Question

On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(3, 2) and Q(−3, 2). What is the length of Side PQ of the polygon?

Answer 1

Answer: 5

Explanation:

Answer 2

The length of the side is the distance between the two points. The distance between two points is:

d^2=(x2-x1)^2+(y2-y1)^2, so in this case:

d^2=(-3-3)^2+(2-2)^2

d^2=(-6)^2+0^2

d^2=36

d=√36

d=6 units.

Note we could have just observed that the y-coordinate did not change and know that the distance between the two points or the length of the sides was just the change in x: 3--3=6 units.