Translation and Reflection
Rotation and Dilation
+ - Polynomials
* polynomials
Writing Section
100
Translate Right 2 and Up 1
A’(-1, 2) B’(-2, 11) C’(1, 1)
100
8. Triangle JKL has coordinates J(2,1) K(2,6) L(4,6). What are the coordinates of after a 180° rotation around the origin
b. J’(-2, -1) K’(-2, -6) L’(-4, -6)
100
Simplify: 2x6 + 3x6
5x6
100
(x2) (2x6 + 2x3 )
(2x8 + 2x5 )
100
Given triangle LMN where L(2,2) M(8,2) and N(8,6) what are the new coordinates when it is translated down 6 and left 5
L'(-3, -4)
M' (3, -4)
N(3, 0)
x - 5
y + 6
200
D(5, –4), E(1, –1), and F(5, -3). DEF is translated 5 units left and 2 units up.
c. D’( 0 , -2 ) E’( -4, 1 ), F’( 0 , -1 )
200
Triangle JKL has coordinates J(2,1) K(2,6) L(4,6). What are the coordinates of after a 270° rotation around the origin
J’(-1, 2) K’(-6, 2) L’(-6, 4)
200
Simplify: (3x5 + 2x2 ) — (3x5 + 3x2)
3x5 — 1x2
200
(4x3+ 2x)(3x4 + 2x2 )
12x7 +14x5 +4x3
200
Simplify 5x2 (4x2)
20x4
300
What are the new coordinates after triangle ABC has reflected over the line x= –1
A’(1, 1) B’(2, -2) C’(-1, 0)
300
10. Triangle JKL has coordinates J(2,1) K(2,6) L(4,6). What are the coordinates of after a 90° rotation around the origin
c. J’(1, -2) K’(6, -2) L’(6, -4)
300
(4x6 + 3x2 ) + (2x6 + 2x2 )
6x6 + 5x2
300
(3x2 + 2x)(4x + 3)
12x3 + 17x2 + 6x
300
Given triangle LMN where L(2,2) M(8,2) and N(8,6)) what are the new coordinates when it is reflected over the x-axis
L' (2, -2)
M' (8, -2)
N' (8, -6)
400
What are the new coordinates after
triangle PQR has reflected over the x-axis
P’(2, -5) Q’(6, -2) R’(2, -2)
400
coordinates of triangle ABC
after a dilation where k=2
A’(4, 4) B’(8, 8) C’(-8, 4)
400
(4x + 3) — (2x + 3)
2x
400
(3x + 5)2
9x2 + 30x + 25
400
(5x2)(4x2 + 3)
20x4 +15x2
500
Reflect over the x-axis
500
Given the coordinates of a dilation, what is the scale factor?
A(1, -1) B(1, -10) C(-2, -10) → A’(½ , -½) B’(½ , -5) C’(-1, -5)
c. k = ½
500
Simplify: x2 — 4x
x2 — 4x
500
(6x + 4)2
c. 36x2 + 48x + 16
500
Given triangle LMN where L(2,2) M(8,2) and N(8,6) what are the new coordinates when it is rotated 180° clockwise about the origin
L' (-2, -2)
M' (-8, -2)
N' (-8, -6)