Translation
Reflection
Rotation
Dilation
Congruence and Similarity Transformations
100
What rule would go with the statement,
"six units to the left and one unit up"
(x,y) -> (x-6,y+1)
100
Segment AB has endpoints A(4,3) and B(2,-5). What are the coordinates of the image of AB after a reflection over the x-axis?
A'(4,-3) B' (2,5)
100
Segment EF has endpoints E(2,1) and F(2,4). What are the coordinates of the image of EF after a counterclockwise rotation of 180 degrees?
E'(-2,-1) and F'(-2,-4)
100
Find the coordinate of the image of K(3,-4) after a dilations with scale factor 3.
K'(9,-12)
100
Given triangle JKL with vertices J(2,1), K(6,1) and L(4,4). What is the coordinates of the image of JKL after a reflection over the x-axis and a translation of 4 to the right?
J'(6,-1), K'(10,-1), L'(8,-4)
200
What is the image of P(6,-3) when the translation rule is,
(x,y) -> (x-5,y+4)
P'(1,1)
200
Triangle CAT has endpoints C(2,10), A(-1,8), and T(0,9). What are the coordinates of the image of CAT after a reflection over the y-axis?
C'(-2,10), A'(1,8), T'(0,9)
200
What is the image of M(4,-5) after a clockwise rotation of 270 degrees?
M'(5,4)
200
What is the scale factor for the dilation displayed in the points below?
W(10,-6) -> W'(-5,3)
k=-1/2
200
Given the point Y(-4,5) What is the coordinate of the image of point Y after R270 and T3,-1.
Y'(8,3)
300
Given triangle XYZ with vertices X(-2,-3), Y(-3,-3), and Z(-6,-1), what are the coordinates for X'Y'Z' after a translation of
(x,y) -> (x-2,y+1)
X'(-4,-2) Y'(-5,-2) Z'(-8,0)
300
Segment PQ has endpoints P(5,4) and Q(7,-4). What are the coordinates of the image of PQ after a reflection over the line y=x?
P'(4,5) and Q'(-4,7)
300
What is the minimum number of degrees it a regular hexagon can rotate to carry the hexagon onto itself?
60 degrees
300
If the line represented by
y=3/2x-5
is dilated by a scale factor of 4 at the origin, what is the equation of the image of this line?
y=3/2x-20
300
Given triangle GHI with vertices G(0,0), H(3,0) and I(1,4). What is the coordinates of the image of GHI after a translation of 3 to the left and a dilation with scale factor of 3 centered at the origin.
G'(-9,0), H'(0,0), I'(-6,12)
400
What is the preimage of B'(7,4) when the translation rule is,
(x,y) -> (x-2, y+9)
B(9,-5)
400
Given two examples of a reflection that would map this rectangle onto itself.
x axis (y=0), x=4, y=5/2x-10, y=-5/2x+10
400
What is the preimage of U'(10,2) after a rotation of 90 degrees counterclockwise?
U(2,-10)
400
Quadrilateral DEFG has a perimeter of 14 and an area of 22. What will the perimeter and area be of the image of quadrilateral DEFG after a dilation with a scale factor of 3?
Perimeter = 42
Area = 198
400
Given segment QP with vertices Q(-6,-3) and P(0,-9). What is the coordinates of the image of QP after a dilation with scale factor 1/3 with a center of dilation at the origin and a reflection over the line y= -x.
Q'(1,2) and P'(3,0)
500
Triangle ABC has vertices A(5,3), B(7,4) and C(6,-1). After a translation, A' is mapped onto point C. What is the rule for this translation?
(x,y) -> (x+1,y-4)
500
Rectangle FROG has endpoints F(2,1), R(2,3), O(-3,3) and G(-3,1). What are the coordinates of the image of FROG after a reflection over the line y=-x?
F'(-1,-2), R'(-3,-2), O'(-3,3) G'(-1,3)
500
Triangle TRI has endpoints T(-4,3), R(5,2) and I(1,-3). What are the coordinates of the image of TRI after a 90 degree counterclockwise rotation?
T'(-3,-4), R'(-2,5) and I'(3,1)
500
Find the coordinate of the image of triangle ABC with vertices A(21,7), B(35,-49), and C(70,-7) after a dilations with scale factor 1/7.
A'(3,1), B'(5,-7), and C'(10,-1)
500
Given triangle ABC with vertices A(7,-2), B(4,-2) and C(4,-7). What is the coordinates of the image of ABC after a reflection over the y=x axis, a rotation of 90 degrees clockwise around the origin, and a translation of 4 units down.
A'(7,-2) B' (4,-2) and C'(4,3)