Question
Coordinate Geometry and Nets Unit Test
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Question
Which correctly shows a polygon on the coordinate plane that was drawn using the coordinates (−1,−4), (3,−2), and (3,−5)?(1 point)
Responses
A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 1 comma 4 right parenthesis, left parenthesis 3 comma 2 right parenthesis, and left parenthesis 3 comma 5 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 1 comma 4 right parenthesis, left parenthesis 3 comma 2 right parenthesis, and left parenthesis 3 comma 5 right parenthesis.
A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 1 comma negative 4 right parenthesis, left parenthesis 3 comma negative 2 right parenthesis, and left parenthesis 3 comma negative 5 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 1 comma negative 4 right parenthesis, left parenthesis 3 comma negative 2 right parenthesis, and left parenthesis 3 comma negative 5 right parenthesis.
A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis 3 comma negative 2 right parenthesis, left parenthesis 3 comma negative 5 right parenthesis, and left parenthesis 4 comma negative 4 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis 3 comma negative 2 right parenthesis, left parenthesis 3 comma negative 5 right parenthesis, and left parenthesis 4 comma negative 4 right parenthesis.
A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 3 comma negative 2 right parenthesis, left parenthesis negative 3 comma negative 5 right parenthesis, and left parenthesis negative 1 comma negative 4 right parenthesis.
Image with alt text: A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: left parenthesis negative 3 comma negative 2 right parenthesis, left parenthesis negative 3 comma negative 5 right parenthesis, and left parenthesis negative 1 comma negative 4 right parenthesis.
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Answers
GPT 3.5
The correct response is: A coordinate plane with 4 quadrants shows the x and y axes ranging from negative 6 to 6 in unit increments. A triangle is formed by joining three plotted points. The coordinates of the vertices of the triangle are as follows: (-1, -4), (3, -2), and (3, -5).
Coordinate Geometry and Nets Unit Test
2 of 152 of 15 Items
Question
The coordinates (9,−2) , (12,−5) , and (5,−7) were plotted on a coordinate plane, and a polygon was drawn. Is the polygon in Quadrant I, II, III, or IV? Answer 1 for Quadrant I, 2 for Quadrant II, 3 for Quadrant III, or 4 for Quadrant IV. (1 point)
Quadrant
GPT 3.5
The correct answer is: Quadrant II
Given the coordinates (15,−3) , (19,−6) , and (15,−10) , what would be the length of the vertical side, in centimeters?(1 point)
cm
cm
GPT 3.5
To find the length of the vertical side, we need to calculate the difference between the y-coordinates of the two points that form that side.
The y-coordinates of the points given are:
- (15, - 3)
- (19, - 6)
- (15, - 10)
The vertical side is formed by the points (15, -3) and (15, -10).
The difference in the y-coordinates is:
-10 - (-3) = -10 + 3 = -7
So, the length of the vertical side is 7 centimeters.
The y-coordinates of the points given are:
- (15, - 3)
- (19, - 6)
- (15, - 10)
The vertical side is formed by the points (15, -3) and (15, -10).
The difference in the y-coordinates is:
-10 - (-3) = -10 + 3 = -7
So, the length of the vertical side is 7 centimeters.
se the image to answer the question.
A coordinate plane shows the x and y axes ranging from negative 6 to 6 in unit increments. Four points are plotted and labeled on the plane. The coordinates of the plotted points and the labels are as follows: left parenthesis 2 comma 1 right parenthesis is labeled as daisies, left parenthesis 5 comma 1 right parenthesis as roses, left parenthesis 5 comma 5 right parenthesis as lilies, and left parenthesis 2 comma 6 right parenthesis as sunflowers.
A map of a flower shop is shown. How far are the sunflowers located from the daisies? Each coordinate represents a foot.
(1 point)
Responses
5 feet
5 feet
7 feet
7 feet
4 feet
4 feet
3 feet
3 feet
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A coordinate plane shows the x and y axes ranging from negative 6 to 6 in unit increments. Four points are plotted and labeled on the plane. The coordinates of the plotted points and the labels are as follows: left parenthesis 2 comma 1 right parenthesis is labeled as daisies, left parenthesis 5 comma 1 right parenthesis as roses, left parenthesis 5 comma 5 right parenthesis as lilies, and left parenthesis 2 comma 6 right parenthesis as sunflowers.
A map of a flower shop is shown. How far are the sunflowers located from the daisies? Each coordinate represents a foot.
