Name_____________________________________________________
Review Coordinate Geometry Exam
1. The coordinates of the midpoint of AB are (-7,6). If the coordinates of A are
(2, -4), what are the coordinates of B?
2. Given triangle ABC with coordinates A(1,1), B(6,4) and C(3,-5), find each of the
following:
a. Slope of the altitude to AB.
b. Length of the median to AB.
c. The equation of the median to AB.
10
8
6
4
2
-10 -8 -6 -4 -2
2
4
6
8 10
-2
-4
-6
-8
-10
3. If the line joining S(2,3) and P(7,9) is perpendicular to the line joining Q(8,k) and
R(2,4), find the value of k.
4.
The vertices of triangle PQR are P(1,2), Q(-3,6) and R(4, 8) .
a. Find the coordinates of S, the midpoint of PQ.
b. Express in radical form, the length of the median RS.
c. Write the equation of the line that is the perpendicular bisector of QR.
d. A line through point Q is parallel to PR. If the line passes through the
point (x,14), find the value of x.
10
8
6
4
2
-10 -8 -6 -4 -2
2
4
6
8 10
-2
-4
-6
-8
-10
5. Find the coordinates of the midpoint of CD: C
6. Find the distance from S to T:
7. Simplify: a) 3 50
1 3 2 1
,
2
2
D
S (x + y, a + b) T ( x – y, b-a)
b) 2 12
c) 3 15 7 6
5
3
2 2
,
3
3
8.
9.
10. Write the equation of the line perpendicular to the graph of 3x - 2y = 7 and contains
the point of intersection of the graphs of x + 2y = 7 and 4x – y = 14.5.
Answer Key:
1. (-16,16)
2. a) -5/3
b)
226
2
c) y + 5 = 15(x – 3)
3. k = -1
4. a) (-1,4) b)
41 c) y - 7 = - (x + ) d) x =1
5.
13 7 2 7 2 3
,
12
12
6.
4y2
4a 2
7. a) 15 2
2 y2
b) 4 3 c. 63 10
8. y - 5 = 2(x – 3)
9. D = (2, 0)
10. y - 1.5 =
a2
(x - 4)