Dilations
Is the preimage congruent to the image after a dilation?
No
If coordinate P (2,1) is translated 3 units up, what is the coordinates of P'?
(2,4)
If coordinate C (9,1) is reflected over the x axis, what are the coordinates of C'?
(9, -1)
What is a function that moves or changes a figure in some way to produce a new figure?
Trasnformation
The point at (0, 6) is rotated 180o about the origin. What are the coordinates of the image of the point?
(0, -6)
If we have a transformation rule (x,y) --> (kx,ky), what is "k" referred to as?
Scale Factor
If coordinate X (3,5) is translated 2 units down, what are the coordinates of X'?
(3,3)
If coordinate I (8, 7) is reflected over the y axis, what are the coordinates of I'?
(-8, 7)
What is the word for moving a shape without changing its size, shape, or orientation?
translation
Describe the transformation of the algebraic rule below:
(x,y) --> (-x, -y)
It is a 180o rotation around the origin.
What scale factor would I need to use if I were trying to make my poster go from 8 inches wide and 12 inches long to 2 inches wide and 3 inches long?
1/4
If coordinate G (-1, -5) is translated 2 units right and 4 units up, what are the coordinates of G'?
(1, -1)
If coordinate U (0,9) is reflected over the x axis, what are the coordinates of U'?
(0, -9)
What is the word for flipping a shape over an axis?
Reflection
Which rotations result in the image being in the same location?
90o clockwise about the origin
270o clockwise about the origin
90o counterclockwise about the origin
270o counterclockwise about the origin
90o clockwise and 270o counterclockwise rotations
and
90o counterclockwise and 270o clockwise rotation
A triangle has vertices F (6,4), G (6,-2), H (2,-2) and is dilated by a scale factor of 1/2. What are the coordinates of its image?
(3,2), (3,-1), (1,-1)
If coordinate J (9,8) is translated 10 units left and 1 unit up, what are the coordinates of J'?
(-1, 9)
If coordinate V (1,1) is reflected over the Y axis and then translated up 1 unit, what is the new coordinate?
(-1, 0)
What is the original image called?
Preimage
A trapezoid has been rotated 270o counterclockwise about the origin. Is it true that the y-coordinates of the new trapezoid are the same as the y-coordinates of the original trapezoid?
No
Describe the transformation that happened to a triangle whose original points were A (-2,1), B (-1,1), C (-1,2) and the points after the transformation are A' (8,4), B' (4,4), C' (4,8).
Reflected over the y-axis
Dilation by a factor of 4
A triangle is translated 4 units down and 8 units to the right. Which translation returns it to its original location?
A (x, y) --> (x - 8, y + 4)
B (x, y) --> (x - 4, y + 8)
C (x, y) --> (x + 4, y - 8)
D (x, y) --> (x + 8, y - 4)
A (x, y) --> (x - 8, y + 4)
If coordinate H (5,7) is translated 2 units down and then reflected over the x axis, what are the coordinates of H'?
(5,-5)
What is the transformed shape called?
image
A triangle has vertices at (-2, -2), (-2, -5), and (-4, -5). The triangle is translated 2 units to the right and rotated 90o clockwise about the origin. What are the coordinates of its image?
(-2, 0), (-5, 0), (-5, -2)