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Worksheets

Coordinate Proofs

Total questions: 100

Worksheet time: 2hrs 27mins

Name
Class
Date
1.
How do you show that sides have the same length?
a)
slope formula
b)
midpoint
c)
Pythagorean theorem/distance formula
2.
How do you find the area of a triangle?
a)
bh
b)
bhl
c)
1/2bh
3.
How do you find the perimeter of a figure
a)
multiply all the sides together
b)
add all the sides together
c)
subtract all the sides together
d)
divide all the sides toghther
4.
Where is Point A on the coordinate plane?
a)
(7,4)
b)
(1,3)
c)
(9,3)
d)
(4,7)
5.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
6.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
7.
What are the two lines that make a coordinate grid called?
a)
origin
b)
Y  axis and X axis
c)
O  axis and K axis
d)
J axis and B axis
8.
What error did the student make when plotting the point (3, 4) according to the picture?                                                                                                                                                                                                                                                                                                                                                                         
a)
The student moved left along the x-axis when he should have moved right
b)
The student plotted the y-coordinate in place of the x-coordinate
c)
The student didn't make a mistake
d)
Both Options 1 and 2
9.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
10.
Find the area of the quadrilateral on the coordinate plane
a)
10 sq. units
b)
6 sq. units 
c)
8 sq. units
d)
12 sq. units
11.
a)
2
b)
4
c)
-2
d)
0
12.
In an ordered pair the first number represents which axis?
a)
x
b)
y
13.
Find the area
a)
4 units
b)
6 units
c)
24 units
d)
28 units
14.
what shape does this make
a)
rectangle
b)
parallegram
c)
trapizoid
d)
square
15.
Where do you start on a coordinate plane.
a)
scale
b)
origin
c)
beginning
d)
start
16.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
17.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
18.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
19.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
20.
Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)
a)
(-6, 14)
b)
(-4, -12)
c)
(13, -1)
d)
(5, 13)
21.
M is the midpoint of PQ. M(2,1), and P(2,5), find Q.
a)
Q(4,6)
b)
Q(0,-4)
c)
Q(2,3)
d)
P(2,6)
22.
M is the midpoint of AB. M(6,-5), and A(-2,9), find B.
a)
B(8,-14)
b)
B(14,-19)
c)
B(4,-4)
d)
B(8,-4)
23.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
24.
What is the midpoint between (-4,4) and (5,-1)?
a)
(4,5)
b)
(3,4)
c)
(1/2, 1 1/2)
d)
(7,2)
25.
10 + 5 =
a)
6
b)
4
c)
15
d)
11
26.
15 x 19 + 18 ÷ 6 = 
a)
250
b)
199
c)
400
d)
288
27.
True or False?
2(-3) + 10 = 9
a)
True
b)
False
28.
Solve the following:
-5 (- 6) + 10
a)
-1
b)
40
c)
-20
d)
21
29.
If you were graphing a polygon to create a coordinate proof where would the best place be to start?
a)
At the point (-2, 3) then graph the other corners where they land. 
b)
Start at the origin and put all the corners in the first quadrant. 
c)
It doesn't matter.
d)
Just copy the kid next to you, even if they have no idea what they are doing and they aren't even on the same question as you. 
30.
If you wanted to prove a triangle is a right triangle from a set of three points what two things would you want to use?
a)
Midpoint formula and distance formula
b)
A frying pan and a shoelace
c)
Pythagorean theorem and distance formula
d)
quadratic equation and vertex form
31.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
32.
In the equation (x+2)2+(y+3)2=49, the radius of the circle is...
a)
14
b)
98
c)
7
d)
49
33.
In the equation (x+2)2+(y+3)2=49, the center of the circle is at....
