Question

Pentagon OPQRS is shown on the coordinate plane below: If pentagon OPQRS is dilated by a scale factor of from the origin, to create O'P'Q'R'S', what is the ordered pair of point Q'? (4 points)

Answer 1

Answer:

(-5.25, -3.5)

Step-by-step explanation:

As it is mentioned in the question that a pentagon OPQRS is dilated by a scale factor i.e k arise form the origin to develop O'P'Q'R'S'.

As we know that after considering the dilation of any figure from the center by taking a scale factor i.e k, so the new figure coordinates is

= (kx,ky)

where,

(x,y) = coordinates of the mentioned figure

As we can see from the attached figure that the Q coordinates is (-3,-2)

So, the Q' coordinates are (k2,k5) is

$= (\frac{7}{4}\times -3, \frac{7}{4}\times -2)\\\\=(\frac{-21}{4} , \frac{-14}{4})$

= (-5.25, -3.5)