Question

In the coordinate plane, three vertices of rectangle PQRS are P(0, 0), Q(0, b), and S(c, 0). What are the coordinates of point R?

Answer 1

R`(c,b)`

Explanation:

Polygons are named in either clockwise or counter-clockwise order. In the rectangle PQRS, the order is clockwise.

Rectangles have four right angles.

Since P starts at the origin `(0,0)` and the second point Q `(0,b)` is straight up the `y`-axis, and S `(c,0)` is straight along the `x`-axis, the point R must be over the same distance as S `= c`, and up the same distance as Q `= b`.

This means R`(c,b)`