Translations
What do you do to a figure when you translate it?
Slide it
What does it mean to reflect an image?
Flip it
When you rotate a figure, what are you doing to the figure?
Turn it
What is a pre-image?
The original image
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)
What directions can you slide a figure for a translation?
Up, Down, Left, Right, or Diagonally
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
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
What does congruent mean?
Same size and shape
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)
If point A is at (2,2) and you translate it left 5 units, what would the point at A' be?
(-3,2)
If point A is located at (5,6) and it is reflected across the x-axis, what would point A' be?
(5,-6)
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
What is the line of symmetry?
It is the line that a figure is being reflected over.
If you have point (x,y) and you are asked to rotate it 180 degrees, what would your new point be?
(-x,-y)
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)
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)
If you have point G at (-3,2) and you rotate it 90 degrees clockwise, what would the point G' be?
(2,3)
What is the center of rotation?
It is the point the figure is being rotated around.
If you had point (x,y) and you were asked to rotate it clockwise 90 degrees, what would your new point be?
(y,-x)
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
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)
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)
What is a transformation AND what are the 3 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 3 transformations we have learned so far are: Translation, Reflection, Rotation
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)