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?
Operations that alter the form of a figure. Examples: translations, reflections, and rotations.
What is transformations?
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 270 degrees clockwise.
What is (x,y) becomes (-y, x)
The two axis' where transformations occur
What is the x and y axis?
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 (-5, 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 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 line of reflection over 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 270 degrees clockwise or 90 degrees counterclockwise?
What is the difference between line symmetry and rotational symmetry?
Line symmetry is used to determine the reflection of an image on itself. Rotational symmetry is used to rotate an image onto itself.
The coordinate mapping 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 direction did the image go?)
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 180 degrees.
What is A'(3, 2) and B'(1, -2)?