Translations
Rotations
Reflections
Dilations
Surprise Bag
100
If point P(5, -2) is translated 3 units left and 5 units up, what are the coordinates of P'?
P' (2, 3)
100
Define the transformation. Pre-image is in blue.
900 rotation CW
100
Write the mapping rule for reflecting a point (x, y) over the x-axis.
(x,y) --> (x, -y)
100
What is the result of dilating point W(2, 3) by a scale factor of 2?
W' (4, 6)
100
If point B(3, 2) is transformed to B'(6, 4), define the transformation and create the mapping rule.
Dilation with a scale factor of 2
(x, y) -->(2x, 2y)
200
Write the mapping notation for the translation of point Q(0, 0) to Q'(3, 4).
(x, y) --> (x+3, y+4)
200
Triangle DEF is located in Quadrant II and is then rotated by 180 degrees about the origin. What Quadrant is Triangle D'E'F' now located?
Quadrant IV
200
What are the coordinates of point T(4, 3) after reflecting over the y-axis?
T'(-4, 3)
200
What happens to a triangle's size when it is dilated by a scale factor of 0.5?
The image is half the size of the preimage.
200
Name two sequences of transformations that will turn Figure A into Figure C.
1) 180o rotation around the origin CW
2) 180o rotation around the origin CCW
3) Reflection over the x-axis and y-axis
300
In words, how would you translate a polygon using the rule (x, y) → (x + 2, y - 3)?
Moving 2 units to the right and 3 units down
300
What are the coordinates of point S(2, 3) after a 270-degree rotation counterclockwise around the origin?
S' (-3, 2)
300
Define the transformation. 
Reflection over the x-axis.
300
Write the mapping rule for this transformation. 
(x, y) --> (1/3x, 1/3y)
300
Write the mapping rule for a dilation of a point (x, y) with a scale factor of k.
(x, y) --> (kx, ky)
400
The preimage has a perimeter of 12 units. Translate this figure using the following rule: (x, y) --> (x-3, y-2). What is the perimeter of the image?
The perimeter remains 12 units.
400
If triangle XYZ has vertices at X(0, 0), Y(2, 0), and Z(1, 2), what are the new coordinates after a 90-degree CW rotation around the origin?
X'(0,0), Y'(0, -2), Z'(2, -1)
400
Genesis argues that reflecting a preimage over the x-axis and then the y-axis is the same as rotating a preimage 180o around the origin. Is she correct? Explain why or why not.
Yes, Genesis is correct!
X-axis reflection (x, y) --> (x, -y)
Y-axis reflection (x, y) --> (-x, y)
180o rotation (x, y) --> (-x, -y)
400
A transformation has a scale factor of 0.7 -- What happens to the figure?
The figure is being reduced and will be 70% the size of the preimage.
400
Describe the sequence of transformations. 
1) Reflection over the x-axis
2) Rotation of 180o
500
Write the mapping rule for the following transformation. 
(x, y) --> (x+6, y+2)
500
If triangle BCD is located in Quadrant 2 and is rotated 270o CCW, what Quadrant is triangle B'C'D' currently located in?
Quadrant I
500
Point A is at (-3, 2)
Reflect Point A over the x-axis to find A'.
Translate A' with the following rule (x, y) --> (x-5, y+2) to find A''
Rotate A'' 90o CCW. What is A'''?
A' (-3, 2)
A'' (-8, 0)
A''' (0, -8)
500
A (1, 2) B(1, 0) C(5, 0), D(5, 2)
Dilate the following with scale factor of 3.
What is the perimeter of A'B'C'D'?
500
Describe the sequence of transformations. 
1) Reflection over the y-axis
THEN
2) Dilation with a scale factor of 2