Question

Quadrilateral PQRS has vertices P(2, 10), Q(6, 8), R(6, 3), and K(2, 3).

What are the coordinates of S’ after a dilation of quadrilateral PQRS by a factor of 2 centered at the origin?

Answer 1

As jitumahi456 states B).(4, 6) is the correct answer.

Explanation:

I took the test on edg.

Answer 2

`S'(4,6)`

Explanation:

Dilation rules :

For a pre-image point
`(x,y)` which is dilated by a scalar factor of
`k` about the origin, the corresponding point of the image can be given by
`(kx,ky)`

Pre-image point
`(x,y)\rightarrow (kx,ky)` Image point

Given points of quadrilateral PQRS.

P(2,10)

Q(6,8)

R(6,3)

S(2,3)

The quadrilateral is dilated about the origin by a scalar factor of 2.

The co-ordinates of point S' after dilation can be given by:

`S(2,3)\rightarrow S'((2*2),(2*3))`

Thus
`S'(4,6)` (Answer)