Translations
Oops symmetry!
Describe the symmetry of a nonagon. If there is line symmetry, how many lines? If there is rotational symmetry, give the angle and order.
9 lines, order 9, angle of rotation 40 degrees.
If you reflect a figure to the right across two parallel lines 3cm apart, what single transformation could you have done instead?
Translation to the right 6 cm apart
If you reflect a figure across two intersecting lines that are 30 degrees apart, what single transformation could you have done instead?
Rotation 60 degrees
Dilate the figure with the given vertices T(2, 4), R(-2, 2), I(-1, 4) by a scale factor of 2 with center at the origin. Write the arrow notation for each point.
T(2, 4) ->T'(4, 4),
R(-2, 2) -> R'(-4, 4),
I(-1, 4) -> I'(-2, 8)
What planet is 3rd from the sun?
Earth
Translate S(6, -7) along the vector <1, -8>
S(6, -7) -> S'(7, -15)
Reflect the figure with the given vertices A(2, 2), R(-1, 2), T(-3, 5) across the line x = 2. Write the arrow notation for each point.
A(2, 2) -> A'(2, 2),
R(-3, 5) -> R'(7, 5),
T(1, 2) -> T'(3, 2)
Rotate the segment with vertices K(8, 4) and O(5, 15) about the origin 90o. Write the arrow notation for each point.
K(8, 4) -> K'(-4, 8)
O(5, 15) -> O'(-15, 5)
Oops Symmetry! Imagine a cube. Does it have plane symmetry? Symmetry about the axis?
Yes; both
At what angle do should you look at a measuring cup when measuring a liquid?
Directly at it. Not from above.
A sailboat has coordinates 80˚ west and 15˚ south. The boat sails 50˚ due west, then 10˚ due south. What is the boat’s final position? What single translation vector moves it from its first position to its final position?
130o west, 25o south. <-50, -10>
Reflect A(1, 2), and B(5, -7) about y = x.
A(1, 2) -> A'(2, 1)
B(5, -7) -> B'(-7, 5)
What is a negative dilation in reality?
A rotation 180 degrees and then the dilation.
Why is a dilation a rigid motion?
It changes size. Rigid motions don't change size or shape.
Which side of the hallway should you walk on? Why do we teach this?
Right side. It's also the same as driving.
Translate the quadrilateral with vertices Q(2, 1), U(3, 2), A(5, 1), D(6, 2) along the vector <4, -2>. Write the arrow notation for each point.
Q(2, 1) -> Q'(6, -1)
U(3, 2) -> U'(7, 0)
A(5, 1) -> A'(9, -1)
D(6, 2) -> D'(10, 0)
What happens to a point that is on the line of reflection? How do you label it?
Doesn't move. Label the point both A and A' for example.
BONUS (+100) - Select one: Where is Mr. Acuña from?
A. Costa Rica
B. United States
C. Spain
D. Japan
B. Parents are from Costa Rica.
In the coordinate plane, line q has slope -2 and y-intercept (0, 8). Line m is the result of dilating line q by a factor of 1/2 with center (0, -2). What is the slope and y-intercept of line m?
Line m has slope -2 and y-intercept (0, 5).
Line m has slope 1/2 and y-intercept (0, 7).
Line m has slope -2 and y-intercept (0, 3).
Line m has slope -2 and y-intercept (0, 2.5).
C
RANDOM! M is the interior of <BAT. If m<BAM = (2x)o, m<MAT = (13x)o, and m<BAT = (10 + 20)o, what is the value of x>
x = 4
∆ACU has vertices A(5, 2), C(4, 8), U(-3, -1). Reflect it across the y = -x and then translate using rule (x, y) -> (x + 4, y – 4). Write the arrow notation for each point.
A(5, 2) -> A'(-2, -5) -> A"(2, -9)
C(4, 8) -> C'(-8, -4) -> C"(-4, -8)
U(-3, -1) -> U'(1, 3) -> U''(5, -1)
How many flags are there in the room. (Country only)
26. Anything over 24 works.
XY with endpoints X(1, -2) and Y(-2, -6) is rotated 270° about the origin. Then it is reflected across the y-axis. Write the arrow notation for each point.
X(1, -2) -> X'(-2, -1) -> X"(2, -1)
Y(-2, -6) -> Y'(-6, 2) -> Y"(6, 2)
Dilate the point A(1, 5) by a scale factor of 2 from the center (-1, 1)
A(1, 5) - > A'(3, 9)
How many Great Lakes are located entirely in United States territory?
Just one: Lake Michigan