him2 11­18.notebook
November 18, 2010
HIM2 11-18
a) Given a square with side length 5, find the perimeter and area.
b) If you transformed the above square using the coordinate rule
(3x, 3y) what would the new perimeter and area be?
(x, y)
c) If you transformed the square in part a using the coordinate
rule (x, y) (5x, 5y) what would the new perimeter and area be?
d) If you transformed the square in part a using the coordinate
rule (x, y) (1.5x, 1.5y) what would the new perimeter and area
be?
e) If you transformed the square in part a using the coordinate
rule (x, y) (kx, ky) what would the new perimeter and area be?
1a) reflect @ y ­ axis
preimage
rotate 90 cc
(7, 15)
(13, 6)
Perimeter
Area
(7, 2)
Original
(3x, 3y)
(5x, 5y)
(1.5x, 1.5y)
(kx, ky)
Rule (x, y)
1c) preimage
rotate 90 cc
reflect @ y axis
1)a pre image
reflect @ y axis
90 cc rotation
1Ai) Nov 17­2:40 PM
Nov 17­2:48 PM
3) preimage
2) preimage
scale factor = 2
scale factor = 1.5
(­5, 1)
translation h = 6, k = ­10
h = ­8, k = 2
(0, ­4)
(1,5)
(2, 5)
(6,2)
(8,11)
4) preimage
90 cc rotation
180 rotation
(1, 4)
(7, 1)
(12, 8)
Nov 18­8:27 AM
Nov 17­3:02 PM
6) 5) b)
preimage
preimage
reflect @ x­axis
Reflect @ y= x
(1, 5)
90 cc rotation
size mag. k = 2
(1, 4)
(7,1)
(6, 2)
(12,8)
(8, 11)
(x, y) (x, y) 7) preimage
c)
reflect @ x­axis
Reflect @ y axis
preimage
size mag k = 1/2
translation h = 3, k = ­10
(2,8)
(1, 5)
(14,4)
(6, 2)
(18,10)
(8, 11)
(x, y) Nov 17­3:02 PM
Nov 17­3:02 PM
1
him2 11­18.notebook
November 18, 2010
9) preimage
(2/3x, 2/3y)
(x, ­y)
(6, 12)
(18,0)
(12,­6)
(x, y) Nov 17­3:02 PM
2