Vocabulary
A transformation in which a graph or geometric figure "SLIDES" to another location without any change in size or orientation.
TRANSLATION
The Algebraic notation for a figure that is translated 3 units left.
(X-3, Y)
The equation for the line of reflection if a figure is reflected over the y-axis.
x=0
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
rotation of 180 degrees
Enlargement or Reduction: Dilation by a scale factor of 4/3.
enlargement
Of the different forms of Transformations: translations, reflections, dilations, and rotations, which DOES NOT Preserve Congruency?
DILATIONS
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by 2 to the right, and 5 down.
A'(4, -1)
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
X'(-3, -1)
The rotation that creates the same image as a rotation 270 degrees clockwise.
rotation 90 degrees counterclockwise
Determine the scale factor: B(2, 5) and B'(1, 2.5).
scale factor = 1/2
The transformation that is a combination of a reflection and a translation.
A. Slide Reflection
B. Glide Reflection
C. Refleslation
D. Transflection
Glide reflection
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 5 to the left and 1 unit up.
X'(-5, 4) Y'(-2, -1) Z'(-1, 1)
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)?
The coordinate mapping for a rotation clockwise of 90 degrees.
(x, y)---(y, -x)
If A( 1,3) and B(2,0) -Find the coordinates of A" and B" after the following glide reflection: translated by 3 to the left and , 1 unit up, then reflected over y=-2.
A"(-2, -8) and B"(-1, -5)
A transformation in which a plane figure turns around a fixed center point.
ROTATION
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.
M'(1, 1) N'(2, -1)
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).
y=-1
What rotation in degrees is (X,Y) ---(-Y, X) the same as? Give BOTH Answers
90 counter-clockwise and
270 Clock-wise
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.
Y'(2, 1/2)
A transformations that starts at ( 2, 5) then is reflectioned over the Y-Axis, then translated by the rule ( X + 4, Y -6) then rotated 180 degrees. What Quadrant is the point in now?
Quadrant II.
State the Rule if the coordinates D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
(x, y - 4)
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).
x=-3
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.
A'(3, 2) and B'(1, -2)
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.
B"(0, -11)