Translations
State the image of point A(1, 4) after a translation 4 units up and 5 units left? (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
True or False: Reflections preserve congruency and orientation.
False - orientation is not preserved under a reflection.
True or False: A dilation does not produce a congruent image.
True - A dilation's image is not congruent to its pre-image because it does not preserve the size of the shape.
What do we call the shape we made with our transformation?
The Image.
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)
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)
What is the new image of G(8, 10) if it undergoes a dilation by a factor of 25?
G'(200, 250)
If your triangle is in the second quadrant, how many degrees CCW do you need to rotate to put the image in the fourth quadrant?
180 degrees CCW
Write the following translation using its algebraic representation:
A(-3, -4), B(-1, -5)
A'(3, -4), B'(5, -5)
(x,y) -> (x + 6, y)
What is the new image of Z(-4, 0) if you rotate it 270 degrees?
Z'(0, 4)
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 the scaling factor if point A(-2, 3) dilates to point A'(-1, 1.5)?
k = .5 or 1/2
What is the difference between an enlargement of a shape and a reduction?
Enlargement is a dilation with a scaling factor bigger than 1, Reduction is a dilation with a scaling factor between 0 and 1.
What is the coordinate point of the pre-image A given that A' is (8, -7) and underwent this translation: (x,y) ->(x - 2, y + 3)
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 line of reflection if L(1, 4) M(1, 0) N (3, 0) became L'(-1, 4) M'(-1, 0) N'(-3, 0)?
Reflection over the y-axis.
Dilate the pre image with the scaling factor k = 1/3
A(9, -6) B(12, 3) C(0, -3)
A'(3, -2) B'(4, 1) C'(0, -1)
What does orientation mean?
The direction a shape 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)
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 is the pre-image of A'(4, 0) B'(5, 1) and C'(4, -4) if it underwent reflection over the x-axis?
A(4, 0) B(5, -1) C(4, 4)
What is the original image of D'(-8, -12) E'(-8, 12) F'(12, -8) if it underwent a dilation by a scale factor of k=2?
D(-4, -6) E(-4, 6) F(6, -4)
What is the difference between congruency and similarity?
Congruency is same size and shape, similarity is same shape, different size.