PQRS is a square of side length 5 units and the coordinated of p (-2 0) and R (5,1). Find the coordinate Q and S?

Original post by mohammad_azam78

PQRS is a square of side length 5 units and the coordinated of p (-2 0) and R (5,1). Find the coordinate Q and S?

Get some graph paper, and draw a pair of axes - crossing at (0,0). Then mark the point P, which you kow is at (-2,0), and the point R, which you know is at (5,1).

You know these represent two diagonally opposite points on a square, and I'm sure you'll be able to "see" where the square must be if you do this on graph paper. If you can't quite see it, draw a dotted line between P and R. As this is a square, the sides must all be at an angle of 45 degrees to this diagonal. Does that help you see where the square must be?

Note that the sides of the square won't necessarily be vertical and horizontal.

Once you've drawn the square, just read-off the coordinates of the other two points, Q and S.

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