Question

The coordinates of a quadrilateral are shown: • point J (–4.5, 3) • point K (–1.2, 3) • point L (–1.2, 8.7) • point M (–4.5, 8.7) Brenda claims that quadrilateral JKLM is a square. Part A Show or explain why Brenda is not correct. Enter your work or explanation in the box provided.

Part B
Select new coordinates for point L and point M so that quadrilateral JKLM is a square.
Show or explain all of the steps you used to determine the new locations of the
two points.
Enter your answers and your work or explanation in the box provided.

Answer 1

Part A
For this case we observe that the quadrilateral is not a square because it does not have the same dimensions.
It has two different dimensions.
Therefore, the quadrilateral is a rectangle.

Part B

The difference between the horizontal coordinates of points L and M must necessarily be:
Mx-Lx = 8.7-3
Mx-Lx = 5.7
Therefore choosing the coordinates we have:
L (-1.2, 8.7)
M (-6.9, 8.7)