You are designing a rectangular playground. On your scale drawing, the vertices of the rectangle are (4, –4), (4, 2), and (7, –4). What are the coordinates of the fourth vertex?
(2, 7)
(1, 2)
(7, –10)
(7, 2)
Note that both left corners have x=4
So, both right corners will have x=7
both bottom corners have y = -2
both top corners will have y=2
It would have been much easier just to plot the three points, and all would have been clear. Just draw the missing lines.
(4, 2)---------------(7, 2).
(4, -4)-------------(7, -4).
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 find the coordinates of the fourth vertex of the rectangular playground, we can use the fact that opposite sides of a rectangle are equal in length.
First, let's label the given vertices:
A = (4, -4)
B = (4, 2)
C = (7, -4)
To find the fourth vertex, we need to find the point that is an equal distance from both vertex A and vertex B.
Since A and B have the same x-coordinate, we know that the fourth vertex will also have an x-coordinate of 4.
Next, we need to find the y-coordinate of the fourth vertex. We can take the difference between the y-coordinates of A and B, and add it to the y-coordinate of C.
y-coordinate of vertex C - (y-coordinate of A - y-coordinate of B) = -4 - (-4 - 2) = -4 - (-6) = -4 + 6 = 2
Therefore, the coordinates of the fourth vertex are (4, 2).
The correct answer is (7,2).