Translation
What is a Translation?
A translation is when you move a point right, left, up, or down.
What is A reflection?
A transformation representing a flip of a figure
What are the new coordinates of (3,-2) after you reflect the point over the x-axis and translate it up 6 and right 4?
The answer is (1,4)
What is a rotation?
A turn around a fixed point.
What is a Dilatation?
A transformation that changes the size of a figure.
If the point (5,7) is translated up 5 units and right 6 units, what would the new coordinates be?
The answer is (11,12)
If the point (-8,4) was reflected over the x-axis, What would the new coordinates be?
The answer is (8,4)
This property sometimes changes under a rotation.
The location
What is the arrow rule for a 270 degree rotation CCW?
(X,Y) -> (Y,-X)
What are the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.
The answer is (12,-8).
Write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up.
The answer is (x-3,y+7)
Write the notation of point (x,y) after it is reflected over the y-axis.
The answer is (-x,y)
What are the new coordinates of (10,12) if you translate the point three units left and 4 units up and rotated 180º CW and reflected over the x-axis?
The answer is (7,-16)
Write the notation of point (x,y) after it rotates 90º clockwise
The answer is (y,-x)
Properties that are preserved under a dilation
Shape and orientation
Describe the translation
(x,y) --> (x + 8, y + 4)
A translation of 8 units to the right and 4 units up
A image with one point (-3,4) was reflected over the line y=x. What should be the new coordinates of the point?
The answer is (4,-3)
Which transformation does not result in a congruent figure?
A dilation
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). What will be the coordinates of R be after the rectangle is rotated 90º counterclockwise about the origin?
The new coordinates would be (1,6)
Line CD was dilated 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) D (3,1)
What are the new coordinates for LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
The answer is L'(6,-1), M'(12,0), N'(9,5)
Graph rectangle DEFG after a reflection over the line y=x. D(5,6) E(5,8) F(9,8) G(4,5)
The answer is D' (6,5) E' (8,5) F' (8,9) G' (5,4)
Figure ABC has vertices (12,-8) (4,-2) (2,-6) and is rotated 90º CW, Dilated by a scale factor of 2, and translated up 4 units and right 6 units. What are the new coordinates?
The answer is (-20,-10) (-4,-2) (-0,-6)
What are the new coordinates for JKL after a rotation of 180º about the origin? J(5,6) K(7,9) L (1,2)
The answer is J' (-5,-6), K' (-7,-9), L' (-1,-2)
What are the new coordinates for DEF after a dilation with a scale factor of 0.5. D(2,8) E(2,2) F(6,2)?
The answer is D'(1,4), E'(1,1), F'(3,1)