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Outcome 14: Assessment

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Last updated about 6 years ago
20 questions
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NC.M3.G-CO.14
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NC.M3.G-CO.11
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NC.M3.G-CO.11
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NC.M3.G-CO.11
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NC.M3.G-CO.11
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NC.M3.G-CO.11
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NC.M3.G-CO.10
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NC.M3.G-CO.10
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NC.M3.G-CO.10
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NC.M3.G-CO.14
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NC.M3.G-CO.14
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NC.M3.G-CO.14
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NC.M3.G-CO.14
Question 1
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Question 2
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Question 3
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Question 4
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Question 5
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Question 6
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Question 7
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Question 8
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Question 9
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Question 10
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Question 11
11.

Question 12
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Question 13
13.

Harvey makes custom countertops out of thick slabs of wood. After finishing a project for a client Harvey has a scrap piece wood that is diagramed below. These pieces of wood are very expensive, and he wants to minimize waste. He decides to make a table out of this scrap piece of wood without making any additional cuts. Harvey wants the able to have 3 legs that meet at one point on the underside of the table. Where should all three legs meet so that the table is level?


Determine which point of concurrency would be utilized and explain which properties about that point of concurrency are represented in the problem. You are then need to create a diagram or model displaying why that point of concurrency works.

Question 14
14.

Denise has two dogs that like to roam. She is tired of soaking wet dogs coming into her house, her neighbors are tired of unwelcome visitors, and she doesn’t want to worry about them getting hit by a car. It was these three issues that convinced her to purchase a wireless pet fence. The fence sends out a wireless signal in a circle with a radius of up to 90’. Where should Denise plug in the wireless station so that her dogs have the largest possible range but stay within her property lines, away from the river and away from the road?

Determine which point of concurrency would be utilized and explain which properties about that point of concurrency are represented in the problem. You are then need to create a diagram or model displaying why that point of concurrency works.

Question 15
15.

Robert is competing in a bicycle cross-country race. The track will be triangular. Robert's grandmother is wheelchair bound, and wants to see her grandson ride the bike on each straight part of the track, and she wants to move the minimum distance possible. At what point will her distances to each of the straight portions of the track be the smallest?

Determine which point of concurrency would be utilized and explain which properties about that point of concurrency are represented in the problem. You are then need to create a diagram or model displaying why that point of concurrency works.

Question 16
16.

Jeanie purchased a wireless router. The wireless router has a range of 300’. She likes to go out on her patio and work from her laptop. Where should she place the router so she has secure WiFi on all areas of her property?

Determine which point of concurrency would be utilized and explain which properties about that point of concurrency are represented in the problem. You are then need to create a diagram or model displaying why that point of concurrency works.

Question 17
17.

You can show that a quadrilateral is a parallelogram using any of the conditions listed below.

Determine whether the quadrilateral must be a parallelogram.
Justify Your Answer.


Question 18
18.

You can show that a quadrilateral is a parallelogram using any of the conditions listed below.

Determine whether the quadrilateral must be a parallelogram.
Justify Your Answer.


Question 19
19.

You can show that a quadrilateral is a parallelogram using any of the conditions listed below.

Determine whether the quadrilateral must be a parallelogram.
Justify Your Answer.


Question 20
20.

You can show that a quadrilateral is a parallelogram using any of the conditions listed below.

Determine whether the quadrilateral must be a parallelogram.
Justify Your Answer.


Which expression is NOT always true?



In the above proof, what is reason (3)?
ASA
Alternate interior angles
SAS
CPCTC
I only
II only
I and II
I, II, and III
In which quadrilateral are the diagonals always congruent?
parallelogram
rhombus
trapezoid
rectangle
ABCD is a rhombus.
105
110
55
70
In the parallelogram ABCD, m∠A = 2x + 50 and m∠C = 3x + 40 . The measure of ∠A is _____________.
70 degrees
20 degrees
18 degrees
86 degrees
I, II, and III
II only
III only
I and II
I only
Point Q represents which point of concurrency?

Centroid
Circumcenter
Orthocenter
Incenter
Three towns, Maybury, Junesville, and Cyanna, will create one sports center. Where should the center be placed so that it is the same distance from all three towns?
Treat the towns as vertices of a triangle. The center must be places at the triangle's centroid.
Treat the towns as vertices of a triangle. The center must be places at the triangle's orthocenter.
Treat the towns as vertices of a triangle. The center must be places at the triangle's incenter.
Treat the towns as vertices of a triangle. The center must be places at the triangle's circumcenter.

(Z is the bottom letter, chopped off in the figure! 🤔 )

4.2
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7.4
14.8