a change in the position, size, or shape of a figure
the original figure
a figure resulting from a transformation
a transformation in which the preimage and image are congruent
A transformation that "slides" each point of a figure the same distance in the same direction.
Writing Rules for Translations
A transformation that "flips" a figure over a mirror or reflection line.
Line of Reflection
A line that a figure is flipped across to create a mirror image of the original figure
*perpendicular to lines connecting corresponding points of the image and preimage
Rule for Reflection Over X-axis
Rule for Reflection over Y-axis
Rule for Reflection Over line y=x
a transformation in which a figure is turned around a point
-counterclockwise unless stated otherwise
Rule for 90 degree rotation
rule for 180 degree rotation
rule for 270 degree rotation
A transformation that changes the size of an object, but not the shape.
-image will always be similar to preimage
Rule for Dilations
n^2 x area of preimage
Area of Image of Dilation
add numbers in corresponding positions
-matrices must be same size
multiply the number by every number in matrix
Multiplying Matrices by a Single Number
a matrix used to represent the coordinates of the vertices of a polygon
Matrix for Reflection over X-axis
Matrix for Reflection over Y-axis
Matrix for Reflection over Y=X
Matrix for 90 degree Rotation
Matrix for 180 degree Rotation
Matrix for 270 degree Rotation
Matrix for 360 degree Rotation
the shape is rotated 180 degrees
what happens when you have a scale factor that is negative?
connect the corresponding points of the image and preimage and construct the perpendicular bisector
How do you construct the line of reflection?