Translations
State the prime image of A(1, 4) after a translation 5 units left and 4 units up?
A'(-4, 8)
When we are rotating by positive degrees, do we move clockwise or counter clockwise?
Counter-clockwise
True or False: Reflections preserve size and orientation.
False - orientation of the figure is not preserved under a reflection.
A reflection will _____ change the orientation of a figure.
Always
Describe how the algebraic rule (x, y) --> (x - 2, y + 3) would affect a graphed point?
It would move left 2 and up 3
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.
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H'(-7, -9)
A relection will _____ change the size of a figure.
When you rotate an image clockwise, are you rotating by a positive or negative degree?
You are rotating by a positive degree if you are rotating clockwise.
Translate L(-3, -2) A(0, -1) D(3, -2) down 3 units. What are the new coordinates of L, A and D?
L'(-3, -5) A'(0, -4) D'(3, -5)
True or False:The orientation of the vertices stay the same when a figure is rotated.
True - If you circle the same letter in pre-image and image and go clockwise (or counterclockwise) the letters will be in the same order.
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)
A rotation will _____ change the orientation of a vertices.
Never
Which transformation does not preserve congruency?
Dilation
Write the algebraic rule for the translation for the points A(-3, -4) to A'(3, -4), and B(-1, -5) to B'(5, -4)?
(x, y) -->(x + 6, y)
What is the new image of Z(-4, 0) if you rotate it 270 degrees?
Z'(0, 4)
The rule (x, y) --> (-x, y) was applied to a point. What transformation took place?
Reflection over the y-axis.
A dilation will _____ make a figure larger.
Sometimes
What does orientation of the figure mean?
The direction the figure is facing.
What is the new image of A(2, 4) B(3, -6) C( -6, -6) given (x, y) --> (x + 4, y - 2)?
A'(6, 2) B'(7, -8) C'(-2, -8)
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
If triangle S(-3, 2) A(-7, 1) D(-5, 6) was reflected over the x-axis. In what quadrant would the image be in?
Quadrant III
A translation will _____ perserve congruency.
Always
What happened to a figure if it changed?
A transformation occured.