Translations
Rotations
Reflections
Sequences
Vocabulary
100
Label and state the prime image of A(1, 4) after a translation 4 units up and 5 units left?
A'(-4, 8)
100
When we are rotating by positive degrees, do we move clockwise or counter clockwise?
Counter-clockwise
100
True or False: Reflections preserve size and orientation.
False - orientation is not preserved under a reflection.
100
What is the general notation for a translation and what do each of the letters represent?
T is for translation, a is left or right, and b is up or down.
100
What is the definition of an image?
A figure or points after transformation has been performed
200
Translate L(-3, -2) A(0, -1) D(3, -2) 1 unit right and 3 units up.
L'(-2, 1) A'(1, 2) D'(4, 1)
200
True or False: Rotating a figure 90 degrees is NOT the same as rotating a figure -270 degrees.
False - rotating a figure 90 degrees IS the same as rotating a figure -270 degrees.
200
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H'(-7, -9)
200
How do you read a composition of transformations (think direction)?
From right to left
200
When you rotate an image clockwise, are you rotating by a positive or negative degree?
You are rotating by a negative degree if you are rotating clockwise.
300
What is the rule for the translation if the points are going from A(-3, -4), B(-1, -5) to A'(3, -4), B'(5, -5)?
(x,y) -> (x + 6, y)
300
What is the new image of Z(-4, 0) if you rotate it 270 degrees?
Z'(0, 4)
300
What are the points of the new image D(-1, -4) E(2, -4) F (2, 5) after a reflection over the y-axis?
D'(1, -4) E'(-2, -4) F'(-2, 5)
300
What is the general notation for a reflection and a rotation and what do each of the letters represent?
r is for reflection, m is the line of reflection.
R is for rotation, c is for center of rotation, theta is for angle of rotation.
300
What does it mean for two figures to be congruent?
They must be the same size and the same shape.
400
What is the coordinate point of the pre-image A given that A' is (8, -7) and underwent (x,y) -> (x - 2, y + 3)
A(10, -10)
400
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
400
What is the line of reflection if L(1, 4) M(1, 0) N (3,0) mapped to L'(5, 4) M'(5, 0) N'(3, 0)?
reflection over the line x = 3
400
What would A' be if you take the point A(-3, 6) and perform the following sequence of transformations?
A' (-6, -1)
400
What is the definition of the pre-image?
A figure or points before a transformation has been performed
500
What is the new image of A(2, 4) B(3, -6) C( -6, -6) given (x, y) --> (x + 4.5, y - 2.3)?
A'(6.5, 1.7) B'(7.5, -8.3) C'(-1.5, +8.3)
500
What is the pre-image of M'(-2, 2) N'(-1, -2) O'(-3, -3) after a rotating of -180 degrees?
M(2, -2) N(1, 2) O(3, 3)
500
What is the pre-image of A'(4, 0) B'(5, 1) and C'(4, -4) if it underwent r y=x?
A(0, 4) B(1, 5) C(-4, 4)
500
Write a composition of transformations that maps shape D to shape G.
500
What is an isometry, or rigid motion?
Transformation that changes position without changing size or shape of figure.