a)
(2, 3)
b)
(3, 2)
c)
(-3, -2)
d)
(-2, -3)
34.
The image provided is the equation of a(n)...
a)
circle
b)
ellipse
c)
parabola
d)
hyperbola
35.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
36.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
37.
A bicycle tire has a diameter of 27 inches. What is the radius?
a)
27π
b)
13.5
c)
81
d)
25π
38.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
39.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
40.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
41.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
42.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
43.
What is the radius?
a)
18
b)
72
c)
38
d)
14
44.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
45.
What is the circumference of a circle with a diameter of 10 meters?
a)
5 meters
b)
15.7 meters
c)
3.14 meters
d)
31.4 meters
46.
What is/are the formula(s) to find the area of a circle?
a)
πr2
b)
2πr
c)
√π
47.
What is/are the formula(s) to find the circumference of a circle?
a)
3π6
b)
c)
2πr
48.
10 + 5 =
a)
6
b)
4
c)
15
d)
11
49.
13 + 3
a)
16
b)
13
c)
10
d)
6
50.
4 - 4 =
a)
0
b)
4
51.
9 - 9 =
a)
0
b)
9
52.
Pick the ADDITION sign
a)
-
b)
+
c)
=
53.
Pick the SUBTRACTION sign
a)
-
b)
+
c)
=
54.
13 - 3 =
a)
10
b)
11
c)
9
d)
2
55.
2 + 3 + 2 =
a)
7
b)
8
c)
9
d)
0
56.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
57.
What is the square root of 1?
a)
18
b)
27
c)
45
d)
1
58.
What is the square root of 16?
a)
16
b)
8
c)
4
d)
2
59.
What is the square root of 25?
a)
5
b)
12
c)
3
d)
6
60.
What is the square root of 4?
a)
9
b)
4
c)
2
d)
10
61.
?
a)
12
b)
13
c)
14
d)
16
62.
?
a)
2
b)
3
c)
9
d)
81
63.
22
a)
2
b)
4
c)
5
d)
6
64.
62
a)
36
b)
12
c)
25
d)
42
65.
152 = ?
a)
205
b)
225
c)
245
d)
250
66.
Which of these is a tool used in a coordinate proof?
a)
Midpoint formula
b)
screwdriver
c)
hammer
d)
level
67.
Which of these is a tool used in a coordinate proof?
a)
Distance formula
b)
screwdriver
c)
hammer
d)
cordless drill
68.
Which of these is a tool used in a coordinate proof?
a)
The coordinates used in graphing the polygon
b)
screwdriver
c)
table saw
d)
cordless drill
69.
Which of these is a tool used in a coordinate proof?
a)
Slope of lines graphed
b)
wood glue
c)
table saw
d)
cordless drill
70.
Find the diagonal length:
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
71.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
72.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
73.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
74.
Find the value of x.
a)
36
b)
12
c)
16
d)
25
75.
3 ÷ 3
a)
1
b)
3
c)
6
d)
9
76.
12 ÷ 3
a)
1
b)
3
c)
4
d)
6
77.
21 ÷ 3
a)
3
b)
12
c)
7
d)
21
78.
33 ÷ 3
a)
1
b)
10
c)
33
d)
11
79.
36 ÷ 3
a)
3
b)
10
c)
12
d)
30
80.
30 ÷ 3
a)
10
b)
11
c)
5
d)
13
81.
7x5
a)
35
b)
40
82.
5x4
a)
20
b)
24
83.
8x8
a)
64
b)
63
84.
9x9
a)
81
b)
72
85.
7x7
a)
49
b)
54
86.
56 ÷ 8
a)
5
b)
6
c)
8
d)
7
87.
9x4
a)
36
b)
72
c)
32
d)
38
88.
9x9
a)
81
b)
72
c)
90
d)
99
89.
3x2
a)
6
b)
12
c)
5
d)
9
90.
0x1
a)
0
b)
1
c)
10
d)
5
91.
6x2
a)
12
b)
18
c)
8
d)
6
92.
Given the following table, write the equation.
a)
y = 9x + 3
b)
y = 3x + 12
c)
y = 3x + 9
d)
y = 1x + 12
93.
The graph of this function is a straight line. 
a)
Linear
b)
Exponential
c)
neither
94.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
95.
Which ordered pair is a solution of
the equation
y
= 6x?
a)
(12, 2)
b)
(4, 18)
c)
(3, 18)
d)
(6, 1)
96.
Which ordered pair is a solution of
the equation y
=(1/2)x?
a)
(1, 2)
b)
(4, 1)
c)
(3, 6)
d)
(6, 3)
97.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = -1/3x
d)
y = -3x
98.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
99.
Look at y = 2x + 2. If  x is 7, what would y be?
a)
2
b)
7
c)
14
d)
16
100.
Determine the slope.
a)
m= -5/2
b)
m=5/2
c)
m=2/5
d)
m=-2/5