1. Analytic Geometry
A Recap!
1

2. Distance and Midpoint Assignment
#3. Find the coordinates of a point R on AB with A(8, 0) and B(4, ­8),
such that AR = 2RB.
9
8
7
6
5
4
3
2
1
­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 1 2 3 4 5 6 7 8 9
­1
­2
­3
­4
­5
­6
­7
­8
­9
2

3. Find a point on the x­axis that is a
distance of 10 units from the pt. (4,8).
Explain why there are two answers.
9
8
7
6
5
4
3
2
1
­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 1 2 3 4 5 6 7 8 9
­1
­2
­3
­4
­5
­6
­7
­8
­9
3

4. 4

5. Find the standard form of the equation of a
line containing (1, ­8) and (3, 4)
5

6. 6

7. Determine whether the triangle with vertices (­5, 3), (­1, ­8) and (6, ­1)
is an isosceles triangle.
7

8. Find the area of triangle ABC with
A(2, 0), B(6 ,0), and C(5, 6)
9
8
7
6
5
4
3
2
1
­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 1 2 3 4 5 6 7 8 9
­1
­2
­3
­4
­5
­6
­7
­8
­9
8

9. Find an equation of a line which passes through
the point (2, ­1) and is
a. parallel to the line 5x ­ 4y + 3 = 0
b. perpendicular to the line x + y ­ 2 = 0
9

10. Find the area of the triangle formed by the following 3 lines.
l1: x­axis
l2: y­axis
l3: 2x ­ y + 6 = 0 9
8
7
6
5
4
3
2
1
­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 1 2 3 4 5 6 7 8 9
­1
­2
­3
­4
­5
­6
­7
­8
­9
10

11. 11

12. 12

13. 13

14. 14