Define a translation
To vertically and/or horizontally SLIDE a figure
Define a reflection
A FLIP over a line called the line of reflection
Define a Dilation
What are the three types of Symmetry
line, point, and rotation
What is the notation for translations?
(x,y)->(x+h,y+k)
What kind of line does x=-3 look like?
A vertical line at (-3,0)
The rules of 90,180, and 270 CCW rotations are
Dilations create _________ figures
Similar
What is the symmetry of the letter P
Describe the transformation (x,y)->(x-2,y)
Left 2 only
What is the rule for reflecting over the x-axis? (x,y)-> ( , )
(x,y)-> (x , -y)
What is A' if I rotate A(8,-3) 270 degrees CCW
A'(-3,-8)
What will happen to a figure if k=3/2
Enlargement
What is the symmetry of a smiley face
Line
Translate the triangle ABC (x,y)->(x-3,y+2) if the points are A(2,1), B(4,4), C(3,-2)
A'(-1,3), B'(1,6), C'(0,0)
What is the line of reflection here:
The y-axis
Identify the rotation:
90 degrees CCW
What is X' if X(6,2) is dilated with k=1/2
If you have rotational symmetry, do you HAVE to also have point symmetry?
No, point has to be 180 degree rotational symmetry and rotational could be anything.
Identify the translation:
(x,y)->(x+5,y+2)
Find A' if you reflect A(5,-7) over y=x
A'(-7,5)
What is the coordinate of B' is I rotate B(6,2) 270 degrees CLOCKWISE
(x,y)->(-y,x) 90 CCW, B'(-2,6)
Identify the dilation if C(5,7) and C'(7.5,10.5)
3/2 or 1.5
Define rotational symmetry
Rotating less than 360 degrees