You are designing a rectangular playground. On your scale drawing, the vertices of the rectangle are (6, 3), (6, 5), and (8, 3). What are the coordinates of the fourth vertex?
(4,5)
(8, 5)*
(8, 1)
(5, 8)
This is the Unit 4 lesson 12 Graphing In The Coordinate plane test. If anyone can give me the answers to all of the multiple choice questions IN WORD FORM (There are 18 of them) It would be highly appreciated! I need them ASAP! THANK YOU! I need to check them badly and I need to ace this test. If it could be verified to that would be amazing!
Yes, the top is at y = 5
As for the rest, why are you asking some old retired engineering professor who has no idea and is not exactly charmed by the question? There is not much gained by acing a test if someone else does it for you.
So the answer to the question is the one i thought it was?
Thank you!
Based on the given information, the coordinates of the fourth vertex of the rectangular playground can be determined by observing the pattern of the given vertices.
Since the first two vertices have the same x-coordinate (6), and the third vertex has a different x-coordinate (8), we can determine that the fourth vertex should have the same x-coordinate as the third vertex, which is 8.
Similarly, since the first and third vertices have the same y-coordinate (3), and the second vertex has a different y-coordinate (5), we can determine that the fourth vertex should have the same y-coordinate as the second vertex, which is 5.
Therefore, the coordinates of the fourth vertex are (8, 5).
To find the coordinates of the fourth vertex of the rectangular playground, you can use the fact that opposite sides of a rectangle are parallel and equal in length.
Let's examine the given coordinates. The first two vertices are (6, 3) and (6, 5), which means they have the same x-coordinate of 6. This suggests that one side of the rectangle is vertical and has a length of 5 - 3 = 2 units.
The second and third vertices are (6, 5) and (8, 3), which means they have the same y-coordinate of 5. This suggests that the other side of the rectangle is horizontal and has a length of 8 - 6 = 2 units.
Now, we can find the fourth vertex by extending these sides. Since one side is vertical and starts at (6, 3), we can extend it 2 units downward to get (6, 1).
Similarly, since the other side is horizontal and starts at (8, 3), we can extend it 2 units to the right to get (10, 3).
Therefore, the coordinates of the fourth vertex are (10, 1), which is not listed among the given multiple-choice options.