WorksheetsCoordinate Geometry
Total questions: 45
Worksheet time: 54mins
Name
Class
Date
1.
Find the midpoint of the segment with the endpoints:
(6, 7) and (6, -5)
(6, 7) and (6, -5)
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
2.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
3.
Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?
a)
y = 3/2x - 6
b)
y = 2/3x + 3
c)
y = -2/3x - 2
d)
y = -2/3x + 2
4.
What is the distance between point B and point A?
a)
2 units
b)
4 units
c)
6 units
d)
8 units
5.
What is the distance between (-5, 5) and (1, -2)
a)
9.2
b)
12.6
c)
14
d)
7.8
6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
c)
C
d)
D
8.
Hint: Find all of the slopes and distances!
a)
A
b)
B
c)
C
d)
D
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
a)
A
b)
B
c)
C
d)
D
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
C
d)
D
22.
Hint: Find all of the slopes and distances!
a)
A
b)
B
c)
C
d)
D
23.
Determine if the lines are parallel, perpendicular or neither.
y = -3x - 7
y = -1/3x + 4
y = -3x - 7
y = -1/3x + 4
a)
Parallel
b)
Perpendicular
c)
Neither
24.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
25.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
26.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
27.
Determine how the lines that pass through the following pairs of points are related.
Points A&B Points C&D
A (2,5) B (-3, 3) C (-1,0) D (4,2)
Points A&B Points C&D
A (2,5) B (-3, 3) C (-1,0) D (4,2)
a)
Segment AB is perpendicular to segment CD
b)
The two segments are not related to each other
c)
Segment AB is parallel to Segment CD
d)
I don't know
28.
What formula do we use to find the length of a side of a figure?
a)
Midpoint Formula
b)
Slope Formula
c)
Quadratic Formula
d)
Distance Formula
29.
Which formula should be used to prove lines are parallel or perpendicular?
a)
Distance Formula
b)
Slope Formula
c)
Midpoint Formula
d)
Pythagorean Theorem
30.
How do you prove a quadrilateral is a Trapezoid?
a)
All sides are congruent
b)
Both pairs of opposite sides are parallel
c)
One pair of opposite sides are parallel and the other pair is not parallel
d)
One pair of congruent sides
31.
How do you prove a quadrilateral is an Isosceles Trapezoid?
a)
One pair of sides is parallel
b)
One pair of sides is parallel and the non parallel sides are congruent
c)
Opposite sides are congruent
d)
Show the figure has 4 sides
32.
(Hint: Draw a diagram)
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
Which line is perpendicular to the y-axis?
a)
y=8
b)
x=0
c)
x=4
d)
y=x
35.
a)
A
b)
B
c)
C
d)
D
36.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
37.
What is the area of the quadrilateral with vertices at (-1, 0), (2, 0), (2, 5), and (-1, 5)?
a)
15 square units
b)
12 square units
c)
10 square units
d)
5 square units
38.
What formula do you use to decide if there is a right angle based on coordinates?
a)
distance
b)
midpoint
c)
slope
d)
partitioning a segment
39.
Write an equation for a line parallel to
y = 5/4x + 4 through (-4, -3)
y = 5/4x + 4 through (-4, -3)
a)
y = 5/4x +2
b)
y = -5/4x + 2
c)
y = 2x - 5/4
d)
y = 3/4x + 2
40.
Write the equation of the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)
A(3,1) & B(-3,6)
a)
y = -5/6x + 7/2
b)
y = 6/5x + 9/2
c)
y = 6/5x + 7/2
d)
y = 6/5x + 4
41.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
42.
Which formula is the slope formula?
a)
b)
c)
d)
43.
Which formula is the midpoint formula?
a)
b)
c)
d)
44.
Which formula is the distance formula?
a)
b)
c)
d)
45.
Determine the slope of the line that is perpendicular to the line containing (3,2) and (8,6)
a)
-5/4
b)
5/4
c)
4/5
d)
2
100 %
