Download Other Coordinate Geometry

Other Coordinate Geometry
1.
Which point in the standard (x,y) coordinate plane below has the coordinates (-3, 5)
?
A.
B.
C.
D.
E.
2.
A
B
C
D
E
In the standard (x,y) coordinate plane shown below, what is the distance in the x
direction, in units, from point A to point B ?
A. 5
B. 4
C. 3
D. -3
E. -5
3.
In 3-dimensional space, the set of all points 12 units from the origin is:
A.
B.
C.
D.
E.
4.
a circle
a sphere
a line
a cylinder
2 parallel planes
How many ordered pairs (x,y) of real numbers will satisfy the equation 2x – 5y = 6 ?
F.
G.
H.
J.
K.
0
1
2
3
Infinitely many
5.
Which of the following shaded regions is the graph in the standard (x,y) coordinate
plane of the points that satisfy the inequality
|y|  10 ?
A.
D.
B.
E.
C.
6.
What is the distance, in units, between the points with standard (x,y) coordinates (4,
3) and (6, -2) ?
A.
5
B.
29
C.
34
D. 6
E.
39
7.
One endpoint of a diameter of a circle with center (2,-3) has coordinates (4,-2) in the
standard (x,y) plane. What are the coordinates of the other endpoint of that
diameter?
F.
G.
H.
J.
K.
8.
(2 + 5 , -3 + 5 )
(2 – 5 , -3 – 5 )
(0, -4)
(1, -5)
(6, -1)
A parabola can be defined as the set of points equidistant from a focus point and a
directrix line. What is the distance, in units, between the focus F and the point P
that are graphed in the standard (x,y) coordinate plane below?
A.
B.
C.
D.
E.
4
2 5
6
4 5
20
9.
Points A, B, and C all lie on the same line with B between A and C. The distance
from A to B is 4 times the distance from B to C. The (x,y) coordinates of A are (2,3) and the (x,y) coordinates of B are (-6,1). What are the (x,y) coordinates of C?
A.
B.
C.
D.
E.
(4,1)
(4,-4)
(0,2)
(-4,0)
(-8,2)
10. In the standard (x,y) coordinate plane below, POQ and SRQ are isosceles right
triangles with equal areas. Points O, P, Q, and R are located on the axes as shown.
Which of the following could be the coordinates of point S?
F.
G.
H.
J.
K.
( 0,14)
( 7, 0)
( 7,14)
(14, 0)
(14, 7)
11. One endpoint of a line segment in the (x,y) coordinate plane has coordinates (5,-8).
The midpoint of the segment has coordinates
(-1,4). What are the coordinates of the other endpoint of the segment?
F.
G.
H.
J.
K.
(-7,16)
(-4,-32)
(2,-2)
(3,-6)
(4,12)
12. Points X, Y, and Z lie on the same line. If the length of XY is 5 meters and the
length of YZ is 3 meters, then what are all the possible lengths, in meters, for XZ ?
F.
G.
H.
J.
K.
2 only
8 only
2 and 8 only
Any number less than 2 or greater than 8
Any number greater than 2 and less than 8
13. If the point with the coordinates (3,y1) likes on the graph of
y = -3x + 2, what is the value of y1?
F.
G.
H.
J.
K.
-7
-11
-18
-31
-35
14. What is the distance, in units, between the points (2, 3) and (4, 5) in the standard (x,y)
coordinate plane?
F.
G.
H.
J.
K.
1
2
2
2 2
4 2
15. On the number line below, what is the coordinate of the point between A and B that is
twice as far from point A as from point B ?
16. The figure below shows 2 points, P and Q, on a unit circle. What is the distance, in
coordinate units, from P to Q ?
F.
cos  cos  2  sin   sin  2
G.
2  2 cos cos   2 sin  sin 
H.
2 cos cos   sin  sin 
J.
K.
2 cos cos   sin  sin 
2 cos  sin 