Question

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

Answer 1

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

Step-by-step 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.