Vocabulary
Rules
One Transformation
Sequence of Transformations
Identify the Transformation(s)
100
What is a line of reflection?
The line of reflection is the line you reflect the figure over.
100
What is the rule for sliding a figure 3 units right and 2 units down?
(x + 3, y - 2) or < 3, -2 >
100
Given that triangle ABC with vertices A (0, 2), B (1, 4), and C (5, -2) was translated along the vector < 3, -2 >, what is the image of C?
C' (8, -4)
*BONUS 100 points: What quadrant is C' in?
100
R (4, 3) is transformed to R' using the following transformations:
rx-axis, ry-axis, then R180
What are the coordinates of R'?
R' (4, 3)
100
Identify the transformation.
Translation
*BONUS 100 points: What is the translation rule used from the preimage to the image?
200
What is it called when the preimage and the image are congruent?
Rigid Motions
*BONUS 100 points: What are the rigid motions?
200
State the rule for reflecting over the x-axis.
(x, y) --> (x, -y)
*multiply y by -1
*BONUS 100 points: What is the equation of the x-axis?
200
Given that triangle ABC with vertices A (0, 2), B (1, 4), and C (5, -2) was reflected over the line y = x, what is the image of A', B', and C'?
A' (2, 0), B' (4, 1), C' (-2, 5)
*BONUS 100 points: If the question asked you to reflect over the line y = 0, what is that line called?
200
Reflect the line segment XY where X (2, 3) and Y (4, -2) over the line y = 0, then translate the figure along the vector < -2, 4 >. What are the vertices of the image?
X' (0, 1)
Y' (2, 6)
200
Identify the series of transformations.
1. reflect over the y-axis, then translate < 0, -3 >
2. translate < 0, -3>, then reflect over the y-axis
*BONUS 100 points: What is the equation for the y-axis?
300
What is a preimage?
Preimage: the figure before the transformation
300
What is the rule for rotating 270 counterclockwise?
(x, y) --> (y, -x)
*BONUS 100 points: Rotating 270 CC is the same as what other rotation?
300
Given that triangle ABC with vertices A (2, 4), B (1, -4), and C (6, 1) was rotated 90o around the point (3, -7), what is the image of B?
B' (0, -9)
300
Translate the figure 3 units left and 4 down, then rotate 90 C around the origin.
A (-1, 3) B (1, 2) C (0, -1)
A' (-1, 4)
B' (-2, 2)
C' (-5, 3)
*BONUS 100 points: What is the mapping rule for the sequence?
300
A (3, 6) was transformed to A' (-6, -3). What sequence of transformations did A go through to get to the image?
rotate 180o, then reflect over y = x
90C, then reflect over y-axis
90CC, then reflect over x-axis
*BONUS 100 points: What one transformation gets A to A'?
400
What are the key words for the following transformations:
1. translation
2. reflection
3. rotation
1. slide
2. flip / mirror
3. turn
400
What is the rule for reflecting over the line y = -x?
(x, y) --> ( -y, -x)
400
Given that triangle XYZ with vertices X (2, -5), Y (0, 4), and Z (-1, -2) was reflected over the line y = -2, what are the vertices of the image triangle X'Y'Z'?
X' (2, 1)
Y' (0, -8)
Z' (-1, -2)
400
Transform triangle ABC with vertices
A (6,4), B(7,-3) and C (-2, -3) using the series of transformations:
( r x = 2 o T < 3, 2 > )
A' (-5, 6)
B' (-6, -1)
C' (3, -1)
400
What transformations map the preimage onto the image?
Rotate 90o C, then reflect over the x-axis
OR
Rotate 90o CC, then reflect over the y-axis
*BONUS 100 points: Write the transformations using the notation with the open circle.
500
What is a vertex?
A point of a figure
*100 bonus - What is the word if there is more than one vertex?
500
Without repeating these transformations, reflecting over the x-axis, then over the y-axis is the same as doing what?
180o rotation
500
A' (4, 5) was rotated 90o C around the origin. What is the coordinate point for the preimage?
A (-5, 4)
500
Transform line segment HM where H (-4, 2) and M (3, -2) using the transformations:
( r x = 0 o R (90, around (-2, 3) )
H' (1, 1)
M' (-3, 8)
500
What series of transformations maps the preimage onto the image?
Rotate 180o, then translate 4 units down OR translate 4 units up, then rotate 180o