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
The correct response is:
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 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
To determine the quadrant in which the polygon lies, we need to look at the signs of the x and y coordinates.
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.
Given the coordinates (15,−3) , (19,−6) , and (15,−10) , what would be the length of the vertical side, in centimeters?(1 point) cm
To find the length of the vertical side of the polygon with the given coordinates, we first need to identify the vertical side.
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.