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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11 answers
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
cm
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.
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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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.
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)
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.
The area of rectangle ABCD is
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.