Vocabulary
What type of transformation slides an object in a given direction, without changing its size or shape.
translation
What are the coordinates of point (x,y) after it is translated 3 units to the left?
( x-3 , y )
What is the general rule for when reflecting a figure over the x-axis?
keep the x coordinate and change the y coordinate to its opposite (x,-y)
What type of rotation creates the same image if it's rotated clockwise or counterclockwise?
a rotation of 180 degrees
What is the name for translations, reflections, rotations?
rigid transformations
Find the coordinates of A' if A(2, 4) is translated by 5 units down.
A'(2, -1)
What are the coordinates of X' when X(-3, 1) is reflected over the x-axis?
X'(-3, -1)
The rotation that creates the same image as a rotation 270 degrees clockwise.
What is a rotation 90 degrees counterclockwise?
What is the type of transformation that occurs when you flip a figure over a line?
Reflection
Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated 5 units down and 1 unit right).
X'(-5, 4)
Y'(-2, -1)
Z'(-1, 1)?
What is the image point B' when the point B (2,-5) is reflected over the y-axis?
B'(-2, -5)
What are the coordinates of (x,y) after a 90 degree clockwise rotation?
(y, -x)
What is a transformation in which a plane figure TURNS around a fixed center point.
rotation
Find the coordinates of M' and N' when M(-4, -1) and N(-3, -3) are translated 5 units right and 2 units up.
M'(1, 1) and N'(2, -1)
In what quadrant is the image of (3,-4) after it is reflected over the x-axis?
Quadrant I
What kind of rotation maps A(2,6) on to A'(-6,2)
90 degrees counterclockwise
What is the name of a geometric object before it is transformed.
pre-image
If an object is moving down, which coordinate value changes?
y-value
In what quadrant is the image of (5,2) after it is reflected over the y-axis?
Quadrant II
Find the coordinates of A' when A(-3, -2) is rotated clockwise 180 degrees.
A'(3, 2)