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?
When an object dilates and becomes smaller
What is a reduction
Operations that alter the form of a figure. Examples: translations, reflections, and rotations.
What is transformations?
Find the coordinates of A' (-2,4) when translated 2 units to the right, and 4 units down
What is A'(0,0)?
The coordinates of X' when reflected over the X axis X(-3, 1)
What is X'(-3, -1)?
This is the same as a rotation of 270 degrees clockwise.
What is 90 degrees Counter Clockwise
Side length A / Side length B
A flip across either the X or Y axis
What is the a 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 left 5 units and up 1 unit
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)
An algebraic expression for rotation clockwise of 90 degrees.
What is (x, y)-->(y, -x)
A (2,4) -------A' (4,8)
What is Dilation with Scale factor of 2
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)?
Flip
What is a Reflection
This angle of rotation maps (x, y)-->(-y, x).
What is rotation 270 degrees clockwise or 90 degrees counterclockwise?
An algebraic expression for Dilation where scale factor is K
What is (X,Y)-------(KX,KY)
A movement of a Transformation that keeps length and measure.
What is a Rigid Motion
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
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 90 Degrees Counter Clockwise
What is A'(2,-3) and B'(-2,-1)?
New Points A(0,0) B(9,12) C(6,9) Dilated with a scale factor of 2/3
What is A(0,0) B(6,8) C(4,6)