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Vocabulary
Translations
Reflections
Rotations
Dilations
100
A transformation in which a graph or geometric figure is picked up and moved (left/right/up/down) to another location without any change in size or orientation.
What is translation?
100
The notation for a figure that is translated 3 units left. (Write down your answer to compare before checking the correct answer).
What is (x,y)->(x-3,y)? (*Note, if you didn't have it EXACTLY as it appears above, it is not correct*)
100
The equation for the line of reflection if a figure is reflected over the y-axis.
What is x=0?
100
This particular angle of rotation creates the same image regardless of whether it's rotated clockwise or counterclockwise.
What is a rotation of 180 degrees?
100
Enlargement or Reduction: Dilation by a scale factor of 4/3.
What is enlargement?
200
The transformation that is a makes the resulting image mirrored over a line
What is a reflection?
200
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by (x,y)-> (x+2, y-5). (Write down your answer to compare before checking the correct answer).
What is A'(4, -1)?
200
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis. (Write down your answer to compare before checking the correct answer).
What is X'(-3, -1)? Reminder: reflecting over the x-axis has the rule: (x,y)-> (x,-y)
200
The rotation that creates the same image as a rotation 270 degrees clockwise.
What is a rotation 90 degrees counterclockwise?
200
Determine the scale factor: B(2, 5) and B'(1, 2.5).
What is scale factor = 1/2?
300
The transformation that is a makes the resulting image larger or smaller
What is a dilation?
300
Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by the rule (x,y)->(x-5, y+1). (Write down your answers to compare before checking the correct answer).
What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)? (*Note, if you didn't get all three coordinates correct, you do not get the points for this problem).
300
The coordinates of M', N', and O' when triangle MNO with M(-2, -4), N(-3, 1), and O(0, 2) is reflected over the line x=2. Hint- a picture would help for this one! (Write down your answer to compare before checking the correct answer).
What is M'(6, -4), N'(7, 1), and O'(4, 2)? (When you sketched x=2, it should have been a vertical line crossing the x-axis at x=2.)
300
The coordinate mapping rule for a rotation clockwise of 90 degrees.
What is (x, y)-->(y, -x) Note- you must have the EXACT rule from above to get the points.
300
If A(3, 6), and B (-9,0). Find the coordinates of A' and B' after the following transformation: (x,y)--> (1/3 x, 1/3 y)
What is A'(1, 2) and B'(-3, 0)?
400
A transformation in which a figure turns around the origin.
What is rotation?
400
Find the coordinates of M' and N' when segment MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up. (Write down your answer to compare before checking the correct answer).
What is M'(1, 1) and N'(2, -1)? (*Note, you need to get both correct in order to receive the points).
400
The line of reflection when A(-2, 0), B(1, 3), and C(3, -4) is reflected to A'(-2, -2), B'(1, -5), and C'(3, 2). Hint: make a picture!
What is y=-1? (Remember that y=# is a horizontal line crossing the y-axis). You do not get the points if you just said -1 or x=-1
400
This angle of rotation maps (x, y)-->(-y, x). You MUST specify the angle and the direction.
What is rotation 270 degrees clockwise? or What is rotation 90 degrees counterclockwise? (Either answer will get you points)
400
Find the coordinates of Y' when X(12, 4), Y(8,2) and Z(-4,0) are dilated by a scale factor of 1/4.
What is Y'(2, 1/2)?
500
A transformation that preserves size (i.e. the image size is congruent to the pre-image)
What is an isometric transformation?
500
The coordinate mapping rule when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3). (Write down your answer to compare before checking the correct answer).
What is (x, y)-->(x, y-4)? (Note, you must have an answer that looks EXACTLY like that above to receive the points)
500
The line of reflection when X(-4, 0), Y(-2, -2), and Z(0, -8) is reflected to X'(-2, 0), Y'(-4, -2), and Z'(-6, -8). Hint: make a picture!
What is x=-3? (Remember that x=# is a vertical line crossing the x-axis). You do not get the points if you just said -3 or y=-3
500
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees. (Write down your answer to compare)
What is A'(3, 2) and B'(1, -2)? You must get both all of the coordinate points correct for both A' and B' in order to get points.
500
Find the coordinates of B when A'(-5, 0), B'(4, -10), and C'(2,4) and triangle ABC had undergone the transformation (x,y)-->(2x, 2y)
What is B(2,-5)? Remember B is the pre-image, and B' is the image!