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?

1 Answer
Nov 12, 2017

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)#