Vocabulary
A transformation in which a graph or geometric figure slides to another location
What is translation?
Given A (0,0):
(x,y)-> (x - 3, y)
What is the new coordinate?
What is (-3,0)
What happens in a reflection across the y axis?
What is you change the sign of x?
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 (x, y) ->(x + 2, y - 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)?
Rotate A(9, 5): 90 degrees clockwise. Find A'.
What is A' (5, -9)?
The two axis' where transformations occur
What is the x and y axis?
Find the coordinates of Y' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by (x, y)-> (x - 5, y + 1)
What is Y'(-2, -1)?
What happens in a reflection across the x-axis?
What is you change the sign of the y?
Rotate B(-3, 2): 180 degrees. Find B'
What is B' (3, -2)?
A transformation in which a plane figure turns around a fixed center point.
What is rotation?
Find the coordinates of N' when MN with M(-4, -1) and N(-3, -3) is translated (x, y)-> (x + 5, y + 2).
What is N'(2, -1)?
Reflect over x axis when A(-2, 0), B(1, 3), and C(3, -4). Find B'.
What is B' (1,-3)?
What does the abbreviation CCW stand for?
What is counterclockwise.
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).
Write the rule.
What is (x, y) -> (x, y - 4)
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)?