Question

One size of a rectangle is parallel to the x-axis. One vertex of the rectangle is located at (5,2) and another vertex at (1,4). What are the counselors of the other two vertices?

Answer 1

Coordinates of other two vertices are `(1,2)` and `(5,4)`

Explanation:

As one size of a rectangle is parallel to the `x`-axis and one vertex of the rectangle is located at `(5,2)`,

one of the sides is `y=2` and other side would be `x=5`, which is perpendicular to `y=2`. Observe that `x=5` is parallel to `y`-axis.

As two sides are `x=5` and `y=2` and none pass through vertex at `(1,4)`,

we must have two other sides of rectangle as `x=1` and `y=4`

Hence coordinates of other two vertices are `(1,2)` and `(5,4)`.