Vocabulary
Translations
Reflections
Rotations
Dilations/Compositions
100
A transformation in which a figure "slides" to another location without any change in size or orientation.
What is TRANSLATION ?
100
The "RULE" for a figure that is translated 3 units left.
What is (x , y ) -> (x - 3, y) ?
100
The line of reflection if a figure is reflected over the y-axis.
What is x = 0 ?
100
The angle of rotation that gives the same Image when rotated clockwise OR counterclockwise. (Degrees)
What is a rotation of 180 degrees?
100
A scale factor of 2 results in this type of dilation.
What is an ENLARGEMENT ?
200
Operations that take a point or a figure from its Pre-Image to its Image. Examples: translations, reflections, dilations, and rotations.
What are TRANSFORMATIONS.
200
The coordinates of A' if point A (2 , 4) is translated by the rule: (x , y) -> (x + 2, y - 5).
What is A' (4, -1) ?
200
The coordinates of X' when X(-3, 1) is reflected over the x-axis.
What is X'(-3, -1) ?
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
A transformation that is not an isometry.
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
(x,y) -> (x-5,y+1)
What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
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.
What is M'(6, -4), N'(7, 1), and O'(4, 2)?
300
The coordinate mapping for a rotation clockwise of 90 degrees.
What is (x, y)-->(y, -x)
300
Find the coordinates of A" and B" after the following glide reflection: translated by <-3, 1>, then reflected over y=-2.
What is A"(-2, -8) and B"(-1, -5)?
400
A transformation in which a plane figure "SPINS" around a fixed center point.
What is a ROTATION ?
400
Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.
What is M'(1, 1) and N'(2, -1)?
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).
What is y=-1?
400
This angle of rotation maps (x, y)-->(-y, x).
What is rotation 270 degrees clockwise or 90 degrees counterclockwise?
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 of a figure; e.g. reflection, rotation, and translation.
What is an ISOMETRY ?
500
The coordinates of Pre-Image R if Image R' ( 2 , 5 ) is the result of the rule:
(x ,y) -> (x + 4, y - 4)
What is R ( -2 , 9 ) ?
(You had to work BACKWARDS !!!)
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).
What is x=-3?
500
Point A (5,5) is reflected about the Y-axis, resulting in A' which is then reflected about the X-axis resulting in A''. What single transformation would take A directly onto A''?
What is a Rotation of 180 degrees?
500
Find the coordinates of B" when A(5, 0), B(5, 5), and C(2,4) undergo the following composition: translate (x, y)-->(x+6, y-5), then rotate counterclockwise 270 degrees.
What is B"(0, -11)?