III. GEOMETRY
A . Angles
1. Types—acute, right, obtuse
2. Complements and supplements
3. Vertical angles
B . Lines
1. Parallel lines and their angles
2. Perpendicular lines
C. Triangles
1. Sum of the angles
2. Congruent triangles
3. Similar triangles
4. Special triangles
a) Isosceles
b) Equilateral
c) Right (Pythagorean Theorem)
5. Vectors
D . Polygons
1. Quadrilaterals
a) Parallelogram
b) Rectangle
c) Square
d) Rhombus
e) Trapezoid
f) Regular Polygons
E. Circles
1. Special lines and their related angles
a) Radius and diameter
b) Chord
c) Tangent
d) Secant
2. Angle and arc measurement
3. Polygons inscribed in circles
F . Perimeter and area
1. Triangles
2. Polygons
3. Circles
a) Circumference and arc length
b) Area of sectors and segments
G . Volume
1. Pyramid
2. Prism
3. Cylinder
4. Cone
5. Sphere
6. Cube
7. Rectangular solid
H . Coordinate geometry
1. Coordinate representation of points
2. Distance between two points
3. Midpoint of a line segment
4. Slope of a line
5. Parallel and perpendicular lines
I. Basic trigonometry
1. Definitions of sine, cosine, tangent
2. Trigonometry in special triangles
a) 30°–60°–90° triangle
b) Isoceles right triangle
3. Trigonometric problems
a) Angle of elevation
b) Angle of depression

IV. FUNCTIONS AND THEIR GRAPHS
A . Relations and functions
1. Ordered pairs
2. Function notation
3. Domain and range
4. One-to-one functions
5. Inverse functions
6. Combining functions
a) Addition, subtraction, multiplication, division
b) Composition
B. Graphs
1. Linear
a) Slope
b) Intercepts
2. Special functions
a) Absolute value function
b) Step functions
3. Polynominal and rational functions
a) Quadratic—parabola
i. Axis of symmetry
ii. Vertex
b) Cubics
c) Hyperbola of the form xy = k
4. Related non-function graphs
a) Circle
b) Ellipse
c) Hyperbola of the form ax2 – by2 = c
5. Graphs of inverse functions