Translations
Rotations
Reflections
Vocabulary
100
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)
100
Which direction do we typically rotate? Clockwise or counter-clockwise
Counter-clockwise
100
True or False: Reflections preserve congruency and orientation.
False - orientation is not preserved under a reflection.
100
What do we call the shape we made with our transformation?
The Image.
200
Write the rule of translation for the picture below.
(x,y) (x-5, y+3)
200
True or False: When rotating a shape, it should remain in the same position of the graph.
False - Rotating a shape will make the shape move quadrants on the graph.
200
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H'(-7, -9)
200
If your triangle is in the second quadrant, how many degrees do you need to rotate to put the image in the fourth quadrant?
180 degrees
300
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)
300
What is the new image of Z(-4, 0) if you rotate it 270 degrees?
Z'(0, 4)
300
What are the points of the new image D(-1, -4) after a reflection over the x-axis?
D'(-1, 4)
300
How do we mark our transformed points?
With an apostrophe (prime marking)
400
What is the coordinate point of A' given that A is (8, -7) and underwent this translation: (x,y) ->(x - 2, y + 3)
A'(6,-4)
400
How many degrees was the figure rotated if the pre-image was Z(0, 3) and the image is Z'(0, -3)?
Rotation of 180 degrees
400
What is the line of reflection if L(1, 4) became L'(-1, 4)?
Reflection over the y-axis.
400
What does orientation mean?
The direction a shape is facing.
500
What is the new image of B(3, -6) given (x, y) --> (x + 4, y - 2)?
B'(7, -8)
500
What is the pre-image of N(-1, -2) after a rotating 90 degrees?
N'(2,-1)
500
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)
500
What does congruency mean in terms of shapes?
Congruency is same size and shape.