3. Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. two of the vertices were \( (4,-3) \) and \( (-1,-3) \). What could be the coordinates of the other two vertices of the rectangle?
a. \( (4,6) \) and \( (-1,6) \)
c. \( (-1,1) \) and \( (4,1) \)
b. \( (4,7) \) and \( (-1,7) \)
d. \( (4,12) \) and \( (-1,12) \)

Answer

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Answer

Find \(a:(-1,6)\) and \(c:(4,6)\). Their difference matches the remaining L=W=4 \rightarrow Answer:a

Steps

Step 1 ：Calculate length of side AB: \(AB=(-1-4)^2+(-3-(-3))^2=|-5|^2+0^2=25\)

Step 2 ：Calculate perimeter: \(2(L+W)=18\)

Step 3 ：Since \(W+L=9\), check each coordinate and calculate L and W

Step 4 ：Find \(a:(-1,6)\) and \(c:(4,6)\). Their difference matches the remaining L=W=4 \rightarrow Answer:a