Pre-Cal Review
Name __________________
Ch 10.1-3
Period ______
x
x
y
y
2
2
1
2
1
2
,
x
x
y
y
Learn how to use these equations midpoint =
, distance =
, and
2
1
2
1
2
2
1
1
tan
(
m
)
tan
(
n
. )
VOCABULARY
1. The __________________ of a nonhorizontal line is the positive angle θ (less than π) measured counterclockwise
from the x-axis to the line.
2. A ______________ is defined as the set of all points (x, y) in a plane that are equidistant from a fixed line, called
the _____________, and a fixed point, called the _______________ not on the line.
3. A ______________ is defined as the set of all points (x, y) in a plane that are equidistant from a fixed point called
the _________________.
4. A ______________ is the set of all point (x, y) in a plane, the sum of whose distances from two distinct fixed
points, called ____________, is constant.
SHOW YOUR WORK!!
___________________5) Find the inclination of the line 5x – 2y + 4 = 0
___________________6) Find the inclination of the line -6x – 7y = 12
7. The points represent the vertices of a triangle. (a) Draw triangle ABC in the coordinate plane, (b) find the slope of
each line, and (c) find the measure of each angle.
A = (-4,-5), B = (3,10), C = (6, -10)
a)
b) slope of AB = _____
c) measure of angle A = ______
slope of BC = _____
measure of angle B = ______
slope of CA = _____
measure of angle C = ______
In problem 8 - 14, classify the conic and write the equation in standard form. Identify the requested information, if
not applicable, put none. Then sketch the graph of the conic:
2
8) x
= - 8y
work
Conic : __________
Center : __________
Focus or Foci: ____________
Vertices : ___________
Co-vertices: _________
Directrix : _____________
Radius: ______________