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 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. 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. 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. 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. Skip to navigation
13 answers
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: (−1,−4), (3,−2), and (3,−5).
The points given are (9,−2), (12,−5), and (5,−7).
For the point (9,−2):
- x coordinate is positive (9),
- y coordinate is negative (−2).
For the point (12,−5):
- x coordinate is positive (12),
- y coordinate is negative (−5).
For the point (5,−7):
- x coordinate is positive (5),
- y coordinate is negative (−7).
Since all the x coordinates are positive and all the y coordinates are negative, the polygon lies in Quadrant IV.
Therefore, the answer is 4 for Quadrant IV.
The vertical side is the side that runs parallel to the y-axis, so we need to find the difference in the y-coordinates of the two points that make up this side.
The points given are (15,−3), (19,−6), and (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
Therefore, the length of the vertical side is 7 centimeters.
If we assume that Point D is located at (x, y), then to find the coordinates of Point F such that the distance between D and F is 2 cm, we would calculate as follows:
- The second coordinate of Point D is y.
- To make a line segment FD of length 2 cm, the x-coordinate of Point F would be x + 2.
Therefore, the coordinates of Point F would be (x + 2, y).
Based on the provided choices, the correct response would be:
(−1, 1) or coordinates (-1+2, 1) = (1, 1)
The coordinates given for the vertices are:
A (2,−5)
B (5,−5)
C (5,−1)
D (2,−1)
To find the length of the rectangle AB (or DC), we calculate the difference in x-coordinates:
Length AB = |5 - 2| = 3 units
To find the width of the rectangle AD (or BC), we calculate the difference in y-coordinates:
Width AD = |-1 - (-5)| = 4 units
Now, we can calculate the area of the rectangle by multiplying the length and width:
Area = Length × Width
Area = 3 × 4 = 12 square units
Therefore, the area of rectangle ABCD is 12 square miles.