Coordinate Geometry and Nets Unit Test

Question

1 of 151 of 15 Items
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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Answer 1

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).

Answer 2

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

Answer 3

The correct answer is: Quadrant II

Answer 4

Given the coordinates (15,−3) , (19,−6) , and (15,−10) , what would be the length of the vertical side, in centimeters?(1 point)
cm

Answer 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.

Answer 6

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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Answer 7

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.

Answer 8

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)

Answer 9

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.

Answer 10

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.

Answer 11

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.