Rectangle pqrs has length a and width 4b. The x-axis bisects ps and qr what are the coordinates of the vertices

Question

asked Jul 23, 2020 148k views

1 Answer

Isaac Abraham · Answer 1 · 2020-07-29T21:33:41+0000

Answer: The coordinates of PQRS is
$(0,2b),(a,2b),(a,-2b)\ and\ (0,-2b)$ respectively.

Explanation:

Since we have given that

PQRS is a rectangle.

Length of PQRS = a units

Width of PQRS = 4b units

And we have given that the x-axis bisects PS and QR .

So, the figure is shown below:

Coordinates of P becomes

$(0,2b)\\\\\text{ because width= 4b and x-axis bisects so, it becomes half of 4b}$

Coordinates of Q becomes
(a,2b)

Coordinates of R becomes
(a,-2b)

Coordinates of S becomes
(0,-2b)

Hence the coordinates of PQRS is
$(0,2b),(a,2b),(a,-2b)\ and\ (0,-2b)$ respectively.