Translations
Where is the image of point A(1, 4) after a translation 4 units up and 5 units left?
A'(-4, 8)
An object is located entirely in quadrant 1. It is rotated 90 degrees clockwise. What quadrant is the image in?
Quadrant 4
True or False: A dilation is not a rigid motion transformation.
True - A dilation is not a rigid motion transformation because it does not preserve the size of the shape.
What is the definition of a prime image?
Shape after transformation has been performed
Figure L(-3, -2), A(0, -1), and D(3, -2) is translated 1 unit right and 3 units up. Where is the image of figure LAD?
L'(-2, 1) A'(1, 2) D'(4, 1)
True or False: A 90 degree clockwise rotation is the same as a 270 degree counterclockwise rotation.
What are the coordinates of point H(-7, 9) after reflection across the x axis?
H'(-7, -9)
Where is the image of G(8, 10) after dilation by a factor of 25?
G'(200, 250)
When you rotate an image clockwise, are you turning it to the right or the left?
A clockwise rotation is the same as turning to the right.
Points A(-3, -4) and B(-1, -5) are translated, resulting in points A'(3, -5) and B'(5, -6). Describe the translation.
(x, y) --> (x + 6, y - 1)
OR:
6 units to the right, 1 unit down
Where is the image of Z(-4, 0) after a 270 degree counterclockwise rotation?
Z'(0, 4)
What are the points of the new image D(-1, -4) E(2, -4) F (2, 5) after a reflection across the x-axis?
D'(-1, 4) E'(2, 4) F'(2, -5)
A(-2, 3) is dilated to produce A'(-0.9, 1.35). What is the scale factor?
0.45
Point A' (8, -7) is the image of point A after a translation of (x, y) --> (x - 2, y + 3). What are the coordinates of point A?
A(10, -10)
How many degrees was the figure rotated if the new image of X(-4, 2) Y(-4, 0) Z(0, 3) is X'(4, -2) Y'(4, 0) Z'(0, -3)?
Rotation of 180 degrees
Points L(1, 4), M(1, 0), and N (3,0) are reflected to create L'(5, 4), M'(5, 0), and N'(3, 0). What is the equation of the line of reflection?
x = 3
Points A(-4, -6.2), B(1/2, 1/3), C(-5, -7) are dilated by a scale factor of 1/8. What are the coordinates of the points after dilation?
A(-1/2, -31/40) B'(1/16, 1/24) C'(-5/8, -7/8)
True or false: all four stars on the Chicago flag have the same orientation.
True, because all four stars are pointing the same way.
What are the coordinates of A(2, 4), B(3, -6), and C( -6, -6) after the translation (x, y) --> (x + 4.5, y - 2.3)?
A'(6.5, 1.7) B'(7.5, -8.3) C'(-1.5, -8.3)
Points M (-2, 2), N (-1, -2), and O (-3, -3) are rotated 180 degrees clockwise. What are the coordinates of the points after the rotation?
M'(2, -2) N'(1, 2) O'(3, 3)
Triangle A'B'C' is the image of triangle ABC after reflection across the line y=x. If A' = (4, 0), B' = (5, 1), and C' = (4, -4) what are the coordinates of the original points A, B, and C?
A(0, 4) B(1, 5) C(-4, 4)
Points D'(-8, -12) E'(-8, 12) F'(12, -8) were created by dilating points D, E, and F by a factor of 2. What are the coordinates of D, E, and F?
D(-4, -6) E(-4, 6) F(6, -4)
What is the definition of rigid motion transformation?
Transformation that changes position without changing size or shape of figure.