Vocabulary
original image (figure)
Pre-Image
A(1,3) B(2,6) C( 5,2)
Translate (x-4,y)
A(-3,3) B(-2,6) C(1,2)
A(6,-1) B(2,-4) C(1,2)
Dilation K=2
A(12,-2) B(-4,8) C(-2,4)
(With graph)
A(-5,-1) B(-2,1) C(-1,-3)
Reflect over the line y=x
A'(-1,-5) B'(1,-2) C'(-3,-1)
(With graph)
A(-3,-1) B(-1,-1) C(-2,-4)
Translate (x+3, y-1)
Dilate k=2
A'(0,-2) B'(2,-2) C'(1,-5)
A"(0,-4) B" (4,-4) C"(2,-10)
(with graph)
figures that have the same shape, but not necessarily the same size.
Similar Figures
A(1,3) B(2,6) C( 5,2)
Translate (x,y+5)
A(1,8) B(2,11) C(5,7)
(with graph)
A(12,8) B(8,4) C(4,16)
k=1/4
A(3,2) B(2,1) C(1,4)
(With graph)
A(8,4) B(4,0) C(6,-4)
Reflect over the line y=x
A(4,8) B(0,4) C(-4,6)
(with graph)
A(2,-1) B(5,2) C(8,-2)
(x, y+6)
Reflection over y-axis
A'(2,5) B'(5,8) C'(8,4)
A"(-2,5) B"(-5,8) C"(-8,4)
With graph
When a figure can be mapped on itself by a reflection line
Line of symmetry
A(5,7) B(3,2) C(0,2)
(x+2, y-8)
A(7,-1) B(5,-6) C(2,-6)
(With graph)
A(1,1) B(2,4) C(4,1)
Rotate 90 degrees
New points: A(-1,1) B(2,4) C(4,1)
(With graph)
A(2,-1) B(5,2) C(8,-2)
Reflect over y-axis
A(-2,-1) B(-5,2) C(-8,-2)
(with graph)
A(-3,-2) B(-1,1) C (2,-3)
Translate:(x-4,y+3)
Rotation 180
A'(-7,1) B'(-5,4) C'(-2,0)
A"(7,-1) B"(5,-4) C"(2,0)
(With graph)
a translation followed by a reflection
Glide reflection
A(4,7) B(-1,4) C(0,-3)
(x+4, y-5)
A(8,2) B(3,-1) C(4,-8)
(With graph)
A(9,-3) B(6,0) C(3,9) D(0,0)
Dilation: k=(2/3)
A(6,-2) B(4,0) C(2,6) D(0,0)
(With graph)
A(-5,-1) B(-2,1) C(-1,-3)
Reflect over the line y=-x
A(1,5) B(-1,2) C(3,1)
(with graph)
A(1,3) B(2,6) C( 5,2)
Rotation 180
Reflect over y=-x
A'(-1,-3) B'(-2,-6) C'(-5,-2)
A"(3,1) B"(6,2) C"(2,5)
When two or more transformation are combined
Composite Transformation
A(-4,1) B(-3,3) C(0,1) D(-2,0)
(x-1, y-5)
A(-5,-4) B(-4,-2) C(-1-4) D(-3,-5)
(Graph has to match)
A(2,4) B(4,6) C(4,2)
Rotate 270 degrees
Dilation k=1/2
A'(-4,2) B'(-6,4) C'(-2,4)
A"(-2,1) B"(-3,2) C"(-1,2)
(With graph)
A(-4,-3) B(-3,4) C(-5,-4)
Reflect over the x-axis
A(-4,3) B(-3,-4) C(-5,4)
(with graph)
A(-3,-2) B(-1,1) C(2,-3)
Rotation 90
Reflect over y-axis
A'(2,-3) B'(-1,-1) C'(3,2)
A"(-2,-3) B"(1,-1) C"(-3,2)
(With graph)