Vocabulary
Transformations that keep size, shape and distance are called _______ rigid motions
Isometric
Coordinate rule for 4 units up and 1 unit left
(x-1,y+4)
Reflecting (5,1) in the y-axis yields an image of
(-5,1)
Point A (-3,2) is rotated 90 degrees. A' is located in which quadrant?
III
In R90 o r(y=x), which is completed first?
r(y=x)
The direction an object is named is called the ______. This switches when a reflection occurs.
Orientation
What is the image of the point (−5,2) under the translation T 3,−4 ?
(-2,-2)
Rule for reflection over the x-axis
(x,y) -> (x, -y)
Point A is rotated 180º in a counterclockwise direction about the origin. If the coordinates of A are (-1,3), what are the coordinates of A', its image?
A'(1,-3)
If the coordinates of point P are (2,-3), then (R90 o R180)(P) is
P'(-2,3) -> P"(-3,-2)
When an object can be folded, slide or turned and maps to itself. The object has
Symmetry
When the transformation T 2,−1 is performed on point A, its image is point A' (−3,4). What are the coordinates of A?
A(-5,5)
The coordinates of point A are (-3,4). If point A' is the image of point A reflected over the line y = x, the coordinates of A' are
A'(4,-3)
Rule when rotating 270 (x,y) becomes what?
(x,y) -> (y, -x)
Find the coordinates of r(y-axis) o r(y=x) (A) if the coordinates of A are (6,1).
A'(1,6) -> A"(-1,6)
ABC is reflected over x=1. If AB = 3x+7 and A'B' = 5x-15, what is the length of AB?
AB = A'B' = 40
If the transformation T(x,y) maps point A(1,-3) onto point A'(-4,8), what is the translation?
T(x-5, y+11)
What is the image of point (-3,-1) under a reflection in the origin?
(3,1)
What are the coordinates of the image of P(-2,5) after a clockwise rotation of 90º about the origin?
P'(5,2)
Find the image of point A(3,-2) under the composition of translations T(2,1) o T(-6,-4).
T'(-3,-6) -> T"(-1,-5)
A shape that has exactly 3 lines of symmetry and rotational symmetry of 120 degrees
Equilateral Triangle
The image of point H(−2,3) under translation T is H'(3,−1). What is the image of point G(4,2) under the same translation?
(x+5,y - 4) G'(9, -2)
Point F(2,-5) is reflected over the line y = -1, what are the coordinates of the image?
F'(2, 3)
The coordinates of the endpoints of BC are B(5,1) and C(-3,-2). Under the transformation R90 , the image of BC is B'C'. State the coordinates of points B' and C'.
B'(-1,5) C'(2,-3)
Given point A(−2,3). State the coordinates of the image of A under the composition T(−3,−4) o r(x-axis) .
A'(2,3) -> A"(-5,-7)