Reflections
Rotations
Translations
This and That
Compositions
100
Which figure is a reflection of triangle x over the y-axis?
B
100
What are the coordinates of point H' after a 180o clockwise rotation around the origin?
Rule: (x,y) -> (-x,-y)
H(-4,0) -> H'(4,0)
100
What translation will move point S to the location S'(-2,1).
T<-3,-2>
100
What is an isometry or rigid motion?
A transformation that preserves size and shape.
100
What would A' be if you take the point A(-3, 6) and perform the following sequence of transformations?
A' (-6, -1)
200
If the triangle were reflected over the line y=x, what would the coordinate of point K' be?
Rule: (x,y)->(y,x)
K(2,-2)->K'(-2,2)
200
If trapezoid EFGH is rotated 90o clockwise about the origin, what would the coordinate of F' be?
F'(-1,2)
200
Triangle ABC undergoes T<5,-1>, resulting in Triangle A'B'C'. If the C(1,7), what is C'?
Rule (x,y) -> (x+5,y-1)
C(1,7) -> C'(1+5,7-1) -> C'(6,6)
200
What is the definition of a pre-image?
The figure or points before a transformation.
200
What single transformation could replace the composition of reflections that created X"Y"Z" in the diagram?
Translation
300
How many lines of symmetry does this concave 16-gon polygon have?
8
300
If the figure is rotated 90 degrees what would be the coordinate of R'.
R'(4,3)
300
If figure LZJD is translated so that the image of Z is Z' at (1,2), then what will the coordinates of point D be after the translation?
Z(-1, 4) -> Z'(1, 2)
(x, y) -> (x+2, y-2)
D(-3,0) -> D'(-1, -2)
300
When you rotate an image clockwise, are you rotating by a positive or negative degree?
You are rotating be a negative degree for clockwise.
300
You start at the origin (0,0). The treasure map has the following instructions.
(1) Translate (x,y) ------- (x + 2, y – 3)
(2) Reflect over the x axis
(3) Rotate 180° about the origin
(4) Translate (x,y) ------- (x + 6, y + 7)
(4,4)
400
Give the coordinate of the vertices C after a reflection in y=1.
C'(5,-2)
400
Give the coordinates of A after a 270o rotation about the origin. (A'?)
A'(3,-2)
400
Give the coordinate of A after a translation
(x,y)->(x-4,y+3)
A(2,3) -> A'(2-4,3+3) -> A'(-2,6)
400
How do you read a composition of transformations (think direction)?
From Right to Left
400
Write the composition transformations.
Rx-axis * T<5,-4>
500
The point P(-7,3) is reflected across the line y=x. What are the coordinates of P'? (Graph on your own paper if needed)
(3,-7)
500
What are the degrees of rotation that give this figure rotational symmetry.
360/8=45
45, 90, 135, 180, 225, 270, 315
500
What is the single translation for T<2,-3> * T<-5,5>
T<2-5,-3+5> = T<-3,2>
500
If you do a double reflection over two intersecting lines it would be the same as what?
Rotation
500
Given the coordinate of A(2,3), find A" by completing the following composition transformation:
r(90, O) * T<-2,4>
A(2,3)->A'(0,7)->A"(-7,0)