A transformation in which a graph or geometric figure slides to another location
What is translation?
100
a figure that is translated 3 units left that starts at (0,0)
What is (-3,0)
100
What happens in a reflection across the y axis?
What is (x,y) becomes (-x, y). In other words, the y value stays the same and the x value is the opposite
100
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?
100
The scale factor when triangle ABC with vertices A(1,2), B(3,0) and C(3,6) is dilated to form triangle A'B'C' with vertices A'(3,6), B'(9,0) and C'(9,18)
What is scale factor of 3?
200
Operations that alter the form of a figure. Examples: translations, reflections, and rotations.
What is transformations?
200
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)?
200
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)?
200
The rotation of 270 degrees clockwise is thew same as what other rotation?
A 90 degree counter-clockwise rotation
200
The scale factor when triangle ABC with vertices A(1,2), B(3,0) and C(3,6) is dilated to form triangle A'B'C' with vertices A'(.5,1), B'(1.5,0) and C'(1.5,3)
What is 0.5 or 1/2?
300
The two axis' where transformations occur
What is the x and y axis?
300
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, y) ->(x-5, y+ 1)
What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
300
What happens in a reflection across the x-axis?
What is (x,y) becomes (x,-y). In other words, the x value stays the same and the y-value becomes the opposite.
300
Explain a rotation clockwise of 90 degrees. (What happens to the coordinates?)
What is (x, y)-->(y, -x)
In other words, the coordinates "flip-flop" and the sign of the second coordinate changes.)
400
A transformation in which a plane figure turns around a fixed center point.
What is rotation?
400
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)?
400
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)
400
This angle of rotation maps (x, y)-->(-y, x).
What is rotation 90 degrees counterclockwise?
500
Transformations, such as translations, reflections and rotations show that one figure will fit perfectly on top of the image. This means that the figures are ______
congruent
500
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 is 4 units down or (x,y) -> (x, y-4)
500
If a figure was reflected OVER BOTH X AXIS and Y AXIS, it would be the same as what other transformation?
(Think about reflecting (2,-5) over both the x axis and the y axis. What are the new coordinates?)
It is the same as ROTATING 180 degrees
500
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.