What movement with a vector of <8, -5> cause on a figure?
8 units right, 5 units down
100
When A is reflected across the x-axis, the x-axis has what two relationships with the segment AA'?
x-axis is perpendicular bisector of AA'
100
What are the two things you need to know to perform a rotation?
Center and angle of rotation.
100
What two things must you know to perform a dilation?
Center of dilation and scale factor
100
What are the two types of symmetry that we learned about? Define each.
Reflectional/Line Symmetry=you can reflect the figure onto itself.
Rotational Symmetry=you can rotate the figure onto itself with a rotation of 180 degrees or less
200
Write a rule for the following translation:
Q(-6, 11) Q'(9, -3)
(x, y)-->(x+13, y-14)
200
What are the coordinate rules for reflections across the following lines:
x-axis
y-axis
y = x
x-axis: (a, -b)
y-axis: (-a, b)
y = x: (b, a)
200
What are the coordinate rules for rotations at the following degrees: 90, 180, 270?
90 (-b, a)
180 (-a, -b)
270 (b, -a)
200
If CP' = 3 and CP = 12, what is the center of dilation and what is the scale factor?
Center is C, Scale Factor is 1/4
200
Does a regular decagon have line and/or rotational symmetry? How many lines of symmetry and/or degrees of rotation?
Yes. 10 lines.
Yes. 36 degrees.
300
B is at (17, 1) and C is at (22, 5). What is the component form of vector CB?
<-5, -4>
300
What are the coordinates of point A(9, -3) after a reflection in y=x and then a reflection in x=3?
(9, 9)
300
If you rotate G(-3, 5) 270 degrees about the origin, what is the image?
G'(5, 3)
300
Set up and perform a scalar multiplication for the following polygon: A(4, 8), B(2, 3), C(5, 2), with k=3. Is this an enlargement or reduction?
Enlargement. A'(12, 24), B'(6, 9), C'(15, 6)
300
Draw a polygon with 180 degrees rotational symmetry and exactly 2 lines of symmetry.
Parallelogram/Rectangle
400
A boat is travelling at 54 meters/minute West and there is a current pushing the boat 13 meters/minute South. What is the resulting direction and speed of travel of the boat?
13.5 degrees S. of W. at 55.5 meters/minute
400
The image after a reflection in x=2 is C' at (7, 5). What was the pre-image?
(-3, 5)
400
A point F(-4, 6) was rotated about the origin to (4, -6). How many degrees was the point rotated?
180 degrees
400
Dilate segment AB with a scale factor of 2 when A(4, 2) and B(4, 6) with the center of dilation at (4, 0).
A'(4, 4)
B'(4, 12)
400
Write a word that has at least 4 letters and either line or rotational symmetry.
Hint: Use all capital letters.
BIKE, EXCEED, DIOXIDE, OTTO, BOOK, CODE, SWIMS, OHIO, HOOD,
500
A jet is flying 459 miles per hour at 19 degrees North of East. What is the component form of this vector? Round to the nearest tenth.
<434, 149.4>
500
After a reflection a point is at (1,-4). The original point was at (4, -1). What was the line of reflection?
y = -x
500
If you rotate y=2x - 3, 90 degrees about the origin, what is the equation of the new line?
y = -0.5x + 1.5
500
Dilate point C(7, 2) with a scale factor of 2 and center of dilation at (4, 0). What are the coordinates of C'?
C'(10, 4)
500
Write a rule for line and rotational symmetry based on the number of sides "n" of a regular polygon.