original image
100
If you have point (x,y) and you are asked to move the point a units to the right and b units down, what would your new point be?
(x+a,y-b)
200
What directions can you slide a figure for a translation?
Up, Down, Left, Right, or Diagonally
200
If your pre-image figure is in quadrant III and you reflect it across the y axis, what quadrant would your image be in?
Quadrant IV
200
If you pre-image is located in quadrant II and you rotate it counter clockwise 90 degrees, what quadrant would your image be located in?
Quadrant III
200
What does congruent mean?
Same size and shape
200
If you have point (x,y) and you are asked to reflect it over the x-axis, what would your new point be?
(x,-y)
300
If point A is at (2,2) and you translate it left 5 units, what would the point at A' be?
(-3,2)
300
If point A is located at (5,6) and it is reflected across the x-axis, what would point A' be?
(5,-6)
300
If your pre-image is located in quadrant III and it is rotated 180 degrees, what quadrant would your image be located in?
Quadrant I
300
What is the line of symmetry?
It is the line that a figure is being reflected over.
300
If you have point (x,y) and you are asked to rotate it 180 degrees, what would your new point be?
(-x,-y)
400
If point J is at (3,-4) and you translate it left 5 units & up 7 units, what would the point at J' be?
(-2,3)
400
If point K is located at (-2,-4) and it is reflected across the y-axis then reflected across the x-axis, what point would K' have?
(2,4)
400
If you have point G at (-3,2) and you rotate it 90 degrees clockwise, what would the point G' be?
(2,3)
400
What is the point of rotation?
It is the point the figure is being rotated around.
400
If you had point (x,y) and you were asked to rotate it clockwise 90 degrees, what would your new point be?
(y,-x)
500
If point W is at (-5,0) and first you translate it right 7 units & up 3 units then you translate it left 2 units & down 3 units, what would the point at W' be?
(0,0) or the origin
500
If point X is located at (-5,-5) and it is translated 8 units to the right and 2 units up then it is reflected across the y-axis, what would the point for X' be?
(-3,-3)
500
If you have point Q at (1,-4) and it is translated left 3 units & up 5 units then it is reflected across the y-axis and finally rotated 180 degrees, what point would Q' be?
(-2,-1)
500

What is a transformation AND what are the 4 examples of transformations we have learned so far?

A transformation is changing the pre-image to an image by sliding, flipping, or turning a figure. - The 4 transformations we have learned so far are: Translation, Reflection, Rotation, Enlargement

500
Give the algebraic movement for ALL of the following: Translation, Reflection across the x-axis, Reflection across the y-axis, Rotation clockwise 90 degrees, Rotation counter clockwise 90 degrees, Rotation 180 degrees
Translation - (x,y) --> (x±a,y±b), Reflection(X) - (x,y)--> (x,-y), Reflection (Y) - (x,y)--> (-x,y), Rotation (90) - (x,y)--> (y,-x), Rotation (270) - (x,y)--> (-y,x), Rotation (180) - (x,y)--> (-x,-y)
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