Vocabulary
A transformation in which a graph or geometric figure slides to another location
What is translation?
A figure that is translated 3 units left that starts at (0,0)
What is (-3,0)
What happens in a reflection across the y axis?
What is (x,y) becomes (-x, y)
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise. Also (x,y) turns into (-x,-y)
What is a rotation of 180 degrees?
A(1,2) B(3,4) C(5,6)
A'(2,1) B'(4,3)C'(6,5)
What is reflection over the line y=x?
The figure before any transformation occurs.
What is the pre-image?
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by (2, -5)
What is A'(4, -1)?
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
What is X'(-3, -1)?
The rotation of 90 degrees counterclockwise.
What is (x,y) becomes (-y, x)
A(1,2) B(3,4) C(5,6)
A'(-1,2) B'(-3,4)C'(-5,6)
What is reflection over the y-axis?
The figure after a transformation occurs.
What is the image?
Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by (x-5, y+1)
What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
What happens in a reflection across the x-axis?
What is (x,y) becomes (x,-y)
A rotation clockwise of 90 degrees.
What is (x, y)-->(y, -x)
A(1,2) B(3,4) C(5,6)
A'(-2,1) B'(-4,3)C'(-6,5)
What is rotation 90 degrees counterclockwise?
A transformation in which a plane figure turns around a fixed center point.
What is rotation?
Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.
What is M'(1, 1) and N'(2, -1)?
The image coordinates when the line of reflection is over the x axis when A(-2, 0), B(1, 3), and C(3, -4)
What is A' (-2,0) B' (1,-3) C 3,4)
This angle of rotation maps (x, y)-->(-y, x).
What is rotation 90 degrees counterclockwise?
A(1,2) B(3,4) C(5,6)
A'(-2,-1) B'(-4,-3)C'(-6,-5)
What is reflection over the line y=-x?
The two aspects of a figure are preserved when performing a rigid transformation.
What are angle measures and distance between points?
The translation when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
What is 4 units down
The line of reflection OVER BOTH X and Y AXIS X(-4, 0), Y(-2, -2), and Z(0, -8)
What is X' (4,0) Y' (2,2) Z' (0,8)
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 90 degrees.
What is A'(-2, 3) and B'(2, 1)?
A(1,2) B(3,4) C(5,6)
A'(-3, 4) B'(-1,6)C'(1,8)