Vocabulary
Figures may be reflected in a point, a line, or a plane.
What is Line of reflection
If point A is (2,2) and you translate it 3 units up and 5 units to the left, where would point A' be?
(-3,5)
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
When you rotate a figure, what are you doing to the figure?
Turn it
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)
Four types of ____ will be considered: translation, rotation, reflection, and glide reflection.
What is Rigid Motion
If point J is at (-4,-2) and you translate it 3 units down and 6 units to the left, what would the point at J' be?
(-7,-8)
If point A is located at (5,6) and it is reflected across the x-axis, what would point A' be?
(5,-6)
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
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)
The measure of the amount that a figure is rotated about a fixed point
What is Angle Rotation
If A is at (3,-5) and B is at (0,-3) and C is at (4,-7) and you translate the figure 5 units to the right and 3 units up, where would A', B' and C' be?
A'(8,-2) B'(5,0) C'(9,-4)
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 your pre-image is located in quadrant III and it is rotated 180 degrees, what quadrant would your image be located in?
Quadrant I
If you have point (x,y) and you are asked to rotate it 180 degrees, what would your new point be?
(-x,-y)
Consists of a reflection over a line and then translation along that line, combined into a single operation.
What is a glide reflection
If A' is (-8,7) where would A be if you translate the figure 4 units right and 6 units down.
A(-4,1)
If point L is located at (7,3) and its translated 5 units left then is reflected across the y-axis, what would point L' be?
(-2,3)
If you have point G at (-3,2) and you rotate it 90 degrees clockwise, what would the point G' be?
(2,3)
If you had point (x,y) and you were asked to rotate it clockwise 90 degrees, what would your new point be?
(y,-x)
An operation or transformation that maps the figure/object onto itself.
What is symmetry.
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)
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)