Translation
A is (-1,5) what is A' if you move the coordinates 5 units to the left and 6 units down
A' (-6,-1)
A rotation is when do this to a object
Spin
A reflection is when you do this to an object/figure
Flip it or make a mirror image of it
A dilation is when you do this to a figure.
make it bigger or smaller
What are the four properties under transformations
Shape, Size, Orientation, and location
John is translating a line from (-2,1) and (-2,4) to the coordinates (4,1) and (4,4) what direction did he move the line and how far did he move it.
To the right six units
Find the new coordinates of (5,4) after you rotate the point with 180 degree
(4,5)
Find the new coordinates of (3,-2) after you reflect the point over the x-axis
(-3,-2)
Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.
(12,-8)
Which transformation does not result in a congruent figure?
Dilation
write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up
(x-3, y+7)
Write the notation of point (x,y) after it rotates 90º clockwise.
(y,-x)
Write the Notation of (x,y) after it is reflected over the y-axis
(-x,y)
Write the notation of point (x,y) after it is dilated with r=6.
(6x,6y)
These properties change under a reflection
Orientation and Location
Describe the translation for this notation: (x,y) -->(x+8,y+4)
8 units right and 4 units up
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?
(1,6)
A picture with one point (-3,4) was reflected over the line y=x. What should be the new coordinates of point?
(4,-3)
Line segment CD was dilated around the origin by a scale factor of 2. The endpoints of the image are C' (4,0) and D' (6,2). What are the coordinates of the endpoints of the original line segment?
C(2,0) and D(3,1)
These Properties are preserved under a dilation
shape and orientation
Graph LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
L'(6,-1) M'(12,0) N'(9,5)
Graph JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2)
J(-5,-6), L(-7,-9), L(-1,-2)
DOUBLE JEOPARDY
Graph rectangle DEFG after a reflection over the line y=x. D(5,5) E(5,8) F(8,8) G(8,5)
D'(5,5) E'(8,5) F'(8,8) G'(5,8)
Graph ∆DEF after a dilation with a scale factor of 0.5. D(2,8) E(2,2) F(6,2)
D'(1,4), E'(1,1), F'(3,1)
DOUBLE JEOPARDY
This Property SOMETIMES changes under a rotation
Location