What two transformations are needed to move a figure 4 units right and then flip it over the x-axis?
Translation & Reflection
Define a Reflections
A transformation that flips a figure across a line.
What is a Rotation?
Turning a figure around a fixed point.
Define a dilation
A transformation that enlarges or reduces an image from a fixed point.
What is rigid motion?
A transformation that preserves size and shape (Translations, Reflections, and rotations)
What do h and k stand for in the coordinate notation? (x,y)->(x+h,y+k)
H is your horizontal distance
K is your vertical distance
True or False: A figure and its reflections across the y-axis are congruent.
True. Reflections preserve size and shape.
What sequence of transformations would move figure 1 to figure 2?
Rotation 90 degrees CCW
Dilations create _______ figures
SIMILAR
Give a real-life example of a reflection, rotation, translation, AND dilation that you see outside of math class.
Reflection in a mirror, rotation of a Ferris wheel, sliding a book across a desk, eyes dilating.
Give (x,y)->(x+5,y-9) in vector notation
<5,-9>
Point A(-5,-9) is reflected over the x-axis, what is the new point?
(-5,9)
After a 180° rotation about the origin, the point (5,-2) moves to where?
(-5,2)
What will happen to a figure if k=8/7
The figure will grow
Give a possible sequence of two or more transformations that map a figure onto itself.
Rotating 90 degrees then 270 degrees
A figure is translated ⟨−3,4⟩. Where does the point (2,-1) move?
(-1,3)
A rectangle is reflected across the y-axis and translated up 5. Is the new figure congruent to the original?
Yes
What transformation takes (4,-1) → (-1,-4)?
270 degrees ccw
Explain how to dilate not from the origin.
Plot your points, drawl vectors from the point of dilation to your figure, dilate your vectors, find your new primes.
If a figure has rotational symmetry, does that mean it also has point symmetry?
No, because point symmetry is exactly 180 degrees and rotational can be any rotation less than 360 degrees
A point at (1,1) is translated <2,3> and then rotated 90 degrees counterclockwise. Where does it end up?
(-4,3)
List all the lines we have reflected over in class.
x and y axis, diagonal lines y=x and y=-x, and horizontal/vertical lines x=# and y=#
What is A(8,7) if I rotate it 270 degrees CLOCKWISE
What is the scale factor if C(6,8) and C'(9,12)
k=3/2
What is my dogs name?
Goose <3