Magnitude?
the length of a vector from the initial point, the terminal point.
How do you reflect over the x-axis?
(x,y) - (x,-y)
How do you translate over the vector (a,b)?
(x+a, y+b)
How do you rotate 90 degrees CCW/270 degrees CW?
(x,y)-(-y,x)
How can you find magnitude?
MAG= 360 degrees/ order
How do you reflect over the y-axis?
(x,y)- (-x,y)
what is (a,b)?
a= height
b= vertical
How do you rotate 180 degrees?
(x,y)- (-x,-y)
What are some things with rotational symmetry?
List 2
Fans, starfish, etc
Tesselation?
Repeating pattern of 1 or more figures that cover a plane with no gaps or overlaps.
a-How do you reflect over line y=x?
b-How do you reflect over line y=-x?
a-(x,y)- (y,x)
b- (x.y)- (-y,-x)
examples-
Height=10
Vertical= 2
point (7,-4)
answer-
(7+4, 2=(-4))=
(11,-2)
How do you rotate 90 degrees CW/ 270 degrees CW?
(x,y)- (y,-x)
What are some things in the classroom with line symmetry?
List 3
white board, desk, book, etc
Symmetry?
Examples-
1- (-5,7) reflected over the x- axis?
2- (7,16) reflected over the y- axis?
1- (-5,-7)
2-(-7, 16)
example-
Height=2
Vertical=8
Point=(3,6)
answer-
(3+2, 6+8)
=(5, 14)
example-
a-Rotate point (4,7) 90 degrees CCW
b-Rotate point (5,2) 90 degrees CW
answer
a-(-7,4)
b- (2,-5)
List 4
Letter o, n, and z
butterfly
triangle
hour glass
Example-
(-9,4) reflected over line y=x
(4,-9)
Example-
Point A- (2,4)
Point B- (7,3)
Point C-(5,5)
Height= 2 Vertical= 3
Point A- (4,7)
Point B- (9,6)
Point C- (7,8)
example
a-rotate ( 6,3) 180 degrees
b- rotate ( -2,-3) 180 degrees
a- (-6,-3)
b- (2,3)
What is the order and magnitude of a 6 point star?
order-6
MAG- 360/6= 60 degrees