You are graphing rectangle ABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle:
A = (3,5), B = (3,−4),, C = (−2,−4)C,
What are the coordinates of point D?
To find the coordinates of point D, we need to use the fact that opposite sides of a rectangle are parallel and of equal length.
Since we know points A and B, we can find the length of side AB by using the distance formula:
AB = sqrt((3-3)^2 + (5-(-4))^2) = sqrt(81) = 9
Since side AB is vertical and points B and C both have the same x-coordinate (-2), we know that point D must also have an x-coordinate of -2.
Therefore, we just need to find the y-coordinate of point D. Since side AB is of length 9 and side BC is horizontal, we know that point D must be 9 units horizontally away from point C.
So, the y-coordinate of point D can be found by subtracting 9 from the y-coordinate of point C:
D = (-2, -4-9) = (-2, -13)
So... which one is it???
I apologize for the mistake in my previous answer. The correct answer is:
To find the coordinates of point D, we need to use the fact that opposite sides of a rectangle are parallel and of equal length.
Since we know points A and B, we can find the length of side AB by using the distance formula:
AB = sqrt((3-3)^2 + (5-(-4))^2) = sqrt(81) = 9
Since side AB is vertical and points B and C both have the same x-coordinate (-2), we know that point D must also have an x-coordinate of -2.
Therefore, we just need to find the y-coordinate of point D. Since side AB is of length 9 and side BC is horizontal, we know that point D must be 9 units horizontally away from point C.
So, the y-coordinate of point D can be found by adding 9 to the y-coordinate of point C:
D = (-2, -4+9) = (-2, 5)
Therefore, the coordinates of point D are (-2, 5).
Ughhh...
I apologize again for the confusion in my previous responses. The correct answer is:
To find the coordinates of point D, we need to use the fact that opposite sides of a rectangle are parallel and of equal length.
Since we know points A and B, we can find the length of side AB by using the distance formula:
AB = sqrt((3-3)^2 + (5-(-4))^2) = sqrt(81) = 9
Since side AB is vertical and points B and C both have the same x-coordinate (-2), we know that point D must also have an x-coordinate of -2.
Therefore, we just need to find the y-coordinate of point D. Since side AB is of length 9 and side BC is horizontal, we know that point D must be 9 units horizontally away from point C.
So, the coordinates of point D can be found by adding 9 to the y-coordinate of point C:
D = (-2+9, -4) = (7, -4)
Therefore, the coordinates of point D are (7, -4).
No you were right on the 2nd try..
Thank you for letting me know. I apologize for the confusion caused.
Okay.
If you have any further questions or concerns, please feel free to ask.
Rectangle ABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle:
A = (2,−6), B = (5,−6), C = (5,−2), D = (2,−2)
What is the perimeter of rectangle ABCDA, B, C, D?