User: Courtney Thompson
In Course: Geometry V8 ( 2167)
Instructor: Tracie Morgan
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1_06 Quiz
Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.
Instructions: Please write out the word "angle" when needed instead of using the "<" symbol in your answers.
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Question 1 (Multiple Choice Worth 3 points)
B is between A and C.
AB=4x
BC=7x
AC=55
What is the value of AB?
35
20
11
5
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Question 2 (Multiple Choice Worth 3 points)
Which of the following sets of points are coplanar? (Hint: The points do not have to be on plane Q.)
T, W, X, Y
U, V, X, Y
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Question 3 (Multiple Choice Worth 3 points)
Find the midpoint of the points (2,-5) and (-3, 0).
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Question 4 (Multiple Choice Worth 3 points)
Which of the following sets of points are collinear and lie on?
T, U, V
X, Y, Z
X, U, Z
W, Y, T
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Question 5 (Multiple Choice Worth 3 points)
Which of the following represents ¡®the measure of segment AB¡¯?
AB
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Question 6 (Multiple Choice Worth 3 points)
Which of the following is not an acceptable way to represent the figure below?
AB
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Question 7 (Multiple Choice Worth 3 points)
Which postulate relates to the following scenario?
A wedding videographer uses a tripod to hold the video camera.
Through any two points, there is exactly one line.
A line contains at least two distinct points.
Through any three noncollinear points, there is exactly one plane.
A plane contains at least three noncollinear points.
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Question 8 (Multiple Choice Worth 3 points)
Which of the following represents the intersection of two planes?
a line
a point
two points
a point or a line
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Question 9 (Multiple Choice Worth 3 points)
Which of the following is NOT an undefined term of Geometry?
point
segment
line
plane
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Question 10 (Multiple Choice Worth 3 points)
Find the distance between the points (2, -5) and (-3, 0).
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Question 11 (Essay Worth 4 points)
B is between A and C.
AB=3x+4
BC=5x+1
AC=61
What is the value of x? Show your work for credit.
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Question 12 (Essay Worth 4 points)
B is the midpoint of.
AB=3x
AC=7x-5
What is the value of BC? Show your work for credit.
3x = .5 (7x - 5)
6x = 7x - 5
-x = -5
x = 5
AB = 3(5)
AB = 15
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Question 13 (Essay Worth 4 points)
M is the midpoint of. Find the coordinates of B given A(-2,4) and M(3,1). Show your work for credit.
3 = (-2 + x©ü) / 2
6 = -2 + x©ü
x©ü = 8
1 = (4 + y©ü) / 2
2 = 4 + y©ü
y©ü = -2
M (8, -2)
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Question 14 (Essay Worth 4 points)
Tallahassee was established as the capitol of Florida because it was between Pensacola and St. Augustine. The distance from Pensacola to Tallahassee can be represented as (3x + 40) miles. The distance from Tallahassee to St. Augustine can be represented as (4x + 5) miles. The distance from Pensacola to St. Augustine is 395 miles. Is Tallahassee the midpoint of Pensacola and St. Augustine? Show your work to support your conclusion.
7x+45=395
7x=350 so x=50
3(50)+40+4(50)+5=395
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Question 15 (Essay Worth 4 points)
A scalene triangle is a triangle that has no congruent sides.
1. Use the information given in the triangle below to find AB, BC and AC.
2. Determine if the triangle is scalene or not based on the lengths of the three sides.
Show your work and support your conclusion
A (3,6)
B(6,3)
C(1,1)
Find the midpoint of the points (2,-5) and (-3, 0). (3 points)
A.
B.
C.
D.
I assume that this is a practice exam.
There is no point in my doing it. The idea is that you try and ask us to check your answers and help if you get stuck after seeing what you tried to do.
If I just do the problems, you will not be in any better position to take the exam than you are right now, although I might be.
Question 12 (Essay Worth 4 points)
B is the midpoint of.
AB=3x
AC=7x-5
What is the value of BC? Show your work for credit.
3x = .5 (7x - 5)
6x = 7x - 5
-x = -5
x = 5
AB = 3(5)
AB = 15
Question 13 (Essay Worth 4 points)
M is the midpoint of. Find the coordinates of B given A(-2,4) and M(3,1). Show your work for credit.
3 = (-2 + x©ü) / 2
6 = -2 + x©ü
x©ü = 8
1 = (4 + y©ü) / 2
2 = 4 + y©ü
y©ü = -2
M (8, -2)
Question 14 (Essay Worth 4 points)
Tallahassee was established as the capitol of Florida because it was between Pensacola and St. Augustine. The distance from Pensacola to Tallahassee can be represented as (3x + 40) miles. The distance from Tallahassee to St. Augustine can be represented as (4x + 5) miles. The distance from Pensacola to St. Augustine is 395 miles. Is Tallahassee the midpoint of Pensacola and St. Augustine? Show your work to support your conclusion.
7x+45=395
7x=350 so x=50
NOW see if
3 x + 40
is half of 395
3x+40 = 150 + 40 = 190
twice 190 = 380
SO NO
in the standard (x,y) coordinate plane, point m with coordinates (5,4) is the midpoint of line ab, and b has coordinates (7,3). what are the coordnates of a?
#2
T,U,X,Y
i am doing the same quiz and a couple of the answers yall gave her are wrong.
M is the midpoint ofSymbol for Segment A B.. Find the coordinates of B given A(7,-2) and M(10,10). Show your work for credit.
To find the length of segment AB, we can use the distance formula. The distance formula is the square root of the sum of the squared differences of the coordinates.
For segment AB, the coordinates are (3,6) and (6,3).
The distance formula is:
sqrt((x2-x1)^2 + (y2-y1)^2)
Plugging in the coordinates, we get:
sqrt((6-3)^2 + (3-6)^2)
sqrt(3^2 + (-3)^2)
sqrt(9 + 9)
sqrt(18)
Simplifying the square root, we get:
sqrt(9 * 2)
sqrt(9) * sqrt(2)
3 * sqrt(2)
Therefore, the length of segment AB is 3sqrt(2).
To find the length of segment BC, we can use the distance formula again. The coordinates for segment BC are (6,3) and (1,1).
Plugging in the coordinates, we get:
sqrt((1-6)^2 + (1-3)^2)
sqrt((-5)^2 + (-2)^2)
sqrt(25 + 4)
sqrt(29)
Therefore, the length of segment BC is sqrt(29).
To find the length of segment AC, we can again use the distance formula. The coordinates for segment AC are (3,6) and (1,1).
Plugging in the coordinates, we get:
sqrt((1-3)^2 + (1-6)^2)
sqrt((-2)^2 + (-5)^2)
sqrt(4 + 25)
sqrt(29)
Therefore, the length of segment AC is also sqrt(29).
Since AB, BC, and AC all have different lengths, the triangle is scalene.