Translations
State the image of point A(1, 4) after a translation 5 units left and 4 units up? (Include the name of the translated point)
A'(-4, 8)
When the question asks you to rotate, but does not specify clockwise or counter-clockwise, which direction do we use by default?
Counter-clockwise
Definition of a Reflection
Mirror Image
What do we call the shape we made with our transformation?
The Image/ Prime
When you zoom in or out on a photo on your phone, you are performing this type of geometric transformation.
What is Dilation?
Translate Y(-2, -3) to the right 3 units and up 3 units
True or False: Rotating a figure 90 degrees CCW is NOT the same as rotating a figure 270 degrees CW.
False - rotating a figure 90 degrees CCW IS the same as rotating a figure 270 degrees CW.
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H'(-7, -9)
Which transformation is a slide?
Translation
The image of a triangle under a dilation with a scale factor of 2 will have this relationship to the original triangle’s side lengths.
What is twice as long?
Translate L(-3, -2) A(0, -1) D(3, -2) one unit right and three units up.
L'(-2, 1) A'(1, 2) D'(4, 1)
What is the new image of Z(-4, 0) if you rotate it 270 degrees CCW?
Z'(0, 4)
What is the new coordinate of H(-8, 9) if you reflect it in the y-axis.
H'(8,9)
Which transformation is a turn or "click"?
Rotation
When the scale factor of a dilation is greater than 1, the figure undergoes this transformation.
What is an enlargement?
What is the coordinate point of the pre-image A given that A' is (8, -7) and underwent this translation: Right 2 units down 3 units
A(10, -10)
How many degrees was the figure rotated if the pre image was X(-4, 2) Y(-4, 0) Z(0, 3) and the image is X'(4, -2) Y'(4, 0) Z'(0, -3)?
Rotation of 180 degrees
What is the new coordinate of H(-1,-5) if you reflect it in the line y=x
H'(-5, -1)
The Pre-Image
When the scale factor of a dilation is between 0 and 1, the figure undergoes this transformation.
What is a reduction?
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)
What is the pre-image of M'(-2, 2) N'(-1, -2) O'(-3, -3) after a rotating 180 degrees?
M(2, -2) N(1, 2) O(3, 3)
What are the points of the new image D(-1, -4) E(2, -4) F (4, -5) after a reflection over the x-axis?
D'(-1, 4) E'(2, 4) F'(4, 5)
What is Congruency?
Congruency is same size and shape.
A dilation with a scale factor of exactly 1 results in this type of transformation.
What is no change or an identical figure?