Cartesian System of Coordinates
Name the quadrant in which the point is located.
1) (16, 12)
A) I
B) II
C) III
D) IV
2) (-8, 15)
A) I
B) II
C) III
D) IV
3) (-15, -5)
A) I
B) II
C) III
D) IV
4) (3, -18)
A) I
B) II
C) III
D) IV
Identify the points in the graph for the ordered pairs.
y
B
A
D
5
E
C
G
F
-5
5
x
H
J
I
K
-5
L
5) (0, 2), (4, 3)
A) F and E
B) B and C
C) C and K
D) C and E
6) (-5, -4), (0, -3)
A) A and G
B) A and J
C) G and I
D) I and J
7) (-3, 4), (2, 0), (4, -5)
A) B, F, and L
B) F, K, and L
C) A, B, and F
D) B, C, and L
Give the coordinates of the points shown on the graph.
8)
y
A
5
B
-5
x
5
-5
A) A = (6, 6), B = (2, -4)
C) A = (6, 2), B = (6, 2)
B) A = (6, 6), B = (-4, 2)
D) A = (6, 28), B = (2, -4)
9)
y
C
5
-5
x
5
D
-5
A) C = (-7, -4), D = (6, -4)
C) C = (6, -7), D = (-4, 5)
B) C = (-7, 6), D = (-4, 5)
D) C = (-7, 6), D = (5, -4)
Find the distance d(P1 , P2 ) between the points P1 and P2 .
10)
6
y
4
2
-6
-4
-2
2
6 x
4
-2
-4
-6
A)
6
B)
26
C) 7
D) 5
11)
8
y
6
4
2
-8
-6
-4
-2
2
4
6
8 x
-2
-4
-6
-8
A) 12 3
B) 12
C) 6
D) 2 5
B)
C) 7
D) 6
12) P1 = (3, 3); P2 = (3, -3)
A) 5
6
13) P1 = (2, 2); P2 = (-10, -3)
A) 26
B) 169
C) 14
D) 13
14) P1 = (0, 4); P2 = (-10, 4)
A) 2 29
B) 100
C) 10
D) 4
15) P1 = (0, 0); P2 = (-8, -9)
A) 6i 2
B) 145
C) 17
D)
145
Decide whether or not the points are the vertices of a right triangle.
16) (6, -6), (13, -6), (13, 0)
A) Yes
B) No
17) (-8, -5), (-2, -3), (-3, -8)
A) Yes
B) No
Find the midpoint of the line segment joining the points P1 and P2 .
18) P1 = (8, 2); P2 = (4, 4)
A) (3, 6)
19) P1 = (-8, 7); P2 = (5, -8)
13 15
A) ,
2 2
B) (4, -2)
C) (12, 6)
B) -13, 15
C) -
B) -9, -15
C)
3
1
,2
2
D) (6, 3)
D) -3, -1
20) P1 = (7, 1); P2 = (-16, -16)
A) 9, 15
23 17
,
2 2
D) -
9
15
,2
2
21) P1 = (0.3, -0.1); P2 = (-2.4, -1.4)
A) (-0.75, -1.05)
B) (-1.35, -0.65)
C) (-0.65, -1.35)
D) (-1.05, -0.75)
Solve the problem.
22) If (3, 2) is the endpoint of a line segment, and (7, 4) is its midpoint, find the other endpoint.
B) (11, 0)
C) (11, 6)
D) (-5, -2)
A) (7, 10)
23) If (5, 5) is the endpoint of a line segment, and (4, 1) is its midpoint, find the other endpoint.
A) (3, -3)
B) (-3, 3)
C) (3, 9)
D) (7, 13)
Plot the point in the rectangular coordinate system.
24) (1, 4)
y
6
4
2
-6
-4
-2
2
4
x
6
-2
-4
-6
A)
B)
y
-6
-4
y
6
6
4
4
2
2
-2
2
4
6
x
-6
-4
-2
-2
-2
-4
-4
-6
-6
C)
2
4
6
x
2
4
6
x
D)
y
y
-6
-4
6
6
4
4
2
2
-2
2
4
6
x
-6
-4
-2
-2
-2
-4
-4
-6
-6
25) (-5, 4)
y
6
4
2
-6
-4
-2
2
4
x
6
-2
-4
-6
A)
B)
y
-6
-4
y
6
6
4
4
2
2
-2
2
4
6
x
-6
-4
-2
-2
-2
-4
-4
-6
-6
C)
2
4
6
x
2
4
6
x
D)
y
-6
-4
y
6
6
4
4
2
2
-2
2
4
6
x
-6
-4
-2
-2
-2
-4
-4
-6
-6
26) (6, -1)
y
6
4
2
-6
-4
-2
2
4
x
6
-2
-4
-6
A)
B)
y
-6
-4
y
6
6
4
4
2
2
-2
2
4
6
x
-6
-4
-2
-2
-2
-4
-4
-6
-6
C)
2
4
6
x
2
4
6
x
D)
y
-6
-4
y
6
6
4
4
2
2
-2
2
4
6
x
-6
-4
-2
-2
-2
-4
-4
-6
-6
27) (0, 2)
y
6
4
2
-6
-4
-2
2
4
x
6
-2
-4
-6
A)
B)
y
-6
-4
y
6
6
4
4
2
2
-2
2
4
6
x
-6
-4
-2
-2
-2
-4
-4
-6
-6
C)
2
4
6
x
2
4
6
x
D)
y
-6
-4
y
6
6
4
4
2
2
-2
2
4
6
x
-6
-4
-2
-2
-2
-4
-4
-6
-6
Answer Key
Testname: EX 9 CARTESIAN SYSTEM
1) A
2) B
3) C
4) D
5) D
6) D
7) A
8) B
9) D
10) B
11) D
12) D
13) D
14) C
15) D
16) A
17) B
18) D
19) C
20) D
21) D
22) C
23) A
24) C
25) A
26) A
27) B