Question

If pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O'P'Q'R'S', what is the ordered pair of point P'?

Answer 1

(−5.25, −3.5) cause I took the test today. Are you in my class? Lol..

Answer 2

Answer: (-8.75,5.25)

Step-by-step explanation:

Given: The scale factor of dilation : $k=\dfrac{7}{4}$

We know that the coordinates of a figure (x,y) after dilation with sacle factor k becomes (kx, ky).

From the given picture, the coordinates of point P =(-5,3)

Then , the coordinates of point P' after dilation by scale factor of  $k=\dfrac{7}{4}$ will be :

$(-5\times\dfrac{7}{4},3\times\dfrac{7}{4})=(-8.75,5.25)$

Hence, the ordered pair of point P' =(-8.75,5.25)