(1 point)
Responses
5 feet
5 feet
7 feet
7 feet
4 feet
4 feet
3 feet
3 feet
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GPT 3.5
To find the distance between two points on a coordinate plane, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Given the coordinates:
Daisies (2, 1)
Sunflowers (2, 6)
Plugging the values into the formula:
Distance = √((2 - 2)^2 + (6 - 1)^2)
Distance = √(0^2 + 5^2)
Distance = √(0 + 25)
Distance = √25
Distance = 5 feet
Therefore, the sunflowers are located 5 feet from the daisies.
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Given the coordinates:
Daisies (2, 1)
Sunflowers (2, 6)
Plugging the values into the formula:
Distance = √((2 - 2)^2 + (6 - 1)^2)
Distance = √(0^2 + 5^2)
Distance = √(0 + 25)
Distance = √25
Distance = 5 feet
Therefore, the sunflowers are located 5 feet from the daisies.
Use the image to answer the question.
An illustration shows a coordinate plane with the x axis extending from negative 3 to 1 and the y axis extending from negative 2 to 3 in increments of 1. Points upper C, upper D, and upper E are plotted in quadrant 2. Upper C is plotted at left parenthesis negative 1 comma 2 right parenthesis. Upper D is plotted at left parenthesis negative 3 comma 1 right parenthesis. Upper E is plotted at left parenthesis negative 2 comma 3 right parenthesis.
Point D and Point F have the same second coordinate, and ECFD is a quadrilateral. What coordinates would Point F be plotted at to make line segment FD have a length of 2 cm?
(1 point)
Responses
(−1, 0)
left parenthesis negative 1 comma 0 right parenthesis
(−2, 2)
left parenthesis negative 2 comma 2 right parenthesis
(−1, 1)
left parenthesis negative 1 comma 1 right parenthesis
(1, −1)
An illustration shows a coordinate plane with the x axis extending from negative 3 to 1 and the y axis extending from negative 2 to 3 in increments of 1. Points upper C, upper D, and upper E are plotted in quadrant 2. Upper C is plotted at left parenthesis negative 1 comma 2 right parenthesis. Upper D is plotted at left parenthesis negative 3 comma 1 right parenthesis. Upper E is plotted at left parenthesis negative 2 comma 3 right parenthesis.
Point D and Point F have the same second coordinate, and ECFD is a quadrilateral. What coordinates would Point F be plotted at to make line segment FD have a length of 2 cm?
(1 point)
Responses
(−1, 0)
left parenthesis negative 1 comma 0 right parenthesis
(−2, 2)
left parenthesis negative 2 comma 2 right parenthesis
(−1, 1)
left parenthesis negative 1 comma 1 right parenthesis
(1, −1)
GPT 3.5
To find the coordinates of Point F to make line segment FD have a length of 2 cm, we need to consider the y-coordinate of point D and find the y-coordinate that is 2 units away.
Given:
Point D: (-3, 1)
We need to find the y-coordinate that is 1 + 2 = 3.
Therefore, Point F should be at coordinates (-3, 3) to make line segment FD have a length of 2 cm.
Given:
Point D: (-3, 1)
We need to find the y-coordinate that is 1 + 2 = 3.
Therefore, Point F should be at coordinates (-3, 3) to make line segment FD have a length of 2 cm.
Find the area of rectangle ABCD that has vertices point A (2,−5) , point B (5,−5) , point C (5,−1) , and point D (2,−1) in square miles.(1 point)
The area of rectangle ABCD is
square miles.
The area of rectangle ABCD is
square miles.
GPT 3.5
To find the area of a rectangle, we can use the formula:
Area = length x width
Given the coordinates of the vertices of the rectangle:
A (2, -5)
B (5, -5)
C (5, -1)
D (2, -1)
The length of the rectangle can be found by calculating the difference in x-coordinates between points A and B:
Length = 5 - 2 = 3 units
The width of the rectangle can be found by calculating the difference in y-coordinates between points A and D:
Width = -1 - (-5) = 4 units
Now we can calculate the area:
Area = 3 units x 4 units = 12 square units
Therefore, the area of rectangle ABCD is 12 square miles.
Area = length x width
Given the coordinates of the vertices of the rectangle:
A (2, -5)
B (5, -5)
C (5, -1)
D (2, -1)
The length of the rectangle can be found by calculating the difference in x-coordinates between points A and B:
Length = 5 - 2 = 3 units
The width of the rectangle can be found by calculating the difference in y-coordinates between points A and D:
Width = -1 - (-5) = 4 units
Now we can calculate the area:
Area = 3 units x 4 units = 12 square units
Therefore, the area of rectangle ABCD is 12 square miles.
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