Mrs. Bisgaard's Class
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  • Pre-Calculus
    • Semester 1 >
      • Chapter 1- Functions & Mathematical Models
      • Chapter 5- Periodic Functions & Right Triangles
      • Chapter 6- Applications of Trigonometric & Circular Functions
      • Chapter 7- Trigonometric Function Properties & Identities, & Parametric Functions
      • Chapter 8- Properties of Combined Sinusoids
    • Semester 2 >
      • Chapter 9- Triangle Trigonometry
      • Chapter 2- Properties of Elementary Functions
      • Factoring (Mini Unit)
      • Chapter 4- Polynomial & Rational Functions
      • Chapter 15- Sequences & Series Non-linear Functions and Equations
    • Semester Exams

Unit 3- Coordinate Methods

Unit 3 Test Review
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




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  • Home
  • Pre-Calculus
    • Semester 1 >
      • Chapter 1- Functions & Mathematical Models
      • Chapter 5- Periodic Functions & Right Triangles
      • Chapter 6- Applications of Trigonometric & Circular Functions
      • Chapter 7- Trigonometric Function Properties & Identities, & Parametric Functions
      • Chapter 8- Properties of Combined Sinusoids
    • Semester 2 >
      • Chapter 9- Triangle Trigonometry
      • Chapter 2- Properties of Elementary Functions
      • Factoring (Mini Unit)
      • Chapter 4- Polynomial & Rational Functions
      • Chapter 15- Sequences & Series Non-linear Functions and Equations
    • Semester Exams