example
sorry for caps
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? 1: (4,5) 2: (8,5) 3: (8,1) 4: (5,8)
Why don't you plot the points and it will become clear
or
looks like the lines are vertical and horizontal on the grid, I noticed 2 x's of 6 and 2 y's of 3
Do you think we should get another pair?
Unit 4 lesson 12
Graphing coordinate plane unit test
1. (-3,2)
2. (4,10)
3. (10,-52)
4. D
5. B
6. (-10,-2),(1,-4),(0,-6)
7. B
8. A
9. D
10. B
11. C
12. A
13. A
14. D
15. C
16. D
17. D
18. B
19-22 essay
To determine the coordinates of the fourth vertex of the rectangular playground, we need to understand that a rectangle has two sets of parallel sides. In this case, we already have three vertices: (6,3), (6,5), and (8,3).
First, let's analyze the vertical sides of the rectangle: (6,3) to (6,5) and (8,3) to (fourth vertex, ?).
Since both vertical sides are parallel, the y-coordinate of (fourth vertex, ?) should be the same as the y-coordinate of the second given vertex which is (6,5). Therefore, the y-coordinate of the fourth vertex is 5.
Now, let's analyze the horizontal sides of the rectangle: (6,3) to (8,3) and (fourth vertex, ?) to (8,3).
Again, since both horizontal sides are parallel, the x-coordinate of (fourth vertex, ?) should be the same as the x-coordinate of the third given vertex which is (8,3). Therefore, the x-coordinate of the fourth vertex is 8.
By taking into account the information we derived from the parallel sides of the rectangle, the coordinates of the fourth vertex are (8, 5).
Therefore, the correct option is: 2: (8, 5).