Unit 3- Coordinate Methods
Lesson 1 Homework
1a. Parallelogram, Rhombus, Rectangle, Square
b. Square, Rectangle
c. Rhombus, Square, Kite
d. Square, Rhombus
e. Square, Rectangle
f. Square, Rectangle, Rhombus, Parallelogram
g. Square, Rectangle, Rhombus, Parallelogram
2a. 5 b. 35 c. -47 d. 12 e. 1/2 f. -108
3a. m=4/5 b. m=-1/6 c. 1
5a. AB=5 b. CD= 3.61
6. Right Angle: <C Slope of BC=1/4 Slope of AC=-4
Proof: Since 1/4 and -4 are opposite reciprocals, BC and AC are perpendicular, which makes the angle between them 90°. This makes triangle ABC a right triangle.
7a. (-3, 3) b. (-3.5, -.5) c. (-2, -.5)
Lesson 2 Homework
1a. (x+5)^2+(y-6)^2=49 b. (x+3)^2+y^2=8
2a. Translation right 2 down 3 b. Rotation CC 90degrees
A(-4,2)->A'(-2,-1) P(0,4)->P'(-4,0)
B(-1,1)->B'(1,-2) Q(-1,3)->Q'(-3,-1)
C(-3,5)->C'(-1,2) R(0,1)->R'(-1,0)
S(1,3)->S'(-3,1)
c. Reflection over y-axis d. Rotation CC 180degrees
D(-4,-2)->D'(4,-2) L(2,0)->L'(-2,0)
E(-2,-5)->E'(2,-5) M(5,3)->M'(-5,-3)
F(-1,-3)->F'(1,-3) N(4,4)->N'(-4,-4)
K(2,3)->K'(-2,-3)
4a. Dilation of magnitude 3 b. Reflection over y axis then Translation right 8 OR Translation left 8 then reflection over y axis
c. Dilation of magnitude 1/2 d. Reflection over x axis then translation down 4 OR Translation up 4 then reflection over x axis
5a. (x,y)->(-y,x)
b. (x,y)->(x,-y)
c. (x,y)->(x+3,y-5)
d. (x,y)->(1/2x,1/2y)
6a. y=-4/7x+10/7
b. y=-2x+2/3
c. y=1/2x+20/3
d. y=-1/12x+16
1a. Parallelogram, Rhombus, Rectangle, Square
b. Square, Rectangle
c. Rhombus, Square, Kite
d. Square, Rhombus
e. Square, Rectangle
f. Square, Rectangle, Rhombus, Parallelogram
g. Square, Rectangle, Rhombus, Parallelogram
2a. 5 b. 35 c. -47 d. 12 e. 1/2 f. -108
3a. m=4/5 b. m=-1/6 c. 1
5a. AB=5 b. CD= 3.61
6. Right Angle: <C Slope of BC=1/4 Slope of AC=-4
Proof: Since 1/4 and -4 are opposite reciprocals, BC and AC are perpendicular, which makes the angle between them 90°. This makes triangle ABC a right triangle.
7a. (-3, 3) b. (-3.5, -.5) c. (-2, -.5)
Lesson 2 Homework
1a. (x+5)^2+(y-6)^2=49 b. (x+3)^2+y^2=8
2a. Translation right 2 down 3 b. Rotation CC 90degrees
A(-4,2)->A'(-2,-1) P(0,4)->P'(-4,0)
B(-1,1)->B'(1,-2) Q(-1,3)->Q'(-3,-1)
C(-3,5)->C'(-1,2) R(0,1)->R'(-1,0)
S(1,3)->S'(-3,1)
c. Reflection over y-axis d. Rotation CC 180degrees
D(-4,-2)->D'(4,-2) L(2,0)->L'(-2,0)
E(-2,-5)->E'(2,-5) M(5,3)->M'(-5,-3)
F(-1,-3)->F'(1,-3) N(4,4)->N'(-4,-4)
K(2,3)->K'(-2,-3)
4a. Dilation of magnitude 3 b. Reflection over y axis then Translation right 8 OR Translation left 8 then reflection over y axis
c. Dilation of magnitude 1/2 d. Reflection over x axis then translation down 4 OR Translation up 4 then reflection over x axis
5a. (x,y)->(-y,x)
b. (x,y)->(x,-y)
c. (x,y)->(x+3,y-5)
d. (x,y)->(1/2x,1/2y)
6a. y=-4/7x+10/7
b. y=-2x+2/3
c. y=1/2x+20/3
d. y=-1/12x+16
