Ch. 1 Graphs
1.1 The Distance and Midpoint Formulas
1 Rectangular Coordinates
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Name the quadrant in which the point is located.
1) (19, 6)
A) I B) II C) III D) IV
2) (-8, 9)
A) I B) II C) III D) IV
3) (-14, -7)
A) I B) II C) III D) IV
4) (2, -18)
A) I B) II C) III D) IV
Identify the points in the graph for the ordered pairs.
y
D
B 5
A E
C
G F
-5 5 x
H
J K
I
-5 L
5) (0, 2), (4, 3)
A) C and E B) F and E C) B and C D) C and K
6) (-5, -4), (0, -3)
A) I and J B) A and G C) G and I D) A and J
7) (-3, 4), (2, 0), (4, -5)
A) B, F, and L B) B, C, and L C) F, K, and L D) A, B, and F
8) (3, 5), (-3, 0)
A) D and G B) D and J C) I and G D) L and J
Page 1
,Give the coordinates of the points shown on the graph.
9)
y
B
5 A
-5 5 x
-5
A) A = (3, 4), B = (-5, 7) B) A = (4, 22), B = (7, -5)
C) A = (3, 7), B = (4, 7) D) A = (3, 4), B = (7, -5)
10)
y
5
C
-5 5 x
D
-5
A) C = (-4, 2), D = (3, -5) B) C = (2, -4), D = (-5, 3)
C) C = (-4, -5), D = (2, -5) D) C = (-4, 2), D = (-5, 3)
11)
y
E
5
F-5 5 x
-5
A) E = (-3, 5), F = (-6, -2) B) E = (5, -3), F = (-2, -6)
C) E = (-3, -2), F = (5, -2) D) E = (-6, -2) , F = (-3, 5)
Page 2
, 12)
y
5
H
-5 5 x
-5 G
A) G = (7, -6), H = (-6, 3) B) G = (-6, 7), H = (3, -6)
C) G = (7, 3), H = (-6, 3) D) G = (7, -6), H = (3, -6)
Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.
13) (4, 2)
y
5
-5 5 x
-5
A) B)
y y
5 5
-5 5 x -5 5 x
-5 -5
Quadrant I Quadrant I
Page 3
, C) D)
y y
5 5
-5 5 x -5 5 x
-5 -5
Quadrant II Quadrant IV
14) (-2, 6)
y
5
-5 5 x
-5
A) B)
y y
5 5
-5 5 x -5 5 x
-5 -5
Quadrant II Quadrant IV
Page 4
1.1 The Distance and Midpoint Formulas
1 Rectangular Coordinates
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Name the quadrant in which the point is located.
1) (19, 6)
A) I B) II C) III D) IV
2) (-8, 9)
A) I B) II C) III D) IV
3) (-14, -7)
A) I B) II C) III D) IV
4) (2, -18)
A) I B) II C) III D) IV
Identify the points in the graph for the ordered pairs.
y
D
B 5
A E
C
G F
-5 5 x
H
J K
I
-5 L
5) (0, 2), (4, 3)
A) C and E B) F and E C) B and C D) C and K
6) (-5, -4), (0, -3)
A) I and J B) A and G C) G and I D) A and J
7) (-3, 4), (2, 0), (4, -5)
A) B, F, and L B) B, C, and L C) F, K, and L D) A, B, and F
8) (3, 5), (-3, 0)
A) D and G B) D and J C) I and G D) L and J
Page 1
,Give the coordinates of the points shown on the graph.
9)
y
B
5 A
-5 5 x
-5
A) A = (3, 4), B = (-5, 7) B) A = (4, 22), B = (7, -5)
C) A = (3, 7), B = (4, 7) D) A = (3, 4), B = (7, -5)
10)
y
5
C
-5 5 x
D
-5
A) C = (-4, 2), D = (3, -5) B) C = (2, -4), D = (-5, 3)
C) C = (-4, -5), D = (2, -5) D) C = (-4, 2), D = (-5, 3)
11)
y
E
5
F-5 5 x
-5
A) E = (-3, 5), F = (-6, -2) B) E = (5, -3), F = (-2, -6)
C) E = (-3, -2), F = (5, -2) D) E = (-6, -2) , F = (-3, 5)
Page 2
, 12)
y
5
H
-5 5 x
-5 G
A) G = (7, -6), H = (-6, 3) B) G = (-6, 7), H = (3, -6)
C) G = (7, 3), H = (-6, 3) D) G = (7, -6), H = (3, -6)
Plot the point in the xy-plane. Tell in which quadrant or on what axis the point lies.
13) (4, 2)
y
5
-5 5 x
-5
A) B)
y y
5 5
-5 5 x -5 5 x
-5 -5
Quadrant I Quadrant I
Page 3
, C) D)
y y
5 5
-5 5 x -5 5 x
-5 -5
Quadrant II Quadrant IV
14) (-2, 6)
y
5
-5 5 x
-5
A) B)
y y
5 5
-5 5 x -5 5 x
-5 -5
Quadrant II Quadrant IV
Page